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I TABLE OF CONTENTS Page List of Figures ........................................................................................................................... III Table of Abbreviations ............................................................................................................. VI Abstract .................................................................................................................................. VII مستخلص ال.................................................................................................................................. VIII Chapter 1 Introduction...............................................................................................................1 1.1 Free Space Optics To The Rescue ..............................................................................1 1.2 The Local Area Network Extension Problem .............................................................1 1.3 Project Description ....................................................................................................2 1.4 Project Block Diagram .............................................................................................3 1.5 Report Layout ............................................................................................................5 Chapter 2 FSO as A Digital Communication System .................................................................6 2.1 Modulation Scheme in FSO ..............................................................................6 2.1.1 Unipolar Bi-Phase Characteristics ..................................................................7 2.2 FSO Channel Modeling .............................................................................................9 2.2.1 Attenuation ....................................................................................................9 2.2.2 Frequency Response ..................................................................................... 15 2.2.3 Induced Noise .............................................................................................. 15 2.2.4 Link Budget Equation .................................................................................. 16 Chapter 3 The Optical Transmitter ............................................................................................ 18 3.1 Light Characteristics ................................................................................................ 18 3.2 Eye Safety ............................................................................................................... 19 3.3 Driving and Conditioning Circuit ............................................................................. 20 3.4 Light-Emitting-Diodes ............................................................................................. 20 3.4.1 LED Electrical Characteristics ...................................................................... 20 3.4.2 LED Optical Characteristics ......................................................................... 23 3.5 The Designed Transmitter ........................................................................................ 25 3.5.1 Transmitter operation and simulation ........................................................... 25

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Page 1: Free Space Optics

I

TABLE OF CONTENTS Page

List of Figures ........................................................................................................................... III

Table of Abbreviations ............................................................................................................. VI

Abstract .................................................................................................................................. VII

VIII .................................................................................................................................. المستخلص

Chapter 1 Introduction...............................................................................................................1

1.1 Free Space Optics To The Rescue ..............................................................................1

1.2 The Local Area Network Extension Problem .............................................................1

1.3 Project Description ....................................................................................................2

1.4 Project Block Diagram .............................................................................................3

1.5 Report Layout ............................................................................................................5

Chapter 2 FSO as A Digital Communication System .................................................................6

2.1 Modulation Scheme in FSO ..............................................................................6

2.1.1 Unipolar Bi-Phase Characteristics ..................................................................7

2.2 FSO Channel Modeling .............................................................................................9

2.2.1 Attenuation ....................................................................................................9

2.2.2 Frequency Response ..................................................................................... 15

2.2.3 Induced Noise .............................................................................................. 15

2.2.4 Link Budget Equation .................................................................................. 16

Chapter 3 The Optical Transmitter ............................................................................................ 18

3.1 Light Characteristics ................................................................................................ 18

3.2 Eye Safety ............................................................................................................... 19

3.3 Driving and Conditioning Circuit ............................................................................. 20

3.4 Light-Emitting-Diodes ............................................................................................. 20

3.4.1 LED Electrical Characteristics ...................................................................... 20

3.4.2 LED Optical Characteristics ......................................................................... 23

3.5 The Designed Transmitter ........................................................................................ 25

3.5.1 Transmitter operation and simulation ........................................................... 25

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II

3.5.2 PCB manufacturing and implementation ...................................................... 26

3.5.3 Practical Results ........................................................................................... 28

Chapter 4 The Optical Receiver................................................................................................. 30

4.1: Introduction ............................................................................................................ 30

4.2 Photodiodes ............................................................................................................. 30

4.2.1 Introduction.................................................................................................. 30

4.2.2 Positive-Intrinsic-Negative (PIN) Photodiode ............................................... 31

4.2.3 PIN characteristics ....................................................................................... 31

4.2.4 Responsivity ................................................................................................ 33

4.2.5 PIN and the datasheet ................................................................................... 34

4.3 Receiver Stages ....................................................................................................... 35

4.3.1 Transimpedance Amplifier ........................................................................... 35

4.3.2 Post Amplifier .............................................................................................. 37

4.3.3 Limiting Amplifier ....................................................................................... 38

4.3.4 Output Stage ................................................................................................ 38

4.3.5 Received Signal Strength Indicator (RSSI) ................................................... 38

4.4 System design .......................................................................................................... 39

4.4.1 Design Revision 0 problems ......................................................................... 39

4.4.2 Design Revision 1 ........................................................................................ 39

4.4.3 The PCB ...................................................................................................... 41

4.5 Practical results ........................................................................................................ 42

Chapter 5 The Interfacing Circuit ............................................................................................ 45

5.1 Ethernet Signaling ................................................................................................... 45

5.2 Interfacing Ethernet to optical transceivers ............................................................... 46

Chapter 6: The power supply ..................................................................................................... 49

Chapter 7 Conclusion and Problems .......................................................................................... 53

REFERENCES ......................................................................................................................... 54

Appendix (A) The Link Budget .............................................................................................. A.A

Appendix (B) Datasheets ……………………………………………...………………………B.1

Page 3: Free Space Optics

III

List of Figures

Figure 1. 1: LAN extension using FSO ....................................................................................................................... 2

Figure 1. 2: Transmitter Block Diagram ................................................................................................................... 3

Figure 1. 3:Receiver Block Diagram ......................................................................................................................... 4

Figure 2. 1: Manchester and unipolar bi-phase modulation ............................................ اإلشارة المرجعية غير معرفة! خطأ.

Figure 2. 2: PSD of unipolar bi-phase signaling ............................................................... اإلشارة المرجعية غير معرفة! خطأ.

Figure 2. 3:Divergence reduction using collimating lens .................................................. اإلشارة المرجعية غير معرفة! خطأ.

Figure 2. 4: Geometric attenuation ................................................................................ اإلشارة المرجعية غير معرفة! خطأ.

Figure 2. 5: Angular alignment ....................................................................................... اإلشارة المرجعية غير معرفة! خطأ.

Figure 3. 1 The Transmitter Block Diagram ............................................................................................................ 18

Figure 3. 2 The electromagnetic spectrum with respect to the wavelength ............................................................ 19

Figure 3. 3 Characteristics curves for different types of material along with a set of gap energy ............................ 21

Figure 3. 4: BAND gap energy dependency on temperature for varous materials ................................................... 22

Figure 3. 5 The definition of rise time and fall time ................................................................................................ 25

Figure 3. 6 The Designed Optical Transmitter ........................................................................................................ 26

Figure 3. 7 Simulation results ................................................................................................................................ 27

Figure 3. 8 The Top layer of the Transmitter .......................................................................................................... 28

Figure 3. 9 The Bottom layer of the Transmitter .................................................................................................... 28

Figure 3. 10 The figure shows a 10Mbps transmitted signal and the received signal, they are almost identical ....... 29

Figure 4. 1: Receiver (Rx) block diagram ................................................................................................................ 30

Figure 4. 2: Effect of intrinsic layer on the depletion region in the PIN [10] ............................................................. 31

Figure 4. 3 PIN mode………………………………………………………………………………………………………………………………...……........33

Figure 4. 4 PIN Photodiode.................................................................................................................................... 32

Figure 4. 5: Current-voltage characteristics ........................................................................................................... 33

Figure 4. 6: Spectrum sensitivity ............................................................................................................................ 34

Figure 4. 7 Dark current relative to reverse voltage ............................................................................................... 34

Figure 4. 9 Responsivity ratio relative to light falling angle (Directional curve) ....................................................... 35

Figure 4. 8 Reverse voltage vs. capacitance ........................................................................................................... 35

Figure 4. 10 Transimpedance Amplifier ................................................................................................................. 36

Figure 4. 11 The Receiver (Revision 0) ................................................................................................................... 39

Figure 4. 12 The Receiver (Revision 1) ................................................................................................................... 40

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IV

Figure 4. 13 Receiver (Revision 1) Simulation ......................................................................................................... 41

Figure 4. 14 The top layer of the receiver .............................................................................................................. 42

Figure 4. 15 The bottom layer of the receiver ........................................................................................................ 42

Figure 4. 16 The Receiver ...................................................................................................................................... 43

Figure 4. 17 Rx and Tx signals at 1MHz ................................................................................................................. 44

Figure 4. 18 Rx and Tx signals at various signal shape ........................................................................................... 44

Figure5. 1 The interfacing circuit ........................................................................................................................... 45

Figure5. 2 10Base-T Ethernet frame ...................................................................................................................... 46

Figure5. 3 10Base-T Ethernet signaling ................................................................................................................. 46

Figure 6. 1 Block diagram of the power supply ..................................................................................................... 49

Figure 6. 2 Protection circuit of the power supply .................................................................................................. 50

Figure 6. 3 Inverting regulator .............................................................................................................................. 50

Figure 6. 4 High current +12V to +5V regulator ..................................................................................................... 51

Figure 6. 5 -12V to -5V regulator ........................................................................................................................... 51

Figure 6. 6 The top layer of the power supply ........................................................................................................ 52

Figure 6. 7 The bottom layer of the power supply .................................................................................................. 52

Page 5: Free Space Optics

V

List of Tables

Table 2. 1: The q coefficient versus visibility .................................................................... معرفة غير المرجعية اإلشارة! خطأ.

Table 4. 1: Photodiodes materials and their characteristics [12] ............................................................................ 33

Page 6: Free Space Optics

VI

Table of Abbreviations

AELs Allowable Exposure Limits

AGC Automatic Gain Control

APD Avalanche Photo-Diode

AWGN Additive White Gaussian Noise

BER Bit Error Rate

BPF Band Pass Filter

DD Direct Detection

FOV Field Of View

FSO Free Space Optics

HPF High Pass Filter

IEC International Electrotechnical

Commission

IM Intensity Modulation

IR Infra Red

ISI Inter Symbol Interference

ISP Internet Service Provider

LA Limiting Amplifier

LANs Local Area Networks

LD Laser Diode

LED Light Emitting Diode

LNA Low Noise Amplifier

LOS Line Of Sight

LPF Low Pass Filter

MC Media Converter

NEP Noise Equivalent Power

NIC Network Interface Card

NLP Normal Link Pulses

PA Post Amplifier

PCB Printed Circuit Board

PD Photo Detector

PSD Power Spectral Density

QoS Quality of Service

RSSI Received Signal Strength Indicator

SNR Signal to Noise Ratio

STP Shielded Twisted Pair

TIA Transimpedance Amplifier

WANs Wide Area Networks

Page 7: Free Space Optics

VII

Abstract

The intended scope of this project is to design, analyze, and implement a solution for

extended 10Mbps Local Area Network topology, employing a Free Space Optical data link. This

communication system is based on point to point optical transceivers having a line of sight

alignment. An interfacing circuit mediates between an Ethernet port of a Local Area Network

segment and an optical transmitter at one end, which in turn converts Ethernet frames into a

modulated optical signal, namely an Infra Red beam, via a Light Emitting Diode, then it sends

the optical signal through the atmosphere to the other end, where an optical receiver detects the

optical signal by means of a low noise photodiode amplifier. The role of the interfacing circuit at

the receiving end is to retrieve the Ethernet frames from the optical receiver, and transmit them

to another segment of the Local Area Network, therefore interconnecting the distant segments

into one extended network. A complete design and analysis of a free space optical, full duplex

10Mbps Ethernet link is presented. The design consists of three main building blocks, namely an

optical transmitter employing a driving circuit, and an infrared Light Emitting Diode, an optical

receiver employing a photodiode, a low noise transimpedance amplifier, a post amplifier, and a

limiting amplifier. An interfacing circuit based on logic gates and shift registers.

Page 8: Free Space Optics

VIII

المستخلص

هغبتح 10ذاح سرػج صخهل هذا الهصروع ػمى خصهن و خحمل و خىفذ آلج لخوسغ صتكبح االخصبل الهحم لون ىظبن االخصبل هذا ػمى هرسالح و هسخلتالح ضوئج . لكل ذبىج تبسخخدان خكىولوجب االخصبل الضوئ ػتر الفراؽ

هخصل تجزء هو صتكج اخصبل هحم تبلهرسل الضوئ ف Ethernetخلون دائرث وسطج ترتط هىفذ . خخصل ف خط األفق إلى إصبراح ضوئج ػمى صكل أصؼج خحح Ethernetل حزن الاحد طرف االخصبل ، حد لون الهرسل الضوئ تخحو

هو ذن خىخلل اإلصبرث الضوئج ػتر الغالف . حهراء هخضهىج لمهؼموهبح تبسخخدان صهبن ذىبئ تبػد لمضوء خحح األحهر خلون الدائرث . الجوي إلى الطرف األخر ، حد خن اسخلتبلهب تبسخخدان صهبن ذىبئ هسخصؼر لمضوء و هضخن كمل الخصوش

و إرسبلهب إلى جزء آخر هو صتكج االخصبل الهحم ، هحللج Ethernetالوسطج ف طرف الهسخلتل تبسخرجبع حزن الىطوي هذا الهصروع ػمى خصهن و خحمل كبهل لىظبن . االخصبل تو جزئو تؼدو هو الصتكج ف صكل صتكج هوسؼج

خكوو الخصهن هو ذالذج أجزاء أسبسج ، . هغبتح لكل ذبىج 10سرػج اخصبل ضوئ ػتر الفراؽ هزدور االخجبي ، ةو هسخلتل ضوئ خكوو هو . وه هرسل ضوئ خضهو دائرث خسوق ، و صهبن ذىبئ تبػد لألصؼج خحح الحهراء

و دائرث .لمهلبوهج كمل الخصوش ، و هضخن تؼدي ، و هضخن هحدد صهبن ذىبئ هسخصؼر لمضوء ، و هضخن خحوم . وسطج خخكوو هو تواتبح ركهج و هسجالح اىخلبلج

Page 9: Free Space Optics

1

Chapter 1 Introduction

1.1 Free Space Optics To The Rescue

In the current state of telecommunication technology, bandwidth hunger seems to be the

most dominant aspect among others. The rapid development of the „over IP‟ services, and the

exponential growth of data rates demand dictate the scene, and make it inevitable for

telecommunication engineers to address the issue, and explore new frontiers.

In the recent years, attention was called to a new technology that could participate in the

ever increasing pace of today‟s telecommunication world, that is Free Space Optics (FSO). FSO

refers to a line of sight digital telecommunication technology of broadband data transmission

through the atmosphere by means of modulated optical beams. A cutting edge technology that

could revolutionize the way we think about data streaming!

Among the most notable attributes of FSO are high speed ratings, reliability, a relatively

good coverage for short and medium range applications, inherently high security, high megabit

per dollar figure of merit, protocol independence, and license free requirements.

There are countless applications where FSO could be handy in a way or another. The last

mile loop problem, disaster recovery, metropolitan area networks, backup redundant data links,

indoor solution for short range applications, and the Local Area Connection (LAN) extension

problem, are a handful of the most important examples on such applications.

1.2 The Local Area Network Extension Problem

Local Area Networks (LANs) are known to be implemented to cover small geographical

areas with a range of tens of meters where a shared computer environment is required. A larger

coverage of broad geographical areas is implemented with Wide Area Networks (WANs), where

leased telecommunication lines are provided by an Internet Service Provider (ISP). The speed

ratings of WANs are much less than those of LANs, not to mention that WANs require access to

third party equipment, such as that of an ISP, which jeopardizes security. Therefore extended

LANs present a solution for applications where high speed data transfer, secure data links, and

relatively wide geographical areas are needed.

Page 10: Free Space Optics

2

LAN extension has been used to be implemented by means of bridged wireless links,

twisted pair or coaxial cables, and fiber optics. Ethernet over Free Space Optics (FSO) presents a

viable competitor to the latter techniques. The use of FSO avoids some technical and economical

limitations of other techniques. Some advantages FSO Ethernet links over other techniques are

ease of installation, cost effectiveness, immunity against interference, and scalability. The figure

below illustrates an extended LAN topology using an FSO link.

Figure 1. 1: LAN extension using FSO

1.3 Project Description

A typical FSO system consists of an optical transmitter, an optical receiver, and an

interfacing device which mediates between the data source and the optical transceivers. An

optical transmitter consists of a driving circuit that feeds a Light Emitting Diode (LED) with an

electrical modulating signal, which in turn is converted by the optical source into a modulated

optical beam, namely an Infra Red (IR) beam, which is then collimated by a lens before being

transmitted through the atmosphere.

At the receiving end, the optical beam is focused by a receiving lens on a high sensitivity

P-I-N photo-detector. The photo-detector converts a certain level of power intensity into a

corresponding level of electrical current. The photo-detector is connected to a Low Noise

Amplifier (LNA) for the sake of an excellent Bit Error Rate (BER) performance. The LNA in

turn converts the photo-current to an appropriate voltage level before passing it to subsequent

amplification stages, needed for a proper data retrieval.

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3

In Ethernet over FSO, interfacing a LAN segment via an Ethernet interface to the FSO

system is accomplished by means of a Media Converter (MC). The role of the MC is to encode

some Ethernet special pulses before passing the Ethernet frames to the optical transmitter, and

decode those pulses at the receiver end before passing the received signal back to an Ethernet

interface of another LAN segment.

FSO requires a clear Line Of Sight (LOS) between the transmitter and the receiver so as

for the collimated optical beam to propagate through the atmosphere without being intercepted.

A proper alignment practice is required as well. Misalignment would result in a complete

dropout or degrading of the link in terms of the effective distance.

The fundamental limitations of FSO communications are imposed by atmospheric

phenomena, which tend to attenuate the optical power in the transmitted beam, hence decreasing

the link distance. Such phenomena are scattering and scintillation. Although insignificantly

affected by rain and snow; FSO communication systems‟ Quality of Service (QoS) can be

extremely degraded by fog and atmospheric turbulence. These phenomena should be accounted

for when designing an FSO system.

1.4 Project Block Diagram

Figure 1.2 shows a block diagram of the transmitter circuitry, and Figure 1.3 shows a

block diagram of the receiver circuitry.

Figure 1. 2: Transmitter Block Diagram

Page 12: Free Space Optics

4

Figure 1. 3:Receiver Block Diagram

The transmitter interfacing circuit receives Ethernet frames from a 10Mbps Ethernet

LAN port at one end of the system, and provides the LED driver with the an appropriate signal

for transmission. The LED driving circuit amplifies the signal fed by the transmitter interface,

and provides the LED with the current level needed for a proper modulation.

At the receiving end, the intercepted optical beam generates a corresponding photo-

current in the PIN photodiode. The Trans Impedance Amplifier (TIA) converts the photo-current

into a corresponding voltage level. The TIA possesses a Low Pass Filter (LPF) characteristic,

which tend to integrate the received signal, and change its shape, therefore the post amplifier

compensates for the integrating effect of the TIA, and amplifies the signal further more. The

Limiting Amplifier (LA) ensures that the amplified signal swings between two definite voltage

levels acceptable by the receiver interfacing circuit. The Received Signal Strength Indicator

(RSSI) indicates the strength of the optical beam intercepted, and provides a way to measure the

misalignment losses, hence helping with a proper alignment practice. The receiver interfacing

circuit retrieves the Ethernet frames, and transmits them to a 10Mbps Ethernet LAN port at the

other end of the system.

Page 13: Free Space Optics

5

1.5 Report Layout

This report is divided into six chapters. A brief description of each chapter is shown below:

In chapter 2 FSO system is analyzed as a digital communication system in terms of modulation

scheme, channel modeling, and link specifications.

In chapter 3 a complete design and analysis of the optical transmitter is presented, where LED

operation is illustrated, and a driving circuit is developed.

In chapter 4 a complete design and analysis of the optical receiver is presented, where

photodiode operation is analyzed, and a structured design of a TIA, a post amplifier, an LA is

developed.

In chapter 5 Ethernet operations is presented in terms of IEEE standards concerning 10base-TX

Ethernet. An interfacing circuit in compliance with 10base-TX and 10base-FL Ethernet standards

is analyzed.

In chapter 6 the power supply is introduced.

In chapter 7 conclusions and results of the design and analysis are listed.

Page 14: Free Space Optics

6

Chapter 2 FSO as A Digital Communication System

2.1 Modulation Scheme in FSO

The selection of the right modulation scheme is of a great importance when designing an

FSO system. The modulation technique employed defines important parameters such as

bandwidth, bandwidth efficiency, and Bit Error Rate. However, there are a handful of

modulation techniques suitable for FSO transmission to be chosen among. One of the most

popular forms of modulation in FSO systems is Intensity Modulation (IM), where the waveform

of the information signal is used to modulate the instantaneous power intensity of the transmitted

energy. Power intensity is defined as the optical power emitted per solid angle. At the receiver

end; the information is recovered using a technique called Direct Detection (DD) in the sense

that the output photo-current of the photo detector is approximately proportional to the received

irradiance. Irradiance is defined as the incident power at a certain surface per unit area. [1]

In IM/DD links, the electrical data signal is used as the input of the transmitter driver,

where the instantaneous optical power intensity is modulated in accordance to the input electrical

current signal. The information sent on the channel is not contained in the amplitude, phase or

frequency of the transmitted optical waveform as it is in the heterodyning systems, but rather in

the intensity of the optical beam. The electro-optical conversion process is accomplished by a

Light Emitting Diode or a Laser Diode (LD). The opto-electrical conversion is usually performed

by a P-I-N photodiode, or an Avalanche Photo-Diode (APD).

This transmission-detection technique defines three fundamental characteristics of the

modulation scheme to be used in FSO systems:

1- In an IM/DD channel, the modulating current must be unipolar positive only, as the LED

or LD cannot be excited by a negative current.

2- The input power at the receiver is unipolar positive only, as photodiodes cannot be

excited by negative irradiance.

3- The LED modulating signal is preferably a baseband signal, in the sense that the signal

must have a zero or positive levels, thus having a frequency spectrum which is

necessarily measured from zero up to a certain frequency.

Page 15: Free Space Optics

7

According to the latter characteristics, the modulation scheme chosen for this project is

unipolar bi-phase modulation. This scheme is a unipolar version of the Manchester line

encoding, which is used in 10 Mbps Ethernet LANs, therefore choosing a close version to

Manchester encoding as a modulation scheme is a fair justification, in order to simplify the

design of the optical transceivers.

2.1.1 Unipolar Bi-Phase Characteristics

As mentioned before, unipolar bi-phase modulation is a unipolar version of the

Manchester line encoding. In Manchester encoding used in 10 Mbps Ethernet; a bit 1 is

represented by a low to high transition of the signal, while a bit 0 is represented by a high to low

transition. The low level is a negative voltage level, and the high level is a positive voltage level

equal in magnitude to that of the negative voltage. In unipolar bi-phase modulated signal; a bit 1

is represented by a transition from zero voltage to a certain positive level, while a bit 0 is

represented by a transition from that positive level to zero voltage. The figure below illustrates

the Manchester and unipolar bi-phase modulation.

Figure 2. 1: Manchester and unipolar bi-phase modulation

According to [2], The Power Spectral Density (PSD) of unipolar bi-phase signal with bit

duration T, and pulse amplitude A can be expressed by:

𝑆𝑥 𝑓 =𝐴2𝑇

4𝑠𝑖𝑛𝑐2

𝑓𝑇

2 𝑠𝑖𝑛2 𝜋

𝑓𝑇

2 1 + 𝛿 𝑓 −

𝑛

𝑇

𝑛=−∞

……………………………𝐸𝑞. (2.1)

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8

The figure below is a sketch of the PSD of unipolar bi-phase signaling:

Figure 2. 2: PSD of unipolar bi-phase signaling

An investigation of the PSD reveals that the first null-to-null bandwidth of a unipolar bi-

phase signal is given by:

𝑏𝑎𝑛𝑑𝑤𝑖𝑡 =2

𝑇………………………………………………………………………………… 𝐸𝑞. (2.2)

That means, the bandwidth of a unipolar bi-phase signal is twice of the bit rate.

Therefore, 10Mbps operation requires a system bandwidth of 20 MHz. Therefore, this

modulation technique is considered bandwidth wasteful, where the bandwidth efficiency is 0.5

bit per second/hertz.

It should be noted that the impulses located at 𝑛 𝑇 , for |n|=1,3,5…could be used in

conjunction with a Phase-Locked Loop (PLL) to recover the data clock, and therefore could be

used to synchronize the transmitter and the receiver on the bit level[2]. Nevertheless in Ethernet

technology synchronization is accomplished on the frame level by means of a special segment of

the Ethernet frame called the preamble segment.

The Bit Error Rate (BER) of bipolar bi-phase modulation is given by [4]:

𝐵𝐸𝑅 =1

2𝑒𝑟𝑓𝑐

𝑆𝑁𝑅

2 ……………… . ……………………………………………………… . 𝐸𝑞. (2.3)

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9

erfc: is the complementary error function

SNR: is the Signal to Noise power Ratio at the receiver front end.

As a measure of system performance; it is customary in FSO systems to accept a

maximum BER that ranges between 10 12 and 10 9 . According to the approximation:

1

2𝑒𝑟𝑓𝑐

𝑄

2 ≅

𝑒−

𝑄2

2

𝑄 2𝜋 ……… . …………………………………………………………………𝐸𝑞. (2.4)

For BER = 109, SNR should be equal to 36 , which is equivalent to 15.6dB[4] .

2.2 FSO Channel Modeling

A proper design of an FSO communication system requires a detailed understanding of

the channel in terms of power attenuation, frequency response, and induced noise. In this section

the channel model for IM/DD links is considered.

2.2.1 Attenuation

The free space optical link suffers from two kinds of attenuation: geometric attenuation

and atmospheric attenuation.

1: Geometric attenuation: This attenuation is due to the geometric arrangement of the

transmitter and receiver along with the optical beam model. In FSO systems which use LEDs as

beam sources; the lambertian distribution is used to model the beam profile of the LED, that is:

the power intensity distribution of the beam follows the lambertian cosine law which is given

by[5]:

𝐼(𝑅, 𝜃) =𝑚 + 1

2𝜋𝑅2𝑃𝑡𝑜𝑡𝑎𝑙 (cos𝜃)m

𝑊

𝑚2 . ……………………………………… . . …… . 𝐸𝑞. (2.5)

𝐼(𝑅, 𝜃): the power intensity measured at a distance R and angle 𝜃

𝑃𝑡𝑜𝑡𝑎𝑙 : The total transmitted power

R: The distance at which the intensity is being measured

𝜃: The angle between the emitter‟s normal and the point of measurement .

m : is the mode number of the radiation lobe , and is given by :

𝑚 =−𝑙𝑛2

𝑙𝑛(𝑐𝑜𝑠𝜃12

)

Page 18: Free Space Optics

10

Where 𝜃1

2

is the half power angle or divergence angle, which is the angle that creates an

illumination cone containing half the transmitted power . 𝜃1

2

is usually given by the manufacturer

datasheet .

On the transmitter side, the beam source – i.e the LED – transmits an optical beam with a

certain initial divergence. As the beam propagates through the atmosphere; diffraction takes

place, and the beam suffers from further divergence. Divergence is a measure of how fast the

beam expands as it travels away from the emitting source. This phenomenon is caused by

diffraction, which is the change of the beam direction of propagation, or pattern due to variations

in the medium and/or interference between different beam components. The beam divergence

causes the power intensity of the beam to be decreased away from the axial center of the beam as

it travels through the atmosphere, thus a portion of the optical power would be lost if the receiver

apparatus wasn‟t able to „collect‟ the beam properly. The receiver apparatus is a collecting

biconvex lens, whose foci is centered on the photo detector.

The effect of the geometric attenuation for a given range can be reduced by decreasing

the beam divergence. Hence collimation is needed. Collimation is defined as the process of

decreasing the divergence angle of the transmitted beam by means of a collimating lens or a

beam expander. The divergence of a lambertian optical transmitter – such as an LED – can be

decreased by employing a collimating lens, namely, a biconvex lens. The divergence angle due

to the lens is expressed by [3]:

∅ = 𝜃12

𝐸

𝐿…………………………………………………………………………………… . 𝐸𝑞. (2.5)

∅ : is the divergence angle due to the collimating lens

𝜃1

2

: is the divergence angle of the LED

E: is the LED diameter of emission

L: is the diameter of the collimating biconvex lens

It should be noted that the LED should be placed in the foci of the lens to achieve

maximum collimation. The figure in the next page illustrates the concept of collimation by

means of a biconvex lens.

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Figure 2. 3:Divergence reduction using collimating lens

The narrow beam attribute is important for security considerations, where intercepting the

beam is practically a very difficult task, which maintains the credibility of the system.

In this project, a LED transmitter is used. Therefore, for an optical beam generated by a

LED, assuming a lambertian emission pattern, and low divergence angle, and a perfect

alignment, an analytic treatment of geometric attenuation results in the following approximate

formula [4].

𝐴𝑔𝑒𝑜𝑚𝑒𝑡 𝑟𝑖𝑐 =𝑃𝑅𝑥

𝑃𝑇𝑥=

𝑟𝑅𝑥

𝑟𝑇𝑥 + 𝑅 tan ∅

2

…………………………………………………𝐸𝑞. (2.6)

𝐴𝑔𝑒𝑜𝑚𝑒𝑡𝑟𝑖𝑐 : is the geometric attenuation

𝑃𝑅𝑥 , 𝑃𝑇𝑥 : are the received and transmitted powers respectively

𝑟𝑅𝑥 , 𝑟𝑇𝑥 : are the receiver and transmitter apparatus radii respectively

𝑅 : is the link spatial distance

∅ : is the divergence angle of the transmitted beam after collimation.

The figure below illustrates the concept of geometric attenuation.

Figure 2. 4: Geometric attenuation

It should be noted that the relation above is valid for a beam propagating in a clear line of

sight. To ensure the validation of this assumption; there should be a clear line of sight with a

minimum radius of the Fresnel zone plus the beam diameter at the transmitter[17]:

𝑟𝑐𝑙𝑒𝑎𝑟 𝑙𝑖𝑛𝑒 𝑜𝑓 𝑠𝑖𝑔𝑡 = 𝑅𝜆

4+ 𝑟𝑅𝑥 ……………………………………………………………𝐸𝑞. (2.7)

Where 𝜆 is the wavelength of the transmitted beam.

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Close to geometric attenuation are the misalignment losses. There are two types of

alignment to be considered: lateral alignment, and angular alignment. Lateral alignment occurs

when the axial line of the illumination cone generated by the transmitter is parallel to that of the

Field Of View (FOV) of the receiver, while angular alignment occurs when there is no angular

displacement of both the transmitter and the receiver from the system‟s Line Of Sight (LOS). If

the transmitter and the receiver are allowed to rotate freely while fixed at the center of rotation;

angular alignment ensures the occurrence of lateral alignment. Ergo, attention should be drawn

to angular alignment alone. The figure below illustrates the concept of angular alignment.

Figure 2. 5: Angular alignment

A small angular displacement of the transmitter would result in a relatively large spatial

displacement of the illumination cone at large distances. This displacement will result in a

complete drop of the link if the photo-detector ceases to view the illumination cone. Power loss

will occur if the photo-detector views a portion of the illumination cone.

For an exact treatment of the problem in hand; Eq.(2.6) is not sufficient, as it doesn‟t take

into account angular displacement of the transmitter and the receiver from the line of sight. To

include the effect of angular displacement another relation is needed. According to [18] and

others references, the exact relation that relates the transmitted and received powers to spatial

and angular coordinates is given by:

𝐴𝑔𝑒𝑜𝑚𝑒𝑡𝑟𝑖𝑐 =𝑃𝑅𝑥

𝑃𝑇𝑥=

𝑚 + 1

2𝑅2 𝑐𝑜𝑠𝜙 𝑚 𝑟𝑅𝑥

2 𝑔 𝜓 cos 𝜓 …………………………………𝐸𝑞. (2.8)

0 ≤ 𝜓 ≤ 𝜓𝐶

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Where:

𝐴𝑔𝑒𝑜𝑚𝑒𝑡𝑟𝑖𝑐 : is the geometric attenuation

𝑃𝑅𝑥 , 𝑃𝑇𝑥 : are the received and transmitted powers respectively

𝑟𝑅𝑥 : is the receiver apparatus radius

𝑅 : is the link spatial distance

𝜙 : is the divergence angle of the transmitted beam after collimation.

𝜓 : is the angular displacement angle of the receiver from the axis of the transmitted beam.

g ψ : is the receiving lens concentration gain, and is a function of the radii of the photo

detector and the receiving lens , and 𝜓. It attains maximum value when 𝜓 = 0.

𝜓𝐶 : is the angle of view of the receiver.

It‟s obvious from the last relation that if the angular displacement angle 𝜓 exceeds the

angle of view of the receiver ( 𝜓𝐶) there will be a complete drop of the link, as the receiver

ceases to view the illumination cone of the transmitter. Another result - a rather trivial one- of the

latter relation is that the smaller the displacement angle, the smaller the attenuation gets.

2: Atmospheric attenuation

As the beam propagates through the atmosphere, it suffers from several atmospheric

effects that tend to attenuate the transmitted power. Scattering, absorption and scintillation are

the most influential among these effects.

The effect of scattering and absorption is governed by „Beer-Lambert law‟ for gases [5]:

])(exp[)0,(

),(),( R

P

RPR

……………………………………………………... Eq. (2.12)

),( r : is the atmospheric attenuation factor due to scattering and absorption.

)0,(P : is emitted power

),( RP : is power at a distance R from the transmitter

)( : is atmospheric attenuation (extinction) coefficient

The Krsue relation expresses the extinction coefficient as follows:

q

nm

nm

V

)550

(912.3

)(

dB/Km…………………………………………………………………………….Eq. (2.13)

V: is the visibility in Km

nm : is the beam‟s wavelength in nanometer.

Q: empirical coefficient that is given in the following table:

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Q Visibility (V)

1.6 V>50Km

1.3 6Km<V<50Km

0.16V+0.34 1Km<V<6Km

V-0.5 0.5Km<V<1Km

0 V<0.5Km

Table 2. 1: The q coefficient versus visibility

Visibility is defined as the length of path in the atmosphere required to reduce the power

in a collimated beam from an incandescent lamp at a color temperature of 2700K to 0.05 of its

original value. Visibility is usually measured at airports, and weather forecast stations.

Scintillation attenuation can also be of significant contribution in a turbulent weather.

Scintillation can be defined as the spatial and temporal dependence of power intensity due to

thermal fluctuations in the index of refraction along the transmission path. These changes cause

the atmosphere to act as filled with small lenses deflecting portions of the beam. The behavior of

scintillation is of a statistical nature. The attenuation due to scintillation in dB for a plane wave

can be expressed as follows [5]:

6

11

26

7

217.232 RCnx

…………………………………………………………... Eq.(2.14)

𝐶𝑛2: is turbulence intensity, and assumes a value in the order of 10−14for weak disturbance.

R: is the distance at which scintillation is measured.

It is obvious that the atmospheric attenuation due scattering and scintillation can be

reduced if longer wavelengths are used. Therefore IR beams are preferred to be used in FSO

systems. In this project, we are using a near IR beam emitter, with a wavelength of 875jnm.

The attenuation due to rain is given by:

𝐴𝑟𝑎𝑖𝑛 =1.076𝑅0.67𝑑𝐵

𝐾𝑚…………………… . . …………………………………………… . 𝐸𝑞. 2.15

The attenuation due to snow is given by:

𝐴𝑠𝑛𝑜𝑤 = 𝑎𝑆𝑏𝑑𝐵/𝐾𝑚……………………………………………………………………𝐸𝑞. 2.16

S: is the snow fall rate (mm/hour)

a= 3.7855466+ 10.23x10-5𝜆𝑛𝑚

, b=0.72 for wet snow

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a=5.49588776+5.42x10-5𝜆𝑛𝑚

, b=1.38 for dry snow

Other losses not accounted for include losses in the apparatus lenses. For instance ZnSe

lenses have losses not higher than 3%.

2.2.2 Frequency Response

For optical communication systems in general, the only phenomena that causes the signal

to possess a frequency dependent behavior is dispersion. Dispersion is defined as the phase or

group speed dependence on frequency. Dispersion causes pulse spreading, and Inter Symbol

Interference (ISI). In normal conditions, the atmosphere isn‟t considered to be a dispersive

medium, thus acting as an ideal filter, and doesn‟t impose ISI on the transmitted optical signal.

2.2.3 Induced Noise

In FSO systems, two types of induced noise should be accounted for: background noise

and receiver end electrical noise. The background noise is due to the ambient irradiance, which is

dominated by the sunlight at daytime. The ambient illumination of the sunlight generates an

additional current in the photo detector, and creates an Additive White Gaussian Noise (AWGN).

The radiation power generated by the sunlight is given by [1]:

Psun = FλARx Δλ……………………………………………………………………………… . Eq. 2.18

Fλ : is the sunlight irradiance spectral density at earth surface level at a wavelength

ARx : is the receiver‟s effective area

Δλ ∶is the receiver‟s optical bandwidth

Apparently, this type of noise can be reduced by decreasing the optical bandwidth of the

receiver by employing an optical bandpass filter. The photodiode used in this project has one

with optical bandwidth of 300nm.

The noise induced by the receiver front end consists of two parts: shot noise, and thermal

noise. Shot noise is due to the random movement of the carriers in the photodiode, and thermal

noise is due to the thermal energy of electrons in feedback resistors of the photodiode amplifier.

The equivalent Root Mean Square (RMS) of shot and thermal noise current is given by:

𝐼𝑒𝑙𝑒𝑐𝑡𝑟𝑖𝑐𝑎𝑙 −𝑛𝑜𝑖𝑠𝑒2 = 2𝑒 𝐼𝑝𝑜𝑡𝑜 + 𝐼𝐷 𝐵 +

4𝑘𝑇𝐵

𝑅+ 𝐼𝐴𝑚𝑝

2 𝐴2 ………………………… . 𝐸𝑞. (2.19)

e: is the elementary (electron) charge = 1.6x10-19

C

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𝐼𝑝𝑜𝑡𝑜 : is the amplitude of the photocurrent generated due to the received signal.

𝐼𝐷 : The dark current of the photodiode (to be discussed in chapter 4)

B: The system‟s electrical bandwidth.

K: Boltzmann constant = 1.38x10-23

J/K

T: the systems equivalent temperature in Kelvin, usually taken as the room temperature

R: the feedback equivalent resistance used in the amplifier.

𝐼𝐴𝑚𝑝 : The amplifier noise current.

After considering all types of noise, SNR of unipolar bi-phase IM is given by:

𝑆𝑁𝑅 =𝐼𝑝𝑜𝑡𝑜

2

𝐼𝑒𝑙𝑒𝑐𝑡𝑟𝑖𝑐𝑎𝑙 −𝑛𝑜𝑖𝑠𝑒2 + 2𝑒𝐵𝑟Psun

…………………………………………………… . 𝐸𝑞. (2.20)

Where (r) is the responsivity of the photodiode in A/W (to be discussed in chapter 4).

It is obvious from the last relation that the SNR can be increased by increasing the

photocurrent, and limiting the receiver‟s electrical bandwidth. The photocurrent can be increased

either by increasing the received power, or using a photodiode with higher responsivity.

Responsivity of the photodiode is proportional to its area, therefore it is appropriate to use wide

area photodiodes in FSO systems. It‟s customary to limit the electrical bandwidth of the receiver

to a range of 70% to 100% of the received signal bandwidth.

2.2.4 Link Budget Equation

The link budget equation is used to predict how much margin, or extra power is available

in a link under a set of conditions. The more margin the link possesses, the less the probability of

drop. Therefore, the link budget equation helps with predicting the availability of the system, in

terms of downtime as a Key Performance Indicator (KPI). The link budget equation helps design

the transmitter in terms of transmitted power, and the receiver in terms of sensitivity. Sensitivity

is defined as the minimum detectable power at the receiver end needed for a reliable

communication, that is it‟s the minimum power required to provide an SNR value acceptable for

a reliable communication . The link budget equation is given by:

𝑀𝑙𝑖𝑛𝑘 𝑑𝐵 = 𝑃𝑇𝑥 𝑑𝐵𝑚 − 𝑆𝑅𝑥 𝑑𝐵𝑚 + 𝐴𝑔𝑒𝑜𝑚𝑒𝑡𝑟𝑖𝑐 + 𝐴𝑎𝑡𝑚𝑜𝑠 𝑝𝑒𝑟𝑖𝑐 + 𝐴𝑜𝑡𝑒𝑟 𝑑𝐵 𝐸𝑞. (2.17)

)(dBM link : Link margin

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)(dBmPTx , )(dBmSRx : total transmitted power and receiver sensitivity respectively

)(),( dBAdBA catmospherigeometric: Geometric and atmospheric attenuations respectively

)(dBAother : Other losses, such as losses due to imperfect lenses.

Numerical analysis of the link budget equation is presented in Appendix A

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Chapter 3 The Optical Transmitter

The transmitter aims to produce a suitable signal for transmission; the transmitter is the

stage between the interfacing circuit from one side, and the channel from the other side, the

transmitter will take its input signal from the interfacing circuit, and it will put its output to the

channel, so the design of the transmitter will greatly depend on the output of the interfacing

circuit, and the characteristic of the channel.

The transmitter mainly consists of three parts, the first part is a conditioning and driving

circuit, the main purpose of this part is to take the data signal from the interfacing circuit and

modify it such that to provide the light source with a suitable driving signal to emit the required

optical signal, also this part should compensate for any undesirable effect or noise that may

happen for some factors like the Light Emitting Diode (LED) temperature variation or any

injected noise to the system. The second part is a light source that emits an optical signal suitable

for transmission, this optical signal is an emitted light for a certain period of time with a certain

power to represent high LOGIC level, and emits nothing to represent low LOGIC level, the

optical light source could be of two types: (1) a Light Emitting Diode (LED) which was chosen

to be the light source in this project, (2) a laser diode [5]. The third part is the lenses that are used

to direct the output of the light source properly to obtain a good distance between the transmitter

and the receiver.

In this chapter, we are going to discuss the designed transmitter and its operation,

including the light characteristics and safety issues, the transmitter main blocks, physical

implementation which will include PCB implementation, finally, practical results.

3.1 Light Characteristics

Light is considered as a part of the electromagnetic spectrum, the electromagnetic spectrum

contains a vast range of frequencies with comparable nature, and each band of frequencies has its

own name due to historical reasons, this is especially true with optics, optics include the band of

Conditioning and

Driving Circuit

Light Source

(LED or LD)

Lenses

Figure 3. 1 The Transmitter Block Diagram

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frequencies of invisible light, we are mainly interested in the IR band in the electromagnetic

spectrum, hence we use IR LED as a light source in the project.

Figure (3.2) shows the electromagnetic spectrum, as we can see, infrared wavelength lies

between (80nm-1mm) with a corresponding frequency range of (300 GHz-300 THz).

Figure 3. 2 The electromagnetic spectrum with respect to the wavelength with the usual names for the various frequency bands

Light characteristics is covered by Maxwell‟s equations, however the analysis process

using electromagnetic theory is quite tedious and requires a tremendous mathematical

background, the modeling of light behavior using geometrical optics is much easier and it is

more suitable for our application, thus in our discussion we always assume the geometrical

model of light, for farther analysis of light behavior using geometrical optics see reference [6].

As it was mentioned in Chapter 2; IR is most preferable to be used in FSO systems as

opposed to visible light. The use of IR beams allows for a significant reduction of the

atmospheric losses in terms of absorption and scintillation. Therefore, for this project it was

decided to use an IR LED as a transmitting source.

3.2 Eye Safety

One of the most important aspects in FSO system design is the safety of the user, and this

is also the main limitation factor in the design process, for example, if the output emitted power

is increased, we can compensate for the attenuation factors mentioned earlier in Chapter 2, this

would yield in increasing operating distance, reducing the error by increasing SNR,

unfortunately the emitted power is restricted for safety operation [5]. Infrared, visible and

ultraviolet radiation can cause damage to the human eye if the power at their respective

wavelengths is increased over a specified value. The limits to the output power for safety

operation is specified by the International Electrotechnical Commission (IEC), the IEC specifies

the Allowable Exposure Limits (AELs), these limits make sure that the output power by any

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optical source is under regulation and is safe for use and doesn‟t require warning labels, any

product that employs LEDs or LDs is subject to the IEC 6082s-X standard in the European

countries [5].

3.3 Driving and Conditioning Circuit

The main role of the driving and conditioning circuit is to provide the light source with

the suitable signal for transmission; in this case, the light source is a current-driven device whose

brightness is proportional to its forward current. Forward current can be controlled in two ways;

the first is to apply a direct voltage source connected with a series resistor along with the LED,

this produces a current which is directly proportional to the input voltage , this gives us a simple

designed circuit, on the other hand, the produced current greatly depend on the forward voltage

of the LED, and this voltage depends on other factors such as the operating temperature, so this

give us a large variation in the current for a small variation in the LED forward voltage, and also

this will produce a wasted power in the added resistor. The second method is to drive the LED

with a constant current source; this will eliminate the variation of the current due to the variation

of the LED voltage, producing a more stable output optical signal from the LED. [7]

For our particular design, the transmitter gets the input signal from the interfacing circuit,

this signal is a square wave with (-0.35 to 0.35) V peak to peak voltage level values, the key

function of the transmitter is to shape this signal without adding any noise, and with a stable

operation so that the light source (in our case the LED) will be driven with the appropriate

current to transmit the data.

3.4 Light-Emitting-Diodes

A Light Emitting Diode (LED) is a special type of diodes, in the following discussion we

will talk about LED electrical characteristics and optical characteristics.

3.4.1 LED Electrical Characteristics

In this subsection, we will discuss the LED electrical properties; this includes, the LED I-

V characteristic, LED modeling with discrete components and there explanation, the emission

energy and the temperature dependency of the LED voltage.

LED I-V Characteristics

The current-voltage characteristic of a PN junction was first introduced by Shockley, Shockley

equation is given by:

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𝐼 = 𝐼𝑠 𝑒𝑒𝑉

𝑘𝑇 − 1 ……………………………………………………………………………𝐸𝑞. (3.1)

Is: is the saturation current

e: elementary charge

k: Boltzmann constant

T: Temperature in Kelvin

Equation (3.1) shows that the current in the LED is exponentially dependant on the

forward voltage of the LED, this means that a small variation in the forward voltage will produce

a large variation in the forward current (I), also we can note from equation (3.1) that the current

increases rapidly after a certain value of threshold voltage𝑉𝑡 , it can be shown that the threshold

voltage𝑉𝑡 , can be approximated using the band gap energy 𝐸𝑔 , the band gap energy is defined as

the energy required for an electron in the last orbit to get to the conduction orbit and be out of the

nucleus attraction range, the threshold voltage is given by equation (3.2) [8]:

𝑉𝑡 ≅𝐸𝑔

𝑒…………………………………………………………………………………… . 𝐸𝑞. (3.2)

The band gap energy depends on the material used to construct the PN junction, we can

find the threshold voltage using equation (3.2). Figure (3.3) shows the I-V characteristic curves

for different materials along with the band gap energy.

LED Internal Resistance And Capacitance

LEDs have internal resistance due to the n-type and p-type regions, even though the I-V

characteristics is exponential; this resistance is only a model for the relationship for our

Figure 3. 3 Characteristics curves for different types of material along with a set of gap energy

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application, we can assume a linear relationship between the current and voltage after the knee

voltage (threshold voltage), this resistance includes the effect of any metallic contact attached to

the LED and any imperfection in the junction, usually this internal resistance is given in the

datasheet of the LED manufacturer, otherwise we can find its value using experimental

approach .

The LED has also an internal capacitance, when the LED is reversed biased, the depletion

region is empty of any charges and acts as an insulator, while the p-type and the n-type of both

sides of junction act as plate with different charges, this effect can be assumed as a parallel plate

capacitor, usually LED manufacturer tend to specify the value of this capacitance.

Another type of capacitance is the junction capacitance, when the LED is forward biased,

the carrier tend to diffuse across the junction, these carriers take time before recombination and

this induced charges to be stored at different energy bands near the junction, this simulates a

capacitance effect which is called junction capacitance [9].

Emission Energy

Energy is produced when electrons and holes recombine in the PN junction; they produce

a photon with energy equals to the band gap energy given by [8]:

𝐸𝑔 = 𝑣…………………………………………………………………………………… . 𝐸𝑞. (3.3)

h: planck constant

v: photon frequency

Temperature Dependence On LED Voltage

The I-V characteristics of LED are given by Shockley equation previously introduced:

𝐼 = 𝐼𝑠𝑋 𝑒𝑒𝑉𝑘𝑇 − 1 …………………………………………………………………………𝐸𝑞. (3.4)

We can approximate the voltage dependency on temperature by:

𝑉𝑡 ≈𝐸𝑔

𝑒………………………………………………………………………………… . …𝐸𝑞. (3.5)

The band gap energy depends on the temperature, as the temperature increases, the band

gap energy decreases, the following formula describe the relationship between 𝐸𝑔 𝑎𝑛𝑑 𝑇

𝐸𝑔 = 𝐸𝑔|𝑇=0 − 𝛼𝑇2

𝑇+𝛽…………………………………………………………………… . . . 𝐸𝑞. (3.6)

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α, β are constants

T: Temperature

The following figure shows curves for 𝐸𝑔 for different materials, the voltage depends on

temperature comes directly from the band gap energy temperature dependence.

3.4.2 LED Optical Characteristics

In this subsection, we will discuss the LED optical characteristics; this includes optical

rise and fall time definitions

Optical Rise And Fall Times

LEDs are non-linear devices, their internal resistance and the internal junction

capacitance is greatly depend on the forward voltage of the LED, in studying the rise and fall

times of an LED, these non-linearity behaviors should be accounted for, however, a simplified

analysis could be obtained if we consider the LED as a linear device, in the following analysis,

we assume a linear device behavior of an LED.

There is a good analogy between the definition of an LED optical rise time and fall time

and an RC circuit behavior [8]; we recall that the definition of a rise time is the time required for

the step response of a system to rise from 10% to 90% of its final value, and we define the

optical rise time as the time required for the optical power of an LED to rise from 10% to 90% of

its final value.

Figure 3. 4 Band gap energy dependency on temperature for various materials

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Recall that for an RC circuit, the voltage output in the rising mode is given by:

𝑉𝑜𝑢𝑡 𝑡 = 𝑉0 1 − 𝑒𝑥𝑝 −𝑡

𝜏1 ………………………………………………… . ………𝐸𝑞. (3.7)

And the output voltage in the decaying mode is given by:

𝑉𝑜𝑢𝑡 𝑡 = 𝑉0𝑒𝑥𝑝 −𝑡

𝜏2 ………………………………………………………………… . 𝐸𝑞. (3.8)

Where the 𝑉𝑜 is the final value and 𝜏1 = 𝜏2 = 𝑅𝐶 (time constants).

Now we can find the rise time (𝜏𝑟) and fall time (𝜏𝑓) using the defined time constant above:

𝜏𝑟 = 2.2 𝜏1 𝑎𝑛𝑑 𝜏𝑓 = 2.2 𝜏2 ………………………………………………… . . …… . . 𝐸𝑞. (3.9)

The voltage transfer function 𝐻(𝜔) is given by

𝐻 𝜔 = (1 + 𝑖𝜔 𝜏)−1 ……………………………………………………………… . . 𝐸𝑞. (3.10)

Where 𝐻 𝜔 is the frequency response of the system.

The bandwidth of a system, 𝛥𝑓 correspond to the frequency at which the power transmitted

through the system is reduced to half of its low-frequency value. This condition can be written

as:

|𝐻 𝜔 |2 =1

2…………………………………………………………………………… . 𝐸𝑞. (3.11)

𝛥𝑓 = 𝑓3𝑑𝐵 = 1

2𝜋𝜏≈

0.70

(𝜏𝑟+𝜏𝑓 )………………………………………………………… . . . 𝐸𝑞. (3.12)

Now enough with the RC circuit, let‟s turn our attention to LEDs, assume the LED rise time is𝜏𝑟 .

As a step-function input current is applied to the LED, the optical output power increases

according to

𝑝𝑜𝑢𝑡 = 𝑝0 1 − exp −𝑡

𝜏 …………………………………………… . . ………… . . … . 𝐸𝑞. (3.13)

Where 𝜏 is time constant, note this equation is based on the analogy between the RC circuit and

the LED operation as a linear device, particularly this equation is an analogy with equation (3.8).

Also in analogy to equation (3.10), the power transfer function is given by:

𝐻𝐿𝐸𝐷2 𝜔 = 1 + 𝑖𝜔𝜏 −1 …………………………………………………………… . . 𝐸𝑞. (3.14)

The absolute value of the power transfer function is reduced to half at the 3 dB frequency of the

LED. Thus the 3 dB frequency of an LED is given by

𝛥𝑓 = 𝑓3𝑑𝐵 ≈1.2

(𝜏𝑟 +𝜏𝑓 )………………………………………………………………… . …𝐸𝑞. (3.15)

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25

Even though these equations are delivered assuming a linear device and with an analogy to the

RC circuit, still they give a good perspective for the main concept and terminology of the optical

rise and fall times, the following figure shows the analogy between the RC circuit and the linear

LED device [8].

In practice, the rise and fall time are measured experimentally, operating the LED with a

pulsating current input, and having a faster photodiode to capture the LED output power and

convert it into output current, we can approximate the rise and fall time of the LED from this

output current [8].

3.5 The Designed Transmitter

In this section, we are going to talk about the Transmitter design, simulation of the

design, practical verification and results for the transmitter, PCB design and physical

implementation.

3.5.1 Transmitter operation and simulation

As mentioned earlier in this chapter, the transmitter gets the input signal from the

interfacing circuit which is a Manchester coded signal, Figure 3.6 shows the designed

transmitter, the input signal used for simulation is a square wave (-0.35 to 0.35) V, 10Mbps, as

shown in Figure 3.6, Stage 1 in an inverting amplifier, with a gain of (10),

Figure 3. 5 THIS FIGURE SHOWS THE DEFINITION OF THE RISE TIME AND THE FALL TIME OF AN LED WITH AN ANALOGY TO THE

RC CIRCUIT……. [8]

Page 34: Free Space Optics

26

R1

1k

R2

10k

R3909

R4

75

0

0

0

V1

TD = 0

TF = 1nsPW = 50nsPER = 100ns

V1 = -0.35

TR = 1ns

V2 = 0.35

C7

10n

R23

10k

VCC

1 2

3 4

5 6

9 8

11 10

13 12

1 2

3 4

5 6

9 8

11 10

13 12

1 2

3 4

5 6

9 8

0

VCC

5

11 10

13 12

0

VEE

-5

VCC VEE

0

VCC

VEE

C1

10n

C2

10n

0

0

+C510uF

STAGE 1

+ C6

10uF

STAGE 4

STAGE 3

+3

-2

V+7

V-

4

OUT6

VSTAGE 2Dbreak

D1

R22

10

Stage 1 in an inverting amplifier, with a gain of (10), this will amplify the input signal in order to

use it to drive the LED, the output of Stage 1will be fed to Stage 2, which will work as a DC

level shifter, the Capacitor will work to raise the signal to minimize the negative values as shown

in Figure 3.7 as shown in the blue waveform, the resister next to the capacitor is a pull up

resister, which makes sure that no unidentified logic level will be fed to the inverters, finally the

output of the inverters is proportional to the input signal, which will drive the LED to produce

the suitable intensity for communication.

3.5.2 PCB manufacturing and implementation

In this subsection, we provide a summary for the PCB layout used to implement the

designed transmitter, in general we used chemical approach to manufacture the PCBs, using a

combination of HCL solution with a 33% concentration of an H2O2 solution with a

concentration of 3% and double the amount of the HCL solution, we were able to find a way to

etch the Copper layer of the PCB and leaving the desired traces, OrCAD Layout Plus was used

as the Layout program Figure 3.8 shows the Top layer of the transmitter, Figure 3.9 shows the

bottom layer.

Figure 3. 6 The Designed Optical Transmitter

Page 35: Free Space Optics

27

Time

0s 50ns 100ns 150ns 200ns 250ns 300ns

V(R4:2)

-400mV

0V

400mV

-350.000mV

350.000mV

V(U31:OUT)

-4.0V

0V

4.0V

SEL>>

-2.7802V

3.4665V

V(U26A:A)

0V

2.5V

5.0V

-523.643mV

5.4046V

V(U27F:Y)

0V

2.5V

5.0V

466.576uV

4.7496V

I(D1)

-200mA

0A

200mA

400mA

345.819mA

-156.338nA

Figure 3. 7 simulation results of the optical transmitter for different stages, the first waveform from above is the current fed to the LED, the second waveform from

above is the output voltage of the inverters, the third waveform from above is the input to the inverters, the fourth waveform from above is the output of the amplifier,

finally, the last waveform is the input waveform

Page 36: Free Space Optics

28

Figure 3. 8 the Top layer of the Transmitter

Figure 3. 9 The Bottom layer of the Transmitter

3.5.3 Practical Results

In this subsection, we are going to state the result of the transmitter, these results guarantee a

healthy operating transmitter that is able to transmit a 10Mbps without adding any distortion

optically, the following set of pictures shows practical results of the transmitter, Figure 3.10

shows the input signal of the transmitter 10Mbps, this signal will be passed to the LED after

certain amplification and modification, then transmitted optically to the other end the optical

receivers.

Page 37: Free Space Optics

29

In this chapter, we managed to design, understand and implement an optical transmitter which is

able to transmit a 10Mbps signal optically without changing and affecting the transmitted data.

Figure 3. 10 The figure shows a 10Mbps transmitted signal and the received signal, they are almost identical

Page 38: Free Space Optics

30

Chapter 4 The Optical Receiver

4.1: Introduction

A receiver should be able to detect any incoming optical signal and transform it into

digital meaningful electrical signal. The initial detection of the signal is done by a Photo Detector

(PD), the PD output signal shall be modified using a conditioning circuit to give us the required

digital signal shape for the interfacing circuit to understand. Figure 4.1 shows the block diagram

of typical Rx; we will go through each block in details in the coming sections.

Figure 4. 1: Receiver (Rx) block diagram

PDs are capable of supplying current (instead of voltage) that is proportional to the

received optical power, so our first task is to transform this current into voltage by means of

Transimpedance Amplifier (TIA), this voltage is reshaped and boosted by means of Post

Amplifier (PA) and Limiting Amplifier (LA), now the signal being ready is transferred to the

interface circuit.

Our system shall be able to discrete signals from noise and maintain constant logic levels

at its output whatever was the detected signal level.

4.2 Photodiodes

4.2.1 Introduction

Photo-detectors are divided into two types, Positive-Intrinsic-Negative (P-I-N)

photodiodes, and Avalanche Photodiode (APD). Photo detector produces current that is relative

to the power intensity it receives. PDs have a detection range of signal wavelength with a peak

wavelength at which it achieves its maximum responsivity, i.e. current to power ratio.

Responsivity is proportional to the PD surface area. To be able to generate electrical current;

electrons should gain energy above the band gap energy value thus having enough energy to

become in conduction mode.

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31

4.2.2 Positive-Intrinsic-Negative (PIN) Photodiode

Earlier we stated that PDs are divided into two types, Positive-Intrinsic-Negative (PIN)

and Avalanche Photodiode (APD). PIN photodiodes are similar to regular diodes except that they

contain an additional intrinsic layer as the name suggests. The added layer results in larger

depletion region thus increasing the spectral bandwidth. The PIN response is somewhat selective,

that is: photons penetration depends on the wavelength, and only photons that release carriers

within or near depletion region do contribute in the output current. To fully benefit from the

intrinsic layer, reverse biasing is normally required, this insures that the depletion region covers

the whole intrinsic layer; this extends the electric field of the depletion region along the intrinsic

layer and more accelerated carriers are being generated. The added layer increases the transit

distance for carriers but the low doping of the layer assures most of the carrier‟s complete

transition. Figure 4.2 illustrates the layout of a PIN photodiode, and the effect of the intrinsic

layer.

Figure 4. 2: Effect of intrinsic layer on the depletion region in the PIN [10]

On general PINs have wider spectral bandwidth than APDs, while APDs have superior

performance in terms of sensitivity and response time, they are a lot more costly and need very

high reverse biasing voltages [10]. Due to price it was chosen to use a PIN as a PD for this

design.

4.2.3 PIN characteristics

The PIN PD can be modeled using a circuit similar to the one seen in Figure 4.3, where

the current source represents the current generated by the incident photons, the diode represents

Page 40: Free Space Optics

32

the PN junction, and the junction capacitance and resistance are modeled using the capacitance

Cj and resistance Rsh respectively. Rsh is ideally infinity, in practice it‟s the slope of the current-

voltage curve of the photodiode at origin, the higher the shunt resistance the better is the PD

performance. The capacitor results from the two boundaries of the depletion region which

happens to be parallel-plate like, thus the capacitance is inversely proportional to the depletion

region width and is proportional to the surface area; it is used to determine the response speed.

The series resistance Rs results from the undepleted semiconductor material, it affects the rise

time and the linearity of the photodiode.

PIN photodiodes are generally limited by two factors: the parasitic junction capacitance

Cj and the transit time. As we mentioned earlier Cj is proportional to the surface area cross

section, yet reducing the surface area will badly reduce the responsivity and hence the resultant

output current, it will reduce the spectral efficiency too. Cj is also inversely proportional to the

depletion region length (Li), but likewise increasing the Li will increase the spectral efficiency

and increase the response time. So a compromise should be taken between current (I),

capacitance (Cj), depletion length (Li), efficiency (η), response time (τ).

Figure 4. 3 PIN model Figure 4. 4 PIN Photodiode

When operating we inversely bias the PIN so that the output current is the leakage current

in the inverse region, we can notice from Figure 4.5 that leakage current will happen even

without light but that would be the normal break down voltage curve, also we can notice that the

higher the biasing voltage, the more the current generated.

Page 41: Free Space Optics

33

Figure 4. 5: Current-voltage characteristics

Photo detectors as any other electronic device have an output voltage fluctuation with

temperature; even though it‟s not so serious since it is only measured in mV/K, it should also be

taken care of in the design and the specifications of the system operating temperature range.

Also Photo detectors create shot noise and some other additive noise, this last one is

usually measured in noise equivalent power and it is mostly in pW. The Noises generated by PIN

are usually combined in the Noise Equivalent Power (NEP) and is given in the below equation.

𝑁𝐸𝑃 =𝑁𝑜𝑖𝑠𝑒 𝑐𝑢𝑟𝑟𝑒𝑛𝑡 (𝐴)

𝑅𝑒𝑠𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑖𝑡𝑦 (𝐴/𝑊)…………………………………………………… . … . ………𝐸𝑞. (4.1)[11]

4.2.4 Responsivity

Not all the dropping photons are collected; we define Quantum Efficiency as the ratio

between falling photons and the ones transformed to current. Typically it‟s between 0.8-0.9.

Table 4.1 shows the relation between the PIN fabrication material, its corresponding band-gap

and the responsivity at the peak response wavelength.

Material Band-gap, eV Wavelength range

(nm)

Wavelength of peak

response (nm)

Responsivity

(max) (A/W)

Si 1.17 300-1100 800 0.5

Ge 0.775 500-1800 1550 0.7

InGaAs 0.75-1.24 1000-1700 1700 1.1

Table 4. 1: Photodiodes materials and their characteristics [12]

Page 42: Free Space Optics

34

When detecting light at its peak spectrum response wavelength, the silicon PIN

photodiode will leak about 0.5μA of current for each microwatt of light striking it for 800nm Si-

PIN. This relationship is independent of the size of the detector. The PIN photodiode size should

be chosen based on the required frequency response and the desired acceptance angle with the

lens being used. Large PIN photodiodes will have slower response times than smaller devices.

For example, 1 cm X 1 cm diodes should not be used for modulation frequencies beyond 200

KHz, while 2.5 mm X 2.5 mm diodes will work beyond 50MHz. If a long range is desired, the

largest photodiode possible that will handle the modulation frequency should be used [13].

4.2.5 PIN and the datasheet

The datasheet supplies us with a set of curves that explain the operation of the PIN. The

main curves supplied by most datasheets are shown in the figures below, the data sheet of

SFH203 was used as an example. The first characteristic curve is the Spectral sensitivity curve

shown in Figure 4.6, this curve resembles how much is the detector sensitive to different

wavelengths. The narrower this curve the better, also it should have its peak value on the

frequency that we are using in the transmitter.

The second curve is the Dark current curve, Figure 4.7, which shows how much current

the detector supplies even if it is not detecting any signal (complete darkness), this current should

Figure 4. 6: Spectrum sensitivity

Figure 4. 6 Spectrum sensitivity Figure 4. 7 Dark current relative to reverse voltage

Page 43: Free Space Optics

35

be dealt with to be below any level affecting value (it would be barely recognized since it is

valued in pA). Dark current is considered to be a noise source thus affecting the SNR value.

The third curve is the capacitance curve, Figure 4.8. Earlier it was stated that the response

time is directly proportional to capacitance, from the curve we can see that the higher the inverse

voltage the less the junction capacitance hence faster response. So we prefer to operate at the

lowest possible voltage but with care so that we don‟t exceed the reverse voltage break down

limit.

The fourth curve is the directional characteristic curve, Figure 4.9, shows the

normalization of detection ratio with the beam incidence angle, it shows the trivial fact that in

incidence was 100% direct (at angle zero) we will get 100% of the power detected. The

directional characteristics vary with the package covering used. For highly directed LOS systems

we need the directivity to be as narrow as possible, while for non-LOS applications good

detection along the 180o is required.

Figure 4. 9 Responsivity ratio relative to light falling angle (Directional curve)

4.3 Receiver Stages

4.3.1 Transimpedance Amplifier

As mentioned before, PIN PDs produce a small current that needs to be transformed into

corresponding voltage levels for further processing. Transimpedance amplifier (TIA) is a circuit

Figure 4. 8 Reverse voltage vs. capacitance

Page 44: Free Space Optics

36

used to accomplish this task. The simplest form of TIA is merely a shunt resistor. A better way is

to build it using a current to voltage converter employing a low noise Operational Amplifier

(Opamp). Figure 4.10 below illustrates this configuration.

Figure 4. 10 Transimpedance Amplifier

The feedback capacitor is inserted to add a pole in the transfer function of the amplifier in

order to phase compensate the amplifier, and prevent gain peaking and oscillations introduced by

the series combination of the photodiode junction capacitance and the inductive resembling load

of the amplifier. This configuration is still prone to oscillations if the capacitor in the feedback

circuit isn‟t chosen carefully .To ensure a stable and oscillation free operation the following

relation should be satisfied:

1

2𝜋𝑅𝑓𝐶𝑓≤

𝐺𝐵𝑃

4𝜋𝑅𝑓𝐶𝑑……………………………………………………………………… . … . 𝐸𝑞. (4.2)

GBP: OpAmp Gain Bandwidth Product.

RF is the feedback resistor.

CF is the feedback capacitor.

CD is the shunt capacitance contributions from the photodiode and OpAmp .

After phase compensating the amplifier, the transimpedance gain of the TIA is:

𝑉𝑜

𝐼𝑝𝑜𝑡𝑜=

𝑅𝑓

1 + 𝑗2𝜋𝐹𝑅𝑓𝐶𝑓…… . . …………………………………………………… . ……………𝐸𝑞. (4.3)

Gain is an important factor of the TIA, high gain ensures the amplification of the small

photocurrent (Iphoto) to the voltage levels needed. Therefore, gain determines the sensitivity of the

receiver. In addition, the resistance used to set the transimpedance gain should be large enough

Page 45: Free Space Optics

37

to reduce the thermal noise discussed in chapter 2. By setting the gain impedance we can set the

expected output voltage levels and noise reduction ratio according to the following equation.

𝑅𝐹 =𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑜𝑢𝑡𝑝𝑢𝑡 𝑛𝑜𝑖𝑠𝑒 𝑙𝑒𝑣𝑒𝑙 𝑉 𝐻𝑧

𝐼𝑛𝑝𝑢𝑡 𝑛𝑜𝑖𝑠𝑒 𝐴 𝐻𝑧 …………………………………………… . 𝐸𝑞. (4.4)

It is obvious from equation (4.3) that the TIA has a Low Pass Filter (LPF) characteristic

with a cutoff frequency that is inversely proportional to the gain impedance Rf, therefore

compromise between bandwidth and sensitivity takes place. A TIA should have minimized

bandwidth to reduce the integrated noise, but limiting the bandwidth very much will introduce

ISI. It‟s a usual practice to set TIA 3-dB bandwidth to 70% of the detected signal bandwidth; this

will drop the noise by a factor of 0.7 = 0.84 (1.55dB). For our particular design, with a signal

of a bandwidth of 20MHz, the bandwidth of the TIA should be between 14MHz and 20MHz. But

this will decrease the sensitivity of the receiver significantly, and increase the thermal noise.

Therefore, it was decided to maintain the TIA at a low cutoff frequency around 0.5MHz or less,

and cascade it with a post amplifier with a High Pass Filter (HPF) characteristic which will

compensate for the limited bandwidth of the TIA, and produce a Band Pass Filter (BPF)

characteristic, and amplify the signal further more.

The TIA must also be tolerant to overloading. High received power at the photo detector

such as a shot pulse due to the channel nature will cause high photocurrent, and thus high voltage

at the TIA output, a more severe result may occur in the feedback circuit where poor output

behavior happens due to driving the circuit into saturation. Overloading and current variations

are usually compensated by integrating an Automatic Gain Control (AGC) but its design is

complicated and beyond the scope of this project [15].

4.3.2 Post Amplifier

Post Amplifiers (PA) are generally used after the TIAs for the purpose of increasing the

gain, another purpose for the PA is to transform the signal into pulses, since the TIA has a LPF

characteristic, it integrates the signal thus requiring a stage to compensate for that by

differentiation in order to recover the signal. Differentiating amplifier is achieved using active

High Pass Filters (HPF). A HPF has a desired effect of adding positive phase which will

compensate for instabilities in the TIA integrator [16]. A Differential video amplifier was used,

Page 46: Free Space Optics

38

this supplies an additional feature of amplifying the signals selectively depending on their

respective frequencies, that is as we know signals get attenuated more at high frequencies and a

compensation for that is needed.

The video amplifier gain equation is:

𝐺𝑎𝑖𝑛 =1.4 × 104

𝑍 + 31…………………………………………………………………………… . . 𝐸𝑞. (4.5)

4.3.3 Limiting Amplifier

The amplitude of the signal received from the post amp is variable within the previous

stage dynamic range, yet the interface circuit needs definite signal swing that will not go beyond

the maximum logic level and form it as required. A Limiting Amplifier (LA) amplifies the signal

but clips it beyond certain limits.

LA‟s should have very high slew rate so that the rise and fall times are very small to

achieve high speed level transition.

The LA should exhibit enough high gain to maximize the SNR. LA can be designed of

multiple stages, but it is preferred to be done with the least number possible to minimize levels

noise contribution. Limiters are usually incorporated with offset cancellation to avoid saturating

the following stage [14].

The configuration used acts a current source where the current switching is controlled

using a transistor, and then voltage difference is taken around a resistor which current passes

through. The design reduces miller effect and reduces noise due to the high Common Mode

Rejection Ratio (CMRR).

4.3.4 Output Stage

To transfer the detected signal to the interface circuit with maximum power transfer, we

will need an output impedance of the receiver to be equal to the characteristic impedance of the

transmission line. To achieve the required result we set the LA output impedance to 75Ω.

4.3.5 Received Signal Strength Indicator (RSSI)

The Received Signal Strength Indicator (RSSI) is a vital part for highly directed systems

that operate at large distances; it is used to aid in the system alignment at installation. The RSSI

provides DC voltage relative to the received signal at the front end. The optical heads would be

directed for the maximum RSSI voltage output. In the new design we made use of the

Page 47: Free Space Optics

39

differential amplifier that supplies two outputs, one was used as a input for the LA, and the other

was used as an input to the RSSI circuit.

The RSSI circuit is simply a voltage doubler followed by RLC filter to assure pure DC

output signal. A voltage doubler is a circuit that inputs AC signal and outputs a DC signal with

the DC level being roughly twice the input peak signal value.

4.4 System design

4.4.1 Design Revision 0 problems

Figure 4. 11 The Receiver (Revision 0)

The receiver design in Figure 4.11 was the design used to produce the first PCB, yet, the

design even though fully functional and working in simulation, refused to work past the TIA and

the only thing visible after the Post Amplifier (PA) stage was noise. Also the dark noise was

noticed to be extremely high. Even the PCB circuitry itself turned out to have some problems

such as missing wires or faulty routing.

4.4.2 Design Revision 1

V-

V+

0

C13

100n

C14

100n

0

0

0

0

C4

13p

0

0

C3

2.2p

0

R5

100k

0

C6

2.2p

2V-

+

-

V+

V-

U1

OPA657

1

2

3

45

R4

100k

0

U2

MAX4305/MXM

+3

-2

V+7

V-

4

OUT6

R15

30

R17

1k

2V-

V

V

V

I

COAX

75

00

R13

80k

C2

270p

R6

10k

0

R12

210

U4MAX4202/MXM

in3

V+

4

V-2

OUT5

0

D1

SFH203

I1

TD = 0

TF = 1n

PW = 49n

PER = 100n

I1 = 1nA

I2 = 4.06u

TR = 1n

V6

-12

2V-

0

V+

V7

5

V-

V8

-5

00

C8

100n

V+

C9

100n

C10

100n

C11

100n

C12

100n

V-

C5

1n

V+

V-

+

-

U3

OPA699

3

27

4

6

85

R1

6k

R2

1k

0

0

R9

6k

R10

1k

R8

500

R7

5k

Page 48: Free Space Optics

40

Since the original design up to the TIA was correct it was kept as is, after that the PA was

substituted with a differential video amplifier, and to keep good amplification levels a discrete

Limiting Amplifier (LA) design with automatic gain control (AGC) was used from Twibright

Labs.

The addition of the differential amplifier allowed for the addition of a Received Signal

Strength Indicator (RSSI) that will be connected to the negative output of the differential

amplifier. Design revision 1 can be seen in Figure 4.12.

Figure 4. 12 The Receiver (Revision 1)

G2A

G2B

V- O2

I1 G1A

G1B

V+ O1

I2

U1

Dif errential amp

L2

1.5uH

1 2

R23

100k

0

D5

1N5406

L1

1H

1

2

R24

75

C22

3.3n

0

Q1Q2

R13

1k

R14

1k

R16

270

R18

75

R19

6.8k

R20

6.8k

C11

100n

C12

100n

C13

230n

0

C14

1n

R25

12

R26

22

0

0

C31

100n

0

0

0

5

-5

100u

C33

12

-12

0

0

0

R21

1k

D2

SFH203

C30

100n

C32

2.2p

R17

100k

0

C27

2.2p

+

-

V+

V-

U5

TIA

3

2

6

74

R15

100k

00

0

C15

110nC5

2.2n

C6

2.2n

0

C7

270p

C8

110n

C9

110n

C10

100n

C16

230n

C17

230n

R6

680

R7

680

R8

18

R9

18R11

6.8k

C19

2.2n

R12

6.8k

0

R22

1kD3

BAT46

D4

BAT46C20

100n C21

1n

Page 49: Free Space Optics

41

Figure 4. 13 Receiver (Revision 1) Simulation

4.4.3 The PCB

The PCB layout design is somewhat cumbersome, where the trace-to-trace distance

should be maximized, the length of each trace should be minimized, and the trace width is as

high as possible. The design shown in Figure 4.14 and Figure 4.15 is the final PCB layout that

was implemented. The bottom layer can be noticed to be ground plane; this is desirable to reduce

noise as much as possible.

Time

129.6us 129.7us 129.8us 129.9us 130.0us 130.1us 130.2us 130.3us 130.4us 130.5us 130.6us 130.7us

V(C32:2)

-4.0V

-3.8V

-3.6V

V(U1:OUTA)

3.96325V

3.96330V

3.96335V

3.96340V

SEL>>

V(R24:2)

-200uV

0V

200uV

Page 50: Free Space Optics

42

Figure 4. 14 The top layer of the receiver

Figure 4. 15 The bottom layer of the receiver

4.5 Practical results

The resulting PCB can be seen in Figure 4.16, starting from the left is the PIN, the TIA

amplifier in SOIC package, then the Video Amplifier in D14 package, and finally the LA stage,

the red cables are the power cables.

Page 51: Free Space Optics

43

Figure 4. 16 The Receiver

The Rx output can be seen in both Figure 4.17 at 1MHz and in Figure 4.18 where a signal

with various pulse lengths is sent and received correctly. In Figure 4.17 Ch1 is the Rx channel

while Ch2 is the Tx channel, the strange frequency and duty cycle is caused y the pulses

oscillations. Figure 4.18 shown clearly that any sequence of data bits can be sent and received

correctly, this figure can consider as data-sending simulation, the correct reception of the signal

assures that the system works correctly and that it can detect whatever signal however its shape

is, provided it is within the 10Mbps data range.

Page 52: Free Space Optics

44

Figure 4. 17 Rx and Tx signals at 1MHz

Figure 4. 18 Rx and Tx signals at various signal shape

Page 53: Free Space Optics

45

Chapter 5 The Interfacing Circuit

The interfacing circuit serves the purpose of mediating between an Ethernet interface-

such as a computer‟s Network Interface Card (NIC) - and the optical transceivers. The

interfacing circuit can be thought of as an encoder and a decoder, where it encodes some special

Ethernet signals fed by an Ethernet interface for the sake of an appropriate optical transmission,

and decodes a special received signal at the optical receiver for the sake of appropriate data

retrieval. The figure below illustrates this configuration

Figure5. 1 The interfacing circuit

A proper understanding of the interfacing circuit requires a brief description of the

Ethernet signaling.

5.1 Ethernet Signaling

The 10Mbps Ethernet links over copper twisted pairs are termed 10Base-T Ethernet. In

10Base-T networks, data is transmitted in discrete frames, each of a length that varies between

64 up to 1518 bytes. The data in 10Base-T links is encoded with Manchester line encoding, with

a minimum -350mV as low level, and 350mV as high. 10Base-T Ethernet physical interfaces

have 8 pins, two for transmission, two for reception, and 4 reserved for other applications.

Synchronization between the transmitter and the receiver of an Ethernet link is accomplished by

means of a segment in the Ethernet frame called the preamble. The preamble segment consists of

7 Bytes, each having the following sequence 10101010. When an Ethernet interface is in idle

mode, i.e doesn‟t transmit data, it generates a special type of pulses called Normal Link Pulses

(NLP). They serve the purpose of maintaining link integrity by informing the next Ethernet node

in the network that an Ethernet interface is still connected, but is in idle mode. NLPs are unipolar

positive only pulses with duration of 100 nanosecond generated periodically at intervals of 16

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milliseconds. The figures below illustrate the form of the Ethernet frame, and the signaling

scheme of the 10Base-T Ethernet .

Figure5. 2 10Base-T Ethernet frame

Figure5. 3 10Base-T Ethernet signaling

5.2 Interfacing Ethernet to optical transceivers

The interfacing circuit can be divided into two main parts: (a) a part that interfaces with

the transmitter (b) a part that interfaces with the receiver.

The transmitter interface accepts Ethernet Manchester encoded frames through the

transmitting pins of the Ethernet interface, by means of a Shielded Twisted Pair (STP) and

replaces the link integrity pulses with a 1 MHz square wave and passes the Ethernet frames to

the optical transmitter via a coaxial cable after eliminating the silence periods between the

frames. The receiver interface accepts the electrical signal generated by the optical receiver via a

coaxial cable, and replaces the 1 MHz square wave with locally generated NLPs, then

multiplexes the received Ethernet frame with the locally generated NLP, and passes the resultant

signal via an STP to the receiving pins of the Ethernet interface.

The NLP pulses are replaced with a 1 MHz square wave because the optical transmitter is

not designed to accept unipolar positive-only pulses, such as the NLPs. It is designed to accept

bipolar pulses, such as Manchester encoded bits. In addition to that, the NLPs are separated with

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16 millisecond intervals, which is a quite a long period of silence, in which the average optical

power of the LED in the transmitter would decrease significantly if the NLPs were to be passed

to the transmitter, thus causing the LED to appear to flicker.

At the receiver end, transmitting NLPs would ruin the DC level of the signal due to the

relatively long periods of silence, which in turn would cause the receiver to take few

microseconds to retain the steady state level, and detect the Ethernet frame pulses after the idle

mode period has ended. This would increase the BER due to the loss of some of the Ethernet

frame bits. The 1 MHz bipolar square wave resembles Manchester encoded data, but doesn‟t

convey actual information; it only preserves a definite DC level through the receiver stages. In

addition to that, the 1 MHz square wave keeps the SNR at almost a constant level at the receiver

front end when no actual data is being transmitted, and prevents unwanted signals from being

amplified on the expense of the transmitted data. Most importantly, if no signal was transmitted

during the silence periods, random noise would deceive the Ethernet interface at the receiver end

into interpreting it as a preamble segment of an Ethernet frame, a rather corrupted segment,

therefore the Ethernet interface wouldn‟t accept the data transmitted immediately as the false

preamble segment of the Ethernet frame is corrupted, and synchronicity is lost. This technique is

used in 10Mbps Ethernet over fiber links (10Base-FL) in compliance with the IEEE 802.3

standards.

Although Media Converters (MC) are commercially available in an integrated form , it

was decided to adopt a discrete design based on logic gates , ripple counters , and shift register in

order to understand the functionality at low level . The chosen MC for this project was developed

by twibright labs for the RONJA project [17]. The figure in the next page illustrates the

interfacing circuit. The whole circuit is designed around two pulse extending cascade of the shift

registers (U63-65), and (U51, U52). A pulse extender is a device that extends pulse duration to a

certain level. The pulse extender (U63-65) accepts Ethernet frames fed by an Ethernet interface

through a line receiver (U62). C66 and R52 are there to replace the leading edge of a pulse into a

short impulse. The resulting impulse controls the shift registerU63 as it is connected to its master

reset which is active low, hence the inverter U52. When an Ethernet frame is transmitted the

pulse extender extends the duration of the pulses, and merges them into a low steady level at the

output. When NLP are transmitted the output of the pulse extender is a high steady level. The

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output of the pulse extender (U63-65) is used to control the multiplexer U54, U56, which is the

coaxial cable driver at the same time. When Ethernet frame is transmitted, the multiplexer passes

it to the optical transmitter, when NLP are transmitter, the multiplexer passes the 1MHz square

wave generated by the binary counter U59. On the reception side the interfacing circuit accepts

the data from the optical receiver, and a cascade of shift registers (U51, U53) which form a pulse

extender. The pulse extender determines whether an Ethernet frame or a 1MHz square wave is

being received. The ripple carry counters (U60, U61) generate local NLPs with 125ns duration,

and repeat every 16.384ms. Again, the pulse extender controls a multiplexer (U54-U56) which

passes the received Ethernet frame when being detected or the locally generated NLPs when the

1 MHz square wave is being detected.

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Chapter 6: The power supply

As illustrated previously; the optical transceivers and the interfacing circuit are externally

supplied with +12V, -12V, +5V, and -5V power rails. The interfacing circuit is supplied with

+12V, the transmitter is supplied with +5V and -5V, the receiver is supplied with -12V, +5V and

-5V. Therefore, the power supply should be able to provide these values. For this purpose a

multistage power supplied was designed. The figure below illustrates the block diagram of the

power supply.

Figure 6. 1 Block diagram of the power supply

The first stage accepts +12V from an external regulated power adapter , and a protection

circuit is inserted between the input voltage and the inverting regulator in order to filter the input

voltage, and prevent damage to the regulators in case of short circuiting or reverse current. The

protection circuit is an LC filter capable of withstanding short circuit current, and a freewheeling

diode for creating an alternative path for reverse current. The figure below illustrates the

protection circuit.

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Figure 6. 2 Protection circuit of the power supply

In the first stage a regulator splits the output into +12V and -12V using a structured

inverting regulator. The inverting regulator PTN78060A from texas instruments was chosen for

this task. The figure below illustrates the configuration of the inverting regulator circuit.

Figure 6. 3 Inverting regulator

SETR is chosen such that it sets the regulator‟s output to -12V . From the manufacturer

datasheet SETR should be set to 2K to obtain an output of -12.006 V. C1 and C2 are input

voltage filters, or input voltage decoupling capacitors. Their values are chosen such that high

frequency noise is bypassed to the ground. The capacitor bank C2 consists of three shunt ceramic

capacitors in order to reduce the Series Equivalent Resistance (SER) of the capacitors, hence

enhancing the filtration practice. C4 is inserted to reduce the output voltage ripple and noise . C3

is an output decoupling capacitor , its value should be relatively high in order to be able to reject

as much high frequency noise as possible , hence it‟s chosen to be an electrolyte capacitor with a

value of 100uF .

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This inverting regulator can withstand an output current up to 1.25A, which is

sufficiently larger than the amperage needed by the optical transceivers and the interfacing

circuit.

The second stage of the power supply consists of +12V to +5V, and -12V to -5V

regulators. For +12V to +5V regulation, LM78S05 regulator was chosen, it‟s a high current

version of the LM7805 regulator. It is connected to the +12V power rail as illustrated in the

figure below:

Figure 6. 4 High current +12V to +5V regulator

The 0.33uF capacitor is an input decoupling capacitor for high frequency noise rejection,

and the 0.1uF at the output serves the same purpose, and reduces the ripple of the output voltage.

For the -12V to -5V regulation, LM7905 was chosen. It should be noted that the negative

supply is not to provide as high current as the positive supply; therefore a conventional negative

regulator is chosen. The figure below illustrates the -12Vto -5V regulation practice.

Figure 6. 5 -12V to -5V regulator

The 0.22uF capacitor is an input decoupling capacitor for high frequency noise rejection,

and the 0.1uF at the output serves the same purpose, and reduces the ripple of the output voltage.

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The PCB design of the power supply took consideration the relatively high currents

passing through the traces .Hence the trace width was set to 40 mil, in order to be able to

withstand a temperature rise of about 10 0C . The PCB design didn‟t incorporate a ground plane,

as there is no high frequency signal in the power rails that needs to be filtered inherently, as the

decoupling capacitors are sufficient enough to filter the power signal .

The figures below show the power supply PCB . The first figure is the top layer of the

PCB , and the second figure is the bottom layer .

Figure 6. 6 The top layer of the power supply

Figure 6. 7 The bottom layer of the power supply

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Chapter 7 Conclusion and Problems

In this project we were able to design an FSO communication system employed to extend

a 10Mbps LANs for relatively wide geographical area. The design can theoretically support a

range of 1Km. The performance of the system is measured in terms of BER, which doesn‟t

exceed 10-9

. The credibility of the system is maintained due to the narrow optical beams

employed. The availability and reliability of the system is a function of the link margin, which is

kept at maximum in normal weather conditions, however, the availability condition is violated

severely due to fog. The design is reasonably priced.

The system was implemented at the hardware level. We were able to obtain all of the

components. PCB fabrication has been a problem; the material required for etching (FeCl36H2O)

is missing, instead we used an itching material made of H2O2+HCl, this chemical combination

was fairly cheap and easily available in the local market with outstanding performance. Also, the

use of double layer PCB layout introduced through hole plating in the interfacing circuit which

we couldn't replaced by any mean, so we had to order a manufactured PCB for our use. The

mechanical part of the system shall include casings for the optical transceivers, which was done,

but an installation mechanism wasn't done.

System testing was done for individual stages, the interfacing circuit was tested

successfully and we were able to transmit files successfully through them with the use of a cross

cable to simulate the operation of the optical heads. On the optical heads side, the operation of

data transmission was verified using one pair of the system (single Tx and single Rx), for the

other pair the Tx is correctly operational, but in the Rx one of the ICs broke down, thus a

complete system transmission couldn‟t be done. The faulty IC is rare and no substitute for it is

available currently in the market.

Lots of problems have been faced, starting from the unavailability of some components

which had to be ordered from overseas, then the manufacturing process where some PCB boards

were corrupted, thus some PCB boards were also ordered from overseas, then the lack of

FeCl36H2O which was impossible to order due to the insanely high price, thus delaying the

fabrication process of the PCB two months until the H2O2 substitute was discovered. Finally we

faced the noncooperation from the department in using the labs which also caused lots of delay

in our work.

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REFERENCES

1. Hranilovoc, Steve, Wireless Optical Communication systems. Springer. 2004

2. Morelos-Zaragoza, Robert, San Jose State University

http://www.engr.sjsu.edu/rmorelos/ee296Wf07/solhomework4.pdf.Cited on December the 9th

2009

3. Khumsat, P. Wattanapisit, N. Kulhavey, K , “Optical Front-Ends for Low-Cost Laser-Based

10-Mbps Free-Space Optical Transceiver” , IEEE Circuits and Systems Asia Pacific

Conference, 2006.

4. Johnson, David,”Handbook Of Optical Through The Air Communications”. Imagineering E-

zine, 2000.

5. Ramirez, Roberto. Idrus, Sevia. Ziran, Sun, “Optical Wireless Communications IR for

wireless connectivity”. CRC press. 2007

6. Olivier Bouchet, Hervé Sizun, Christian Boisrobert, Frédérique de Fornel, Pierre-Noël

Favennec. Free-Space Optics Propagation and Communication. PP. 16-17, PP.38-42.

7. Michael Day. LED-driving consideration, Texas instrument Incorporated.

8. E. Fred Schubert. Light-Emitting Diodes. CAMBRIDGE UNIVERSITY PRESS.

9. Albert Paul Malvino. Electronic Principles. Second Edition.

10. Graeme, Jerald. Photodiode amplifiers. McGraw-Hill, 1996, Pg. 2

11. A Primer on Photodiode Technology.

http://home.sandiego.edu/~ekim/photodiode/pdtech.html. Cited December the 9th

12. Professor Cantrell, Cyrus. OPTICAL DETECTORS AND RECEIVERS. Erik Jonson School

of Engineering & Computer Science, August–December 2003, Pg. 3

13. Johnson David. Handbook of optical through air communications. Pg. 44

14. Razavi, Behzad. Design of ICs for optical communications. McGraw Hill 2003, Pg. 57, 64,

123.

15. Photodiode Characteristics and Applications. OSI Optoelectronics.

http://www.osioptoelectronics.com/application-notes/AN-Photodiode-Parameters-

Characteristics.pdf Cited December the 9th 2009.

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55

16. Current-to-Voltage Amplifier. http://www.ecircuitcenter.com/Circuits/opitov/opitov.htm.

Cited December the 9th 2009

17. Kulhavy, Karel , Twibright Labs . http://ronja.twibright.com . Cited December the 9th 2009

18.John R. Barry. Wireless Infrared Communications. The Springer International Series in

Engineering and Computer Science. Vol 280 .1994 . Pg.83

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A

Appendix (A) The Link Budget

In order to determine the numerical results of the link budget equation, first we need to

determine the sensitivity of the receiver. The sensitivity is defined as the minimum received

power needed for a reliable communication. The sensitivity is determined using the SNR

equation – Eq.(2.17)-. The minimum SNR required for a BER of 10-9

is 15.6dB according to the

approximation:

1

2𝑒𝑟𝑓𝑐 𝑄 ≅

𝑒−𝑄2

𝑄 4𝜋

Therefore:

𝐼𝑝𝑜𝑡𝑜2

𝐼𝑒𝑙𝑒𝑐𝑡𝑟𝑖𝑐𝑎𝑙 −𝑛𝑜𝑖𝑠𝑒2 + 2𝑒𝐵𝑟Psun

= 36

Assuming a daytime operation, the electrical noise is very small compared to the ambient

noise due to sunlight illumination. Hence

𝐼𝑝𝑜𝑡𝑜2

2𝑒𝐵𝑟Psun≅ 36

Or

𝐼𝑝𝑜𝑡𝑜2

Psun≅ 72𝑒𝐵𝑟

Setting B=17MHz , and r=0.55 from the datasheet of the (BP10NF) PIN photodiode

𝐼𝑝𝑜𝑡𝑜2 ≅ 1.077 10−10𝑃𝑠𝑢𝑛 𝐴2

Using Eq.(2.18) to determine the solar irradiance :

𝐼𝑝𝑜𝑡𝑜2 ≅ 1.077 FλARxΔλ 10−10 𝐴2

The photodiode used in this project has an optical bandwidth of 260nm , and the

receiving lens is of 100mm diameter . Therefore :

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B

𝐼𝑝𝑜𝑡𝑜 ≅ 2.966 Fλ 10−5 𝐴

But :

𝐼𝑝𝑜𝑡𝑜 = 𝑟𝑃𝑟𝑒𝑐𝑒𝑖𝑣𝑒𝑑

𝑃𝑟𝑒𝑐𝑒𝑖𝑣𝑒𝑑 ≅ 5.39 Fλ 10−5 𝑊

The average received power = 1

2𝑃𝑟𝑒𝑐𝑒𝑖𝑣𝑒𝑑 ≅ 2.69 Fλ 10−5 𝑊

The solar irradiance spectral density Fλ assumes a maximum value of 0.9 W/(m2.nm)

when the sun disc is normally directed to the receiving lens in clear weather conditions , and

midday time . Fλ greatly depends on the orientation of the receiver with respect to the sun as in

the figure below [1]:

Figure.(A) : solar irradiance on the receiver

Assuming an orientation that prevents normal incidence of the sunlight on the receiver,

Fλ can be significantly reduced. Nevertheless, the sensitivity of the receiver is still affected by

the fluctuations of the solar irradiance. Unfortunately, calculating the actual Fλ is not a

straightforward task , and the literature lists the tables for European and north American

countries .Therefore we have to assume that Fλ assumes a value measured for a different system ,

and compensate for the differences by approximation. According to the last consideration Fλ was

found to be = 0.01 W/(m2.nm).

𝑃𝑟𝑒𝑐𝑒𝑖𝑣𝑒𝑑 = 2.69𝑢𝑊 ≡ −25.7𝑑𝐵𝑚 , which is receiver sensitivity.

The receiver was designed to be able to detect smaller values than -25.7dBm.

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C

Inserting this value in Eq.(2.11) and Eq.(2.12) , and assuming 90% transmittance of the

lenses used ,we can get the maximum distance .

𝐴𝑡𝑜𝑡𝑎𝑙 =𝑃𝑅𝑥

𝑃𝑇𝑥= 0.9

𝑟𝑅𝑥

𝑟𝑇𝑥 + 𝑅 tan 𝜃

2

])(exp[ R

The IR LED chosen for this project was chosen to transmit a maximum power of 50mW.

Assuming that the LED will transmit only 50% of its maximum radiated power 𝑃𝑇𝑥 = 25𝑚𝑊 ,

and:

2.177 10−4 = 𝑟𝑅𝑥

𝑟𝑇𝑥 + 𝑅 tan ∅

2

])(exp[ R

According to Eq.(2.5) , and by using a transmitting lens with a radius of 100mm , and

form the datasheet of the IR LED used (TSFF5210) which has an initial divergence angle of 10o

, and a virtual transmitting diameter of 3.7mm , the divergence angle due to the collimation lens

is given by :

∅ = 𝜃𝐸

𝐿= 10

3.7

100= 0.370 = 6.4 𝑚 𝑟𝑎𝑑

Assuming a visibility of 4Km , which is considered as a medium visibility range in

Palestine , the atmospheric extinction coefficient is given by Eq.(2.13):

mdBV

q

nm

nm /.10.24.6)550

(912.3

)( 4

Solving for R using MATLAB, R=1.4Km. It should be noted that the link should be

installed with a range less than the maximum range in order to insure a reasonable margin, and

compensate for effects not accounted for in the link budget equation. We have chosen a range of

1Km.

The link margin at R=1km is given by

𝑀𝑙𝑖𝑛𝑘 𝑑𝐵 = 𝑃𝑇𝑥 𝑑𝐵𝑚 − 𝑆𝑅𝑥 𝑑𝐵𝑚 + 𝐴𝑔𝑒𝑜𝑚𝑒𝑡𝑟𝑖𝑐 + 𝐴𝑎𝑡𝑚𝑜𝑠𝑝 𝑒𝑟𝑖𝑐 + 𝐴𝑜𝑡𝑒𝑟 𝑑𝐵

𝑀𝑙𝑖𝑛𝑘 𝑑𝐵 = 14.77𝑑𝐵𝑚 − −22𝑑𝐵𝑚 + −32.6𝑑𝐵 = 4.17𝑑𝐵

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D

Which means there is 2.61 times the power needed for a reliable communication at the

receiver end at a range of 1Km. Finally, it should be noted that at nighttime the margin will

increase significantly, and also shall SNR, which will reduce the BER.

The graphs below illustrate some key parameters in the link such as BER vs range ,

geometric attenuation vs range , atmospheric attenuation vs visibility , and atmospheric

attenuation vs range .

Figure A. 1 Geometric attenuation vs range

Figure A. 2 Extinction coefficient vs visibility

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E

Figure A. 3 Atmospheric attenuation vs visibility

Figure A. 4 Total attenuation vs range

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F

Figure A. 5 SNR vs range

Figure A. 6 BER vs range