Free Space Optic (FSO) Link Design

A Minor Project Report

Submitted in Partial Fulfillment of the Requirements

For the Degree of

Bachelor OF TECHNOLOGY

IN

ELECTRONICS & COMMUNICATION ENGINEERING

By Falak Shah (09bec082)

Kavish Shah (09bec083)

Under the Guidance of Prof. Dhaval Shah

Department of Electrical Engineering Electronics & Communication Engineering Program

Institute of Technology, Nirma University Ahmedabad-382481

May 2012

CERTIFICATE

This is to certify that the Minor Project Report entitled “Free Space Optic Link

Design” submitted by Falak Shah (09bec082) & Kavish Shah (09bec083) as the

partial fulfillment of the requirements for the award of the degree of Bachelor of

Technology in Electronics & Communication Engineering, Institute of Technology,

Nirma University is the record of work carried out by his/her under my supervision

and guidance. The work submitted in our opinion has reached a level required for

being accepted for the examination.

Date: 20/11/2012

Prof. Dhaval Shah

Project Guide

Prof. P.N.Tekvani

HOD (Electronics & Communication Engineering)

Nirma University, Ahmedabad

I

Acknowledgement

It gives us great pleasure in expressing thanks and profound gratitude to Prof. Dhaval Shah,

Department of Electronics & communication Engineering, Institute of Technology, Nirma University

for his valuable guidance and continual encouragement throughout the Minor project. We are heartily

thankful to him for continuous suggestion and the clarity of the concepts of the topic that helped us a

lot during the project.

We are also thankful to Prof. Yogesh Trivedi, Department of Electronics & communication

Engineering, Institute of Technology, Nirma University for his kind support in understanding the

fundamentals of wireless communication.

Lastly, we would like to thank our friends for providing us constant inspiration and support

during various aspects of the project.

FALAK SHAH

[09BEC082]

KAVISH SHAH

[09BEC083]

II

Abstract

Free Space Optics (FSO) is a communication technology uses that light propagating in free space to

transmit data between two points. The technology is useful where the physical connections by the

means of fiber optic cables are impractical due to high costs or other considerations. Free-space-

optical links can be implemented using infrared laser light or LEDs as a source and the receiver with

photodiode at the receiver end. This project aims at understanding all that is needed in order to create

a transceiver for a FSO link. Beginning with a formal definition and overview of the technology, it

goes on to explain the considerations for the transmitter and receiver. Moving ahead, the channel

models for optical communications have been explained in the final chapter. The practical design

issues for the transmitter as well as receiver have been presented along with the theoretical

explanations. Lastly, the circuit designed for function as transceiver and its working is covered.

―Beaming light through the air offers the speed of optics without the expense of fiber‖

- IEEE Spectrum August 2001

III

Index

Chapter

No.

Title Page

No.

Acknowledgement I

Abstract II

Index III

List of Figures VI

List of Tables VIII

Nomenclature VIII

1 Introduction

1.1 Definition 1

1.2 Factors behind market growth 1

1.3 A Case Study 3

1.4 Advantages of FSO 4

1.5 Limitations of FSO 5

1.6 Applications of FSO 5

1.7 A typical system model 6

1.8 Objectives Of This Project 6

2 Transmitter for Free Space Optical Communication

2.1 Block diagram and practical circuit layout of FSO

transmitter

8

2.2 Qualities of the optical source 9

2.2.1 LED v/s LASER 9

2.2.2 A novel development in light sources-

VCSEL

10

2.2.3 Frequency(wavelength) of operation 11

2.3 Modulation Schemes in Optical Wireless

Communications

11

2.3.1 On-Off Keying 11

2.3.2 RZ OOK 12

2.3.3 Manchester Encoded Signal 12

2.3.4 Pulse Position Modulation 13

2.3.5 Comparison of Modulation Schemes 13

2.3.6 Conclusion 16

IV

2.4 All about LASERs 16

2.4.1 Unique characteristics 16

2.4.2 Types of LASERs available 16

2.4.3 Working of LASER Diode 17

2.4.4 Classes of LASERs based on eye safety

and power

17

2.4.5 Selection of LASER for FSO applications 17

2.5 All about LED‘s 18

2.5.1 LED Operation and Characteristics 18

2.5.2 Types of LED‘s and lifetimes 19

2.6 Driver Circuits 19

2.6.1 LED Driver 19

2.6.2 LASER Driver Circuit 21

2.7 Practical Design Steps 22

2.7.1 PC to Transceiver Interface 22

2.7.2 Using Hyper-terminal to send a file to a

remote computer

24

2.7.3 Selection of light source 25

2.7.4 Practical Driver Design models 27

2.7.5 Power Calculation 28

3 Receiver for Free Space Optical Communication

3.1 Block Diagram for Receiver of FSO 31

3.2 Photo Detector 31

3.2.1 Requirements of photo diode 31

3.2.2 Working principle 32

3.3 Different types of photo detector 32

3.3.1 PIN photo diode 33

3.3.2 Material selection for photo detector 33

3.3.3 Avalanche photo diode (APD) 34

3.3.4 PIN Photo Diode v/s APD 35

3.4 Noise in receiver 35

3.4.1 Dark current noise 36

3.4.2 Quantum noise 36

3.4.3 Thermal noise 36

3.5 Pre-amplifier 36

3.5.1 Low impedance pre-amplifier 37

V

3.5.2 High impedance pre-amplifier 37

3.5.3 Trans-impedance pre-amplifier 38

3.5.4 Selection of pre-amplifier 38

3.6 Decision Circuitry 38

4 Channel Models

4.1 Introduction to channel parameters 39

4.1.1 Atmospheric Turbulence 39

4.1.2 Scintillation Index 40

4.2 Various Channel models 41

4.2.1 Lognormal channel model with and

without perfect CSI

41

4.2.2 Gamma-Gamma Channel model 43

4.2.3 Negative Exponential Model 45

4.2.4 K channel model 45

4.2.5 I-K Channel model 47

4.3 Comparison of Channel Models 49

5 FSO Link Design

5.1 Objectives of the Project 50

5.2 Design specifications 50

5.3 Circuit description 51

5.4 Scope 53

5.5 Result of the project 53

Conclusion 54

References 55

VI

LIST OF FIGURES

Fig. No.

Title Page

No.

1.1 10-Gbps FSO link, deployed by MRV Communications' Tele-Scope 1

1.2 Last-Mile Connectivity 3

1.3 Terabeam Transceiver 6

2.1 Block diagram of FSO Transmitter 8

2.2 Practical form of transmitter 8

2.3 Light power v/s current for LED and LASER 9

2.4 Small-signal frequency responses of an LED and an LD with negligible parasitic effects

10

2.5 BER performance for OOK (NRZ and RZ), from Eq. (2.38), and L-PPM (L = 2, 4, and 8)

14

2.6 Power spectrum of the transmitted signals for OOK (NRZ and RZ), and L-PPM (L = 2, 4, 8)

15

2.7 Example of (a) LED drivers, (b) shunt driver 20

2.8 Output power v/s current for LASER diode 21

2.9 LASER Driver Circuits 22

2.10 Ports DB-9 AND MAX232 23

2.11 RS232 to TTL interface 24

2.12 HyperTerminal screen 25

2.13 variety LED‘s available 25

2.14 a typical LASER diode 26

VII

2.15 Collection of and gates as LASER Driver 27

2.16 LASER Driver using op-amp 28

2.17 Overall attenuation v/s distance plot for different wavelengths 29

3.1 Block diagram of Simple Receiver 31

3.2 V-I characteristic of photo diode 32

3.3 energy band diagram of PIN photo diode 33

3.4 responsivity v/s wavelengths 34

3.5 sensitivity v/s Photodiode areas 35

3.6 various kinds of Noises 35

3.7 Low impedance circuits 37

3.8 Trans Impedance circuits 38

3.9 Decision Circuitry 38

4.1 HVB–21 Models 40

4.2 Performance of perfect CSI at receiver for log-normal channel model 42

4.3 Performance of imperfect CSI at receiver for log-normal channel model 43

4.4 Performance of Gamma-Gamma channel model 45

4.5 Performance of K channel model 46

4.6 Performance of I-K channel model 48

5.1 Block Diagram of Transceiver Circuit

51

5.2 Photograph of circuit board

52

VIII

LIST OF TABLES

1.1 Comparison of FSO with other technologies in terms of cost 2

2.1 Comparison of different baseband intensity modulation techniques. 15

2.2 Relationship among Material, System Wavelength, and Band Gap Energy for LED

Structures

19

2.3 Power Calculation 30

5.1 project design specifications

50

5.2 electrical characteristic of BPW-34 51

NOMENCLATURE

FSO Free Space Optics

LOS Line Of Sight

R.I. Refractive Index

S.I. Scintillation Index

CSI Channel State Information

BER Bit Error Rate

SNR Signal to Noise Ratio

IM/DD Intensity Modulation/Direct Detection

OOK On Off Keying

HVB Hufnagel Valley Boundary model

1

Chapter 1

Introduction

1.1 Definition

Free Space Optics, the industry term for ―Cable-free Optical Communication Systems‖, is a

line-of-sight optical technology in which voice; video and data are sent through the air (free

space) on low-power light beams at speeds of megabytes or even gigabytes per second [1]. A

free-space optical link consists of 2 optical transceivers accurately aligned to each other with a

clear line-of-sight. Typically, the optical transceivers are mounted on building rooftops or behind

windows. These transceivers consist of a laser transmitter and a detector to provide full duplex

capability. It works over distances of several hundred meters to a few kilometres.

Figure 1.1 10-Gbps FSO link, deployed by MRV Communications' Tele-Scope 10GE. Feb 12, 2010.

1.2 Factors behind market growth

Fibre optics provides an excellent solution for high bandwidth, low error requirements and

can serve as the backbone for the internet infrastructure. Most of the recent trenching to lay fibre

has been to improve the metro core (backbone). Carriers have spent billions of dollars to increase

network capacity in the core, of their networks, but have provided less lavishly at the network

edges. This imbalance has resulted in the "last mile bottleneck." Service providers are faced with

2

the need to turn up services quickly and cost-effectively at a time when capital expenditures are

constrained.

From a technology standpoint, there are several options to address this "last mile connectivity

bottleneck" but most don't make economic sense.

Fibre - Optic Cable: Without a doubt, fibre is the most reliable means of providing optical

communications. But the digging, delays and associated costs to lay fibre often make it

economically prohibitive. Moreover, once fibre is deployed, it becomes a "sunk" cost and cannot

be re-deployed if a customer relocates or switches to a competing service provider, making it

extremely difficult to recover the investment in a reasonable timeframe. Connecting with fibre

can cost US $100 000-$200 000/km in metropolitan areas, with 85 percent of the total figure tied

to trenching and installation [2].

Radio frequency (RF) Wireless: RF is a mature technology that offers longer ranges distances

than FSO, but RF-based networks require immense capital investments to acquire spectrum

license. Yet, RF technologies cannot scale to optical capacities of several gigabits. The current RF

bandwidth ceiling is 622 megabits. When compared to FSO, RF does not make economic sense

for service providers looking to extend optical networks [3].

Wire & Copper-based technologies: (i.e. cable modem, T1s or DSL): Although copper

infrastructure is available almost everywhere and the percentage of buildings connected to copper

is much higher than fibre, it is still not a viable alternative for solving the connectivity bottleneck.

The biggest hurdle is bandwidth scalability. Copper technologies may ease some short-term pain,

but the bandwidth limitations of 2 megabits to 3 megabits make them a marginal solution [3].

Table 1.1 Comparison of FSO with other technologies in terms of cost [5].

3

The need for FSO is accelerated by several factors. First, more and more bandwidth is needed

by the end user, which means that more data access must be provided. As a fact, the number of

internet users will be increased to approximately 796 million by the end of 2005 [4]. It has been

shown that the FSO implementation is not only cheaper compared to the fibre optics, but also

compare to other popular technologies like the digital subscriber line (DSL) or cable modem

services [5]. Providing last mile connectivity is extremely difficult and expensive. In metropolitan

areas, an estimated 95 percent of buildings are within 1.5 km of fibre-optic infrastructure. But at

present, they are unable to access it. Street trenching and digging are expensive, cause traffic jams

and displace trees.

Figure 1.2 Last-Mile Connectivity

Working via a hub building, free-space optics can connect each of the three buildings at the

left to a central office of competitive local exchange carrier at 100-Mb/s. This office is a node on

a metropolitan-area ring, which is connected to a regional ring by means of conventional fibre-

optics equipment [5].

1.3 A Case Study

In one free-space optics business case, a competitive local exchange carrier (CLEC) has an

agreement with a large property management firm to provide all-optical 100-Mb/s Internet access

capability to several buildings located in an office park. The carrier is building its network by

4

leasing regional dark fibre rings and long-haul capacity from a wholesale fibre provider. It has

identified a potential hub, or point-of-presence, less than a kilo-meter from the office park and

within sight of one of its central offices. The CLEC currently has no fibre deployed to target

customer buildings [see Figure 2].

When fibre was compared with free-space optics, deployment costs for service to the three

buildings worked out to $396 500 versus $59 000, respectively. The fibre cost was calculated on a

need for 1220 meters: 530 meters of trunk fibre from the CLEC‘s central office to its hub in the

office park plus an average of 230 meters of feeder fibre for each of the runs from the hub to a

target building, all at $325 per meter. Free space optics is calculated as $18 000 for free-space

optics equipment per building and $5000 for installation. Supposing a 15 percent annual revenue

increase for future sales and customer acquisition, the internal rate of return for fibre over five

years is 22 percent versus 196 percent for free-space optics[2].

1.4 Advantage of FSO

FSO systems can carry full-duplex (simultaneous bi-directional) data at gigabit-per-second

rates over metropolitan distances of a few city blocks to a few kilo-metres [1].

Data is transmitted in the visible to infrared light spectrum (terahertz spectrum range). Unlike

most of the lower-frequency portion of the electromagnetic spectrum, this part above 300

GHz is unlicensed worldwide and does not require spectrum fees. The only limitation on its

use is that the radiated power must not exceed the limits established by the International

Electro technical Commission (Standard IEC60825-1).

Since data is beamed over the air and not via fibre-optic cable, the carrier does not have to

lease or deploy wired infrastructure.

Cost Effectiveness: These free-space systems require less than a fifth the capital outlay of

comparable ground-based fibre-optic technologies [5]. FSO thus has compelling economic

advantages.

Rapid Deployment: Free-space optics enables very fast deployment of broadband access

services to buildings. Installing an FSO system can be done in a matter of days - even faster if

the gear can be placed in offices behind windows instead of on rooftops.

5

The time-consuming and expensive process of getting permits and trenching city roads is

completely avoided. Using FSO, a service provider can be generating revenue while a fibre-

based competitor is still seeking municipal approval to dig up a street to lay its cable.

1.5 Limitation of FSO

Here we are using air as a medium. So performance is highly dependent on environment. So,

if the environment is not good our data rate is limited. We have to design our model carefully

based on the environmental condition of the particular place.

Line of sight is necessary. So, if there is an obstruction is there between transmitter and

receiver this setup cannot be established. To avoid this, we have to set this on the roof of the

tall buildings.

Comparing with optical fiber, its range is very much limited, which also is dependent on

environmental condition. So we can use this only for LAN or MAN. We cannot use this in

overseas condition.

As with any laser, eye safety is a concern. There are two wavelengths of light, 850nm and

1550nm. The 1550nm units are, generally, safe due to the fact that the human eye (aqueous

lens) absorbs the light energy and no damage will be sustained to the retina. The 850nm

wavelength can cause damage to the retina. The person will not be aware of the damage since

the retina has no pain receptors and invisible light does not cause a blink reflex. Therefore

850nm lasers need to be installed carefully and ensure that human eyes will receive the signal.

This is easily done by mounting the lasers on a wall.

1.6 Application of FSO

'Last-Mile' Network Solutions.

Temporary Network Provision.

CCTV Security Applications.

Industrial estates, Science parks and university campus where number of separate buildings,

separated by roads or other obstacles, between which communications links are frequently in

demand Backhaul for wireless cellular network.

Military Applications where more security is required.

Satellite Laser Communication.

LAN-to-LAN connections on campuses at Fast Ethernet or Gigabit Ethernet speeds.

Speedy service delivery of high-bandwidth access to optical fibre networks.

Re-establish high-speed connection quickly (disaster recovery).

6

1.7 A typical system model

A typical free space optics communication system consists of: a small laser source that can be

directly modulated in intensity at fairly high data rates; a beam shaping and transmitting telescope

lens to transmit the laser beam through the atmosphere toward a distant point; a receiving lens or

telescope to collect and focus the intercepted laser light onto a photo detector; and a receiver

amplifier to amplify and condition the received communication signal. The transmitted laser beam

passes through the atmosphere and can be absorbed, scattered or displaced, depending on

atmospheric conditions and on the wavelength of the laser source. In the case of high atmospheric

turbulence, an active tracking device may have to be used to align the beam. Active tracking is

not necessary if sufficient laser power can be made available, if the divergence of the beam can be

expanded and if the building and alignment are stable. Figure 3 is a photograph of a FSO unit that

operates at 1.55 µm wavelength and can provide a data link at speeds up to a Gbit/s [1]. The unit,

made by Terabeam, has a small single transmitted laser beam and a larger receiver telescope lens.

It also has an optical video alignment TV that the installer uses for initial alignment to the other

rooftop or window office unit.

Figure 1.3 Terabeam Transceiver

1.8 Objective of the project

1. Design a moderate speed FSO data link with transfer rates up to 100Kbps.

2. Operating distances 200 to 300mts.

3. Much Cheaper as compared to the commercially available equipment. The estimated basic

design cost was around Rs 3000/-. A commercial 850-nm transceiver for a 10-100-Mb/s unit

spanning a few hundred meters can cost as much as $5000.

4. Design using readily available, cheap and indigenous components instead of expensive,

specialized components.

5. Compact & Easy to install reliable Hardware.

7

6. Very less setup times.

7. Provide an excellent platform for design and testing of more advanced FSO projects and

communication protocols.

For this, we first describe the components of the transmitter and then receiver, both of which

are the elements of the link to be established. We aim at designing the link for testing over small

distance under laboratory conditions and hence won‘t be including any tracking mechanism.

8

Chapter 2

Transmitter for Free Space Optical Communication

2.1 Block diagram and practical circuit layout of FSO transmitter

Figure 2.1 Block diagram of FSO Transmitter

Figure 2.2 Practical form of transmitter

The transmitter, which consists of two parts; an interface circuit and a source drive circuit,

converts the input signal to an optical signal suitable for transmission. The drive circuit of the

transmitter transforms the electrical signal to an optical signal by varying the current flow through

the light source. This optical light source can be of two types: (1) a light-emitting diode (LED) or

(2) a laser diode (LD). The information signal modulates the field generated by the light source

and after passing through optics for concentrating the generated beam moves to the channel. The

peltier element acts to cool the laser diode as it is very sensitive to temperature.

Source Modulator Driver Circuit Light SorceBeam

Concentrators

Cooling Mechanism

9

2.2 Qualities of the optical source

It is important that the frequency response of the light source exceeds the frequency of the

input signal as light is the carrier. It is this feature that regulates the frequency of

operation.

The light source should launch its energy at angles that maximum portion is transmitted to

receiver end.

Faster speed of operation

long lifetime

high intensity

reasonably monochromatic (small spectral width)

temperature stability

2.2.1 LED v/s LASER

(i) LED‘s do not produce so concentrated a beam as LASER and hence are preferred for

indoor applications due to eye safety issues. In outdoor environments, the properties of

LASER Diodes — such as narrow spectra, high power launch capability, and higher

access speed — make these devices the favourite optical source for long-distance and

outdoor directed-LOS links.

(ii) Light power v/s current as they differ considerably as shown in below figure LED‘s show

linear characteristics near origin whereas LASER above threshold. Also, a LASER at 30

°C requires 70 mA to output 2 mW of optical power may require in excess of 130 mA at

80 °C). This implies that more current is required before oscillation. So for lower current

supply LASERs are unsuitable.

Figure 2.3 Light power v/s current for LED and LASER showing temperature dependency

of LASER [6].

10

(iii) Speed of operation. Laser diodes are much faster than LED‘s due to LED having

spontaneous recombination and LASER having simulated emission. Modulation

bandwidth up to few MHz for LED as compared up to 10 GHz for LASER.

Figure 2.4 Small-signal frequency responses of an LED and an LD with negligible

parasitic effects.

(iv) Brightness of LASER as a light source is higher as it combines the properties of an LED

and a cavity reflector, producing an external light radiation that is higher in power and has

a better focused beam as compared to LED.

2.2.2 A novel development in light sources-VCSEL

Vertical cavity surface emitting lasers (VCSEL), which offer a safer peak wavelength

at 1.55 μm [7], are becoming an increasingly attractive option for outdoor and even indoor

applications due to their well-controlled, narrow beam properties, high modulation bandwidth,

high-speed operation, excellent reliability, low power consumption, and the possibility of

having array arrangements. It provides these advantages and is cheaper in cost too. They

provide better carrier confinement for lesser heat dissipation and better current flow. The

optical output power needs to be over 10 mW if the device is to be used as a light source for

FSO outdoor applications. The optical output power of a conventional VCSEL is not adequate

as a FSO light source, for conventional VCSEL devices to be used as a light source for FSO

they are used as arrays to provide sufficient power [7].

11

2.2.3 A novel development in light sources-VCSEL

Free space optical communication typically operating in unlicensed Tera-Hertz

spectrum bands (wavelength 800–1700 nm) is used as it provides improvement in signal

bandwidth over operation in the RF environment [9]. To achieve emission at a desired specific

wavelength, the material must allow a band gap variation, which can be achieved through

different level of doping. Lasers in the 780–925-nm and 1525–1580-nm spectral bands meet

frequency requirements and are available as off-the-shelf products. Most optical transmission

technology is designed to operate at a wavelength of 850 nm. However, the latest technology

includes 1.55-μm devices [8], such as above mentioned VCSELs which are attractive due to

the fact that, up to certain power levels, they do not harm the human eye.

2.3 Modulation Schemes in Optical Wireless Communications

In optical wireless systems, the intensity of an optical source is modulated to transmit signals.

This is because of the complexity and expensiveness of coherent modulation techniques like

phase and frequency modulation [9]. A great number of applications use Intensity

Modulation/Direct Detection (IM/DD) as the transmission-reception technique due to its

simplicity of implementation [10].

Modulation schemes like QAM make more efficient use of the bandwidth than schemes like

OOK. Researchers have found it difficult to apply advanced modulation techniques like QAM on

lasers because of the way lasers are generated. If this were achieved, lasers should be able to

attain greater QAM levels than microwaves because of their high signal-to-noise ratio [12].

Applying more bandwidth-efficient techniques to lasers is not necessary because of the wide

bandwidth available to lasers. Furthermore, lasers are unlikely to interfere with other laser signals

because of their small beam spread. Therefore, there is not a high motivation to research

bandwidth-efficient modulation for lasers.

For digital data transmission, there is no practical alternative to digital modulation since it

provides source coding (data compression) as well as channel coding (error detection/correction).

The transmission of the digital data can be done on a bit-by-bit basis (binary encoding) or on a

bit-word basis (block encoding).

2.3.1 On-Off Keying

The simplest type of binary modulation scheme is OOK. In an active high OOK

encoding, a ‗one‘ is coded as a pulse, while a ‗zero‘ is coded as no pulse or off field. To

restrict the complexity of the modulator, the pulse shape is chosen to be rectangular. T he bit

rate is denoted as

Rb = 1/ Tb

Where Tb is the bit duration; and is directly related to the rate at which the source can be

switched on and off. The normalized transmit pulse shape for OOK is given by

12

In the demodulator, the received pulse is integrated over one bit period, then sampled and

compared to a threshold to decide a ‗one‘ or ‗zero‘ bit. This is called the maximum likelihood

receiver, which minimizes the bit error rate (BER).

Another important parameter that needs to be considered in any modulation scheme is the

bandwidth requirement. The bandwidth is estimated by the first zeros in the spectral density of

the signal. The spectral density is given by the Fourier transform of the autocorrelation

function.

2.3.2 RZ OOK

There is a variation of OOK, in which the pulse shape is high for only a fraction of bit

duration dTb with 0 < d <1. The benefit obtained from this scheme is a reduction in

transmitted power. However, as d decreases, the bandwidth requirement grows faster than the

decrease in power requirement. Thus, this type of OOK is inferior to PPM, which offers less

bandwidth to achieve a given reduction in power. For d = 0.5, this scheme is commonly called

return-to-zero (RZ) OOK. In RZ-OOK, it is intuitive to show that the power requirement is

reduced to half of the regular non-return-to-zero (NRZ) OOK discussed earlier, with the

expense of doubling the bandwidth.

2.3.3 Manchester Encoded Signal

The basic disadvantage of OOK signalling is that key receiver parameter values, such

as power levels, must be known to optimally set the threshold. A pulse format that avoids this

difficulty uses pulse-to-pulse comparison for decoding. One way to do this in binary encoding

is called Manchester coding, where a ‗one‘ is signified when the optical signal is on during the

first half of the symbol interval, and a ‗zero‘ is signified when the optical signal is on during

the second half of the symbol interval. The transmit pulse shape pm for m = {0, 1} can be

written as

The demodulator separately integrates the detector output over the two half bit intervals and

compares them for bit decoding. The bit is decoded according to which integration produces

the higher value, and no threshold need be selected. The system still uses pulse signalling, but

13

the pulse time is one half the bit times, and these results in higher required bandwidths. The

BER is now the probability that the bit half interval containing the pulse does not produce the

higher value. Since the Manchester signalling is identical to 2-PPM, all the results for PPM

can be applied directly in analyzing this scheme.

2.3.4 Pulse Position Modulation

In block encoding, bits are transmitted in blocks instead of one at a time. Optical block

encoding is achieved by converting each word of l bits into one of L = 2l optical fields for

transmission. One of the most commonly used optical block encoding schemes is PPM, where

an input word is converted into the position of a rectangular pulse within a frame. The frame

with duration f T is divided into L slots and only one of these slots contains a pulse. This

scheme can also be denoted as LPPM, in order to emphasize the choice of L. The transmit

pulse shape for L-PPM is given by

Since L possible pulse positions code for log2L bits of information, the bit rate is

Rb = log2L/Tf .

The optimum L-PPM receiver consists of a filter bank, each integrating the photocurrent in

one pulse interval. The demodulated pulse is taken to originate from the slot in which the most

current level was found. If the demodulated pulse position is the correct pulse position, log2L

bits are decoded correctly. Otherwise, we assume that all L -1 wrong position are equally

likely to occur. Therefore bit errors usually occur in groups.

The BER for Manchester signals for L=2 is identical to the BER of OOK modulation.

2.3.5 Comparison of Modulation Schemes

In order to compare different modulation schemes, the power and bandwidth

efficiency, defined as the required power and bandwidth at a desired transmission speed and

BER quality, are to be compared. Power efficiency can readily be derived from the BER

expressions.

To achieve a given BER value, the power requirement in OOK and L-PPM scheme can be

written as

14

It is fairly obvious that 8-PPM has the best BER performance, and hence is the most power

efficient scheme. To achieve a given BER value, the comparison of power requirement in

OOK and L-PPM scheme show that L-PPM requires a factor of ((L /2) log2L)0.5 less power

than OOK to obtain a particular BER performance.

Figure 2.5 shows the BER performance of OOK, for both NRZ and RZ, and L-PPM for L = 2,

4, and 8.

Figure 2.5 BER performance for OOK (NRZ and RZ), from Eq. (2.38), and L-PPM (L = 2 , 4,

and 8)

15

Another important measure of performance is the bandwidth efficiency. The bandwidth

required for modulation can be estimated from the first zero of the transmitted signals power

spectrum. Fig.9 illustrates the spectral density envelope (without the Dirac impulses) of the

transmitted signals for OOK and L-PPM. Note that only positive frequency is shown and the

frequency is normalized to the bit rate Rb.

Figure 2.6 Power spectrum of the transmitted signals for OOK (NRZ and RZ), and L-PPM (L

= 2, 4, 8).

The bandwidth efficiency is defined as the ratio between bit rate and required bandwidth (in

bps/Hz). The required bandwidth is

B = Rb for OOK and B =LRb /log2L; for L-PPM.

Thus, the bandwidth efficiency of L-PPM can be shown to be at least 1.9 times worse than

OOK. To conclude, the comparison results are also summarized as

Table 2.1- Comparison of different baseband intensity modulation techniques.

16

2.3.6 Conclusion

Signal transmission in optical wireless systems is generally realized using an intensity

modulation technique. For FSO systems, although the power efficiency is inferior to PPM,

OOK encoding is more commonly used due to its efficient bandwidth usage and robustness to

timing errors [11]. Furthermore, the slot timing capability places a lower limit on the slot

times that can be used in PPM systems, limiting their advantage over OOK systems.

Therefore, in this research work, FSO systems are designed using intensity modulation/direct

detection (IM/DD) with an OOK technique.

2.4 All about LASERs

2.4.1 Unique characteristics

Lasers have unique characteristics that set them apart from other light sources.

Monochromatic: The output of a laser is light of a single colour (the light is very nearly a

single wavelength). The difference between the output of a laser and that of an incandescent

light bulb is analogous to the difference between a single tone and white noise.

Coherence: All of the light waves start at the same instant in time (all the waves are in step)

Directionality: The beam is either well collimated to start or can easily be collimated or

otherwise manipulated. These special characteristics are very important for laser

communication.

2.4.2 Types of LASERs available

Diode laser

Helium-Neon laser

Argon/Krypton ion laser

Carbon Dioxide laser

Helium-Cadmium (HeCd) laser

Of particular interest to FSO applications is the diode laser source due to small size, ease of

handling, cost effectiveness, being electrically run and functioning at the desired frequency

range. Most of these lasers are also used in fibre optics; therefore, availability is not a

problem.

17

2.4.3 Working of LASER Diode

A 'laser diode', refers to the combination of the semiconductor chip - driven by low

voltage power supply - that does the actual lasing, along with a monitor photodiode chip (for

regulation of laser diode current using optical feedback control) in the same package as the

laser diode. Because the band gap of a semiconductor depends on the crystalline structure and

chemical deposition of the material, diode lasers can operate at a specific wavelength by

changing the composition of the material system.

2.4.4 Classes of LASERs based on eye safety and power

Class 1- products are defined as inherently safe, which means that they are safe even when

viewed with an optical instrument. They are not supposed to present any hazard to the human

eye independently of their wavelength of operation and the exposure time.

Class 2- applies to sources between 400 and 700 nm (visible light), and it states that lasers in

this category are safe if the blink or aversion response of the eye operates (the blink or

aversion response is the natural ability of the eye to protect itself by blinking.

Class 3- laser with power range between 1 mW and 0.5 W [13]. The energy emitted by this

type of source is dangerous not only if seeing a direct beam, but also when seeing reflections.

Damage may occur in a period of time shorter than the blink response of the eye.

The new regulation by IEC addresses the power density in front of the transmit

aperture rather than the absolute power created by a laser diode inside the equipment. For

example, the laser diode inside the FSO equipment can actually be Class 3B even though the

system itself is considered to be a Class 1 or 1M laser product if the light is launched from a

large-diameter lens that spreads out the radiation over a large area before it enters the space in

front of the aperture. The new regulation also states that a Class 1M laser system operating at

1550 nm is allowed to transmit approximately 55 times more power than a system operating

in the shorter IR wavelength range, such as 850 nm, when both have the same size aperture

lens.

2.4.5 Selection of LASER for FSO applications

We have used Class II LASERs with power up to 1 mill watt. These lasers are not

considered an optically dangerous device as the eye reflex will prevent any ocular damage.

(i.e. when the eye is hit with a bright light, the eye lid will automatically blink or the person

will turn their head so as to remove the bright light. Class II lasers won't cause eye damage in

this time period. No known skin exposure hazards exist and no fire hazard exist. FSO uses

class II laser device.

18

Laser diodes with wavelengths around 635 nanometres are available which is a red

beam. Deep Red (670 nm) and beyond, IR (780 nm, 800 nm, 900 nm, 1550 nm, etc.) up to

several micrometers are also available. Green and blue laser diodes which have been produced

in various research labs, only operated at liquid nitrogen temperatures, had very limi ted life

spans (~100 hours or worse), or both. Due to the sensitivity curve of the human eye, a

wavelength of 635 nm appears at least 4 times brighter than an equivalent power level at 670

nm. Thus, shorter wavelength laser diodes will be preferred choice.

2.5 All about LED’s

Light-emitting diodes (LEDs) are semiconductor light-emitting structures. Due to their

relatively low transmission power, LEDs are typically used in applications over shorter

distances with moderate bandwidth requirements up to 155 Mbps. Depending on the material

system, LEDs can operate in different wavelength ranges. Advantages of LED sources include

their extremely long life and low cost.

2.5.1 LED Operation and Characteristics

When an n- and a p-type material are brought together, the electrons and the holes

recombine in the interface region. However, during this process, a barrier (neutral region) is

generated and neither the electrons nor the holes have enough energy to cross this barrier.

With zero bias voltage applied to the structure, the charge movement stops and no further

recombination takes place. However, when a forward bias voltage is applied, the barrier

decreases and the potential energy of the free electrons in the n-type material increase. In

other words, the potential energy level of the n- side is raised. The forward bias voltage

provides the electrons and holes with sufficient energy to move into the barrier region. When

an electron meets a hole, the electron ―falls‖ into the valence band and recombines with a

hole. During this process, energy is released in the form of a photon. The wavelength of the

light emitted during this process depends on the energy band gap width Wg, as shown in the

following equation.

Wg= 1.24/λ

Table 2.2 shows a listing of semiconductor material systems and the relationship between

band gap energy and emission wavelength. For free-space optical applications, the Gallium

Arsenide (GaAs) and Aluminium Gallium Arsenide (AlGaAs) material systems are of interest

because the emission wavelengths fall into the lower wavelength atmospheric window around

850 nm.

19

Table 2.2 Relationship among Material, System Wavelength, and Band Gap Energy for LED

Structures

2.5.2 Types of LED’s and lifetimes

With respect to light emission, LEDs are one of two types: surface-emitting LEDs or

edge emitting LEDs. Whereas surface-emitting diodes have a symmetric Lambertian radiation

profile (a large beam divergence, and a radiation pattern that approximates a sphere), edge

emitting diodes have an asymmetrical elliptical radiation profile. LEDs are commercially

available in a variety of packages: TO-18 or TO-46. Some packages include micro lenses to

improve the quality of the output beam.

LEDs typically operate at a modulation bandwidth between 1 MHz and 100 MHz. LEDs that

can be used in applications that require a higher modulation bandwidth are not capable of

emitting high optical power levels. A 1 mW LED is already considered to be high power at

higher modulation speed. However, the lifetime of LEDs (the length of time until the power is

reduced to half of the original value) can be as high as 105 hours. This corresponds to about

11 years.

2.6 Driver Circuits

High speed LED and LASER drivers are becoming more prominent in the digital

industry due to increased speeds of data transfer. The term "high speed" in the market sense

refers to data rates greater than one Mbps. There is a switching speed and light intensity

trade-off that hinders the design for some applications.

2.6.1 Types of LED’s and lifetimes

a) Working

The LED driver controls the voltage across the diode and either turns the diode "on" or

"off". The LED turns "on" when a forward bias greater than the turn on voltage is applied,

and the diode begins to emit light. The driver must be designed to produce a large enough

voltage so that the diode will give off the desired intensity. When the driver turns the

LED "off" the voltage should adjust the diode to barely conduct. This is necessary

20

because it takes far too long to turn on a diode once it has been completely turned off.

The photon intensity from the diode when it is barely conducting must be negligible when

designing a product.

b) Circuit Design

The basic construction for any LED driver, in core remains as shown here. The LED are

operated with switching on and off of a current in the range of a few tens to a few

hundreds mA. This current switching is performed in response to input logic voltage

levels at the driving circuit. A common method of performing this current switching

operation of the LED is shown in Figure 2.7(a). The common emitter configuration is

adapted with a bipolar transistor providing current gain. In this circuit, the output current

flowing through the LED is set by the value of R2. However, the switching speed is

limited by the diffusion capacitance which means that the bandwidth and current gain

have the trade-off relation. To increase the switching speed, low impedance driver (shunt

driver) is developed as shown in Figure 2.7(b).

Figure 2.7 Example of (a) LED drivers, (b) shunt driver

c) Working of Shunt Driver Circuit

The shunt driver circuit simply puts the LED in parallel with the driver output. This

circuit is patented because the old LED drivers had the diode in series with the driver

output, and while in parallel the rise and fall times of signals are much faster.

The output of the driver consists of a high speed switching transistor. The carriers

built up in the junction of the diode are swept out quickly through the shunt connection to

the transistor. When the transistor starts conducting it reverses the direction of minority

carriers and recombines electron-hole pairs much quicker than natural recombination.

Essentially the diode is "on" when the transistor stops conducting and vice versa. This

circuit varies with different designs but is mainly used to increase signal integrity, reduce

21

jitter, and decrease the extinction ratio. Maxim designed a high speed LED driver circuit

with a data rate of 155 Mbps.

d) Higher Data rate implementation

Sumitomo Electric Industries has created a shunt LED driver circuit using GaAs

semiconductors that is successfully tested at bit rates of 400 Mbps over a few centimetres

[14]. The shunt driver circuit is frequently used in current FSO research. The bit rates

produced by high speed LED drivers would satisfy speed requirements for smaller

communication networks (Mbps range), but not for the larger tier networks (Gbps range).

2.6.2 LASER Driver Circuit

The laser transmitter circuitry is somewhat different from the LED drivers since as

shown in the light-versus-current characteristics of the laser (figure 10), the light output is

very small until the DC current reaches the threshold current. After the threshold current, the

optical power is approximately linear with current. The problem associated with typical lasers

is that the characteristic curve is not linear at high current and tends to shift to the right as both

the temperature and device ages are increased. This results in unwanted changes in output

power, extinction ratio, and turn-on delay in digital transmission. Thus, the laser should be

biased near the threshold current when it is in off state to reduce the turn-on delay and to

minimize any relaxation oscillations, and also to easily compensate for variations in threshold

due to temperature and device ageing.

Figure 2.8 Output power v/s current for LASER diode

For biasing the laser, a bias control circuit is necessary in designing laser driver

circuits. A simple laser driver circuit used to connect the output of a current driver circuit

directly to the laser diode is shown in figure 12(a). The threshold current for a laser is

provided by Vbias and modulation current is provided by source resistor, Rmod, respectively.

22

This type of single-ended laser driver is typically used with low operating speed due to the

unwanted parasitic inductance from the package‘s bondi ng wires. When this parasitic

inductance is combined with the capacitance of the laser driver circuits and lasers, it degrades

output of the laser‘s rise time and causes power supply current ripple. Another example of the

laser driver circuit is shown in Figure 12(b) when the driver circuit and the laser are placed in

different package. In this topology, a matching circuitry between the driver and the laser is

necessitated to overcome the large impedance mismatch. In this circuit, Ibias controls the DC

threshold current and Imod provides the modulation current for the laser.

Figure 2.9 LASER Driver Circuits

2.7 Practical Design Steps

2.7.1 LASER Driver Circuit

While designing the transmitter, the first thing in transmitter is the PC to transceiver interface.

Available options:

1) We can use MAX232 IC by MAXIM to convert RS232 signals from PC to TTL and CMOS

logic levels and vice versa. MAX232 has now replaced the previous 1488 and 1489

transmitter and receiver IC pair and is most commonly used in any serial interfacing with

RS232. It is available at cost of approximately Rs 30 to 40 (at Robokits).

23

Figure 2.10 Ports DB-9 AND MAX232

Working:

Serial RS-232 (V.24) communication works with voltages (between -15V ... -3V are

used to transmit a binary '1' and +3V ... +15V to transmit a binary '0') as per the electrical

specifications contained in the EIA (Electronics Industry Association) for the RS232C

standard. Also, the region between +3 and -3 volts is undefined and open circuit voltage

should never exceed 25 volts. On the other hand, classic TTL computer logic operates

between 0V ... +5V (roughly 0V ... +0.8V referred to as low for binary '0', +2V ... +5V for

high binary '1' ). Modern low-power logic operates in the range of 0V ... +3.3V or even lower.

So, the maximum RS-232 signal levels are far too high for today's computer logic electronics.

Therefore, to receive serial data from an RS-232 interface the voltage has to be reduced, and

the 0 and 1 voltage levels inverted. In the other direction (sending data from some logic over

RS-232) the low logic voltage has to be "bumped up", and a negative voltage has to be

generated, too.

The MAX232 from Maxim just needs one voltage (+5V) and generates the necessary

RS-232 voltage levels (approx. -10V and +10V) internally. The MAX232 has a successor, the

MAX232A. The ICs are almost identical, however, the MAX232A is much more often used

(and easier to get) than the original MAX232, and the MAX232A only needs external

capacitors 1/10th the capacity of what the original MAX232 needs.

It should be noted that the MAX232 (A) is just a driver/receiver. It does not generate the

necessary RS-232 sequence of marks and spaces with the right timing; it does not provide a

serial/parallel conversion. All it does is to convert signal voltage levels.

2) RS232 data cable which automatically converts the digital TTL signal to RS232 and back

as mobiles need 5V or 3.3V supply can also be used.

3) MAX232N by Texas Instruments. It needs at least 1µF capacitors as compared to 0.1 µF

capacitors in MAX2322A by MAXIM. It is also cheaper in comparison- costs around Rs. 26.

4) Circuit for RS232 to TTL interface level converter can also be used

24

Figure 2.11 RS232 to TTL interface

Complete explanation of this can be viewed at:

http://www.botkin.org/dale/rs232_interface.htm

2.7.2 Using HyperTerminal to send a file to a remote computer

We then make use of HyperTerminal available in Windows XP for serial

communication testing using our PC. HyperTerminal is a program that you can use to connect

to other computers, Telnet sites, and bulletin board systems (BBSs), online services, and host

computers, using your modem, a null modem cable or Ethernet connection.

1) Open HyperTerminal.

2) Open a saved connection file or create a new connection.

3) Connect to the remote computer.

4) On the Transfer menu, click Send File. In the Filename box, type the path and name of the file

you want to send.

5) In the Protocol list, click the protocol your computer is using to send the file. Click Send.

25

Figure 2.12 HyperTerminal screen

Setting up HyperTerminal

1) Performing this task does not require you to have administrative credentials. Therefore, as a

security best practice, consider performing this task as a user without administrative

credentials.

2) To open HyperTerminal, click Start, point to all programs, point to Accessories, point to

Communications, and then click HyperTerminal.

3) You must have an active HyperTerminal session connected prior to performing this

procedure. Both the sending computer and the receiving computer must be using the same file

transfer protocol.

4) If you use the Modem protocol to transfer data, the remote computer will receive the file

automatically and will not need to perform a manual receive procedure.

2.7.3 Selection of light source

Figure 2.13 variety LED‘s available

26

a) LED’s

Today, we have available in the market a large variety of LED‘s and laser diodes.

When looking for LED, we have IR LED‘s at our desired range of 850 nm to 880 nm,

1200 to 1300 nm as well as 1550 nm available (although 850 nm and 1550 nm remain the

most commonly available and used). They come in a large variety of price ranges from Rs.

5 to as high as Rs. 500 (several manufacturers were contacted and the prices are as quoted

by them for bulk purchase of IR LED‘s) based on their spectral width, power radiated , half

power angle and maximum operating frequency. A few of the IR LED manufacturers are

listed below.

1) Hamamatsu

2) Dense light Semiconductors PVT. LTD.

3) Cree LED lights

4) Ray science Innovation Ltd.

5) Ad labs Pvt. LTD.

6) New age instruments and materials private Ltd.

For our experiment, we use typically,

850 nm LED (cheaper than 1550 nm although having slightly higher atmospheric

attenuation index). 1550 nm would be preferred choice in longer distance involving

designs.

20-50 nm full width half maximum spectral width

10 mW to 100 mW power are commonly used although up to 350 mW available(as per

distance of transmission)

7 deg to 45 deg half power angle (as per cost consideration)

b) LASER Diode

Figure 2.14 a typical LASER diode

27

A wide variety of LASER sources are available but due to reasons explained in the theory

portion, we make use of only LASER diodes. Laser diodes best suited for FSO

applications are the above mentioned IR wavelength diodes. LASER diodes are available

in IR range (up to 830 nm) but cost as high as Rs. 8000 for LD of power 10 mW and 830

nm. . However a talk with the sales executives of New age instruments and materials PVT.

Ltd and other laser diode suppliers and authorised agents for Hamamatsu in India was

suggestive that laser diode with 1550 nm remains unavailable. But for our low cost

experimental purposes, we can use the cheaply available red lasers of 635 nm range. Here,

we look for

Power radiated (calculations shown below)

Beam spread angle in vertical and parallel directions.

Laser diodes are fairly monochromatic so, spectral width is not so much of a concern.

Also, at all times in FSO, point lasers and not line lasers should be considered as in line

lasers, divergence increases.

2.7.4 Practical Driver Design models

The HSDL4220 infrared LED is originally unsuitable for 10 Mbit/s operations. It has a

bandwidth of 9 MHz, where 10 Mbit/s Manchester-modulated systems need bandwidth of

around 16 MHz. Operation in a usual circuit with current drive would lead to substantial

signal corruption and range reduction. Therefore Twibright Labs developed a special

driving technique consisting of driving the LED directly with 15-fold 74AC04 gate output

in parallel without any current limitation. The same idea has been put into action in the

circuit used in the project where a bunch of and gates have been used for supplying higher

current when there is too low current for driving laser.

Figure 2.15 Collection of and gates as LASER Driver

28

Another method of design is to make use of the op-amp

The low speed transmitter mainly consists of an op amp, a BJT (Bipolar Junction

Transistor) and a LASER. The main idea of the circuit is to function as a constant current

source switched on and off by an external pulse generator. When the supply (VCC) is high

enough, the current through the laser diode will be dependent on the size of the resistor

(REmitter), the voltage applied to the positive port of the op amp and the maximum output

swing of the op amp. An example circuit using this has been shown here.

Figure 2.16 LASER Driver using op-amp

2.7.5 Power Calculation:

The FSO link model can be divided into three separate parts, the optical transmitter,

the optical receiver and the transmission through the atmosphere. For the calculation of

the link power budget the power equivalent Gaussian beam concept is used [17].

1. OPTICAL TRANSMITTER SYSTEM

The attenuation of the transmitter system is given by the sum of losses of its parts. The

attenuation of the cover window WT and attenuation due to the Laser Diode to

Transmission medium coupling are given by its practical measurement. The usual values

are WT = -1 dB and LD = -1 dB. The attenuation of the transmitter system TS = -2.0 dB.

29

2. OPTICAL RECEIVER SYSTEM

The receiver system includes the receiver lens, the concentrator, interference filter and the

detector. The attenuation of the receiver system RS is given by a sum of looses of its parts.

The attenuation of cover window WR, receiver lens RXA, and the attenuation due to the

transmission medium to PD coupling PD are given by its practical measurement. The

practical measurement at the wavelength = 1550 nm gives us the values: WR = -1 dB,

RXA = -0.3 dB and PD = -3 dB. For the wavelength = 1550 nm the value of overall

receiver attenuation RS = -4.3 dB and for the 830 nm wavelength the value RS = -6.8 dB.

3. NEP

Next, we have noise equivalent power calculations as (example of Type : C30737E-500,

Perkin Elmer is considered) . For it, at 1 Mhz [15],

NEPDiode = Itot[A] / S [A/W]*(frequency)^0.5 = 1.14 x 10 -12 W/Hz-1/2

B = 1 MHz. This gives NEP=-89.4 dBm.

4. Atmospheric attenuation

For the FSO-link the transmission through the atmosphere could be described with

attenuation due to the particles influence and propagation attenuation. The propagation

attenuation α12 is given by the link distance L12 and the full transmitted angle represented

by the back distance L0. The attenuation due to the particles influence part is for the clear

atmosphere and the wavelength of 1550 nm given by α1part = 0.48 dB/km [16]. The

overall attenuation of the atmosphere is given by a sum

This can be seen from the graph plotted below.

Figure 2.17 Overall attenuation v/s distance plot for different wavelengths

30

5. LINK POWER BUDGET

For distance limit calculations it is necessary to calculate the mini mal value of the receiver

systems input power PRXA and the output power of the transmitter system PTXA. The

minimum power PMIN to guarantee requested bit error rate BER = 10-6 is equal to the

photodiode‘s noise equivalent power NEP increased by the signal to noise ratio SNR =

13.5 dB. The required minimum power at the photodiode PPD is then PMIN increased by

the link power margin (20 dB reserve used). The minimal value of the receiver systems

input power PRXA is then PMIN increased by the attenuation of the receiver system

PRXA. Here for 50 mW system, PTX= 17 dBm is considered and range calculated.

Table 2.3 Power Calculation

All units in dBm

NEP = -89.4 dBm

PMIN= NEP + 13.5 + 20 = -55.9 dBm

This means for the above mentioned laser diode of 50 mW power and avalanche

photodiode, we get a theoretical maximum range of 10.5 km for 850 nm and 11.5 km for

1550 nm wavelengths used.

31

Chapter 3

Receiver for Free Space Optical Communication

3.1 Block Diagram for Receiver of FSO

The main purpose of the receiver is to detect the signal in form of light, then to convert it into

electrical form, amplify it and detect the data that was transmitted. The design of the receiver is

very complicated because of some reasons like; it must be able to detect distorted or weak signals

and to make accurate decisions based on that distorted signal. Optical receiver consists of mainly

3 parts called photo detector, preamplifier and signal processing circuitry. Firstly, photo detector

converts optical signal into electrical signal that is current, and this current changes with the light

level or intensity. Then, this electrical signal is very weak due to distortion and it needs to be

amplified for further electronic processing. So, preamplifier is used here. And finally for decision

making circuitry and some electronic circuit for further signal processing is used [18].

Figure 3.1 Block diagram of Simple Receiver

3.2 Photo detector

The function of the receiver is to absorb photons and emit electrons, means to produce the

electric current from the incident photons. Photo detector must meet very high performance

requirements.

3.2.1 Requirements of photo diode

High response or sensitivity at the operating wavelength: high current should be produced in

response to incident light.

Linearity: in order to minimize the distortion for analogue transmission

Low internal noise: detector itself should produce low noise for high performance

Sufficient bandwidth / fast response speed: helps at higher data rate

Insensitivity to external conditions: it should not be affected by external conditions like

temperature

Other requirements like cost effectiveness, long life, reliability, high stability and small size.

32

3.2.2 Working principle

Light is nothing but the bundle of photons. When the light is incident on the material,

the photon is absorbed by an atom. If the energy level of the photon is greater than the band

gap energy of the material, photon causes an electron emission from conduction band to

valance band. So, free electron is generated, which is mobile and it becomes an electric

current when potential difference is applied [19].

𝐸𝑃 = 𝑕 ∗ 𝑓 ≥ 𝐸𝑔

Where EP is energy of photon, Eg is energy of electron, h is plank‘s constant, f is

frequency.

Figure 3.2 V-I characteristic of photo diode

As shown in V-I characteristic of photo diode, the value of reverse current increases

with increase in light intensity. And for particular value of light intensity, current firstly

increases and then becomes saturated.

3.3 Different types of photo detector

There are several types of photo detectors like,

photo multiplier

pyroelectric detectors

semi-conductor based photo conductors

photo diode

photo transistor

Though photo multiplier is capable of low noise and very high gain, it is not used in free space

optics because of its large size and high voltage requirements.

Pyroelectric materials are suitable for detecting high speed laser pulses using principle of

converting photons into heat, but it is not suitable for free space optics due to its quite flat

response over broad spectral band [20].

In semi-conductor based photo conductor, photo diodes are mainly used because of its small

size, fast response time and high sensitivity over photo transistors.

33

There are 2 types of photo diodes those are mainly used,

o PIN photo diode

o Avalanche photo diode

Avalanche photo diode has its internal gain, while PIN photo diode has not its internal gain,

which is well compensated by its larger bandwidth [18].

3.3.1 PIN photo diode

PIN photo diode consists of P and N region separated by a larger and very lightly

doped intrinsic region (i). When very high reverse bias voltage is applied across this diode, the

intrinsic region is completely depleted. Now a photon is incident on the diode, if the incident

photon has its energy greater than band gap energy of the semiconductor, the photon gives its

energy to electron and electron gets excited from valance band to conduction band. This

process free electron-hole pair, which is also known as photo carriers, and when high electric

field is applied in the depletion region, it causes the photo carriers to get separated and get

collected across reverse bias junction. Finally, this process gives rise to flow the current in the

external circuit, known as photo current [21].

Figure 3.3 energy band diagram of PIN photo diode

The energy band diagram of PIN photo diode is shown here, when photon has energy

greater than band-gap energy, it gives energy to electron as shown in the figure.

3.3.2 Material selection for photo detector

In selecting the material for photo detector, there are mainly two parameters. One is

responsivity and the other is the quantum efficiency. Responsivity is defined as the photo

current generated by incident photon power. Responsivity R is given as,

𝑅 =𝐼𝑝

𝑃𝑖

And another term is quantum efficiency, which is defined as the ratio of number of electron–

hole pairs generated and number of incident photons. Quantum efficiency ɳ is given as,

34

ɳ =𝑛𝑒−𝑕𝑛𝑝

Where 𝑛𝑒−𝑕 is number of electron-hole pair generated and 𝑛𝑝 is the number of incident

photons.

Figure 3.4 responsivity v/s wavelengths

As shown in the figure, the responsivity is the function of the wavelength and it increases as

wavelength increases. But as wavelength increases beyond a limit, then photon energy

becomes less than the band-gap energy of the material and responsivity reduces suddenly.

Quantum efficiency is independent of wavelength.

The best material as photo detector is silicon for wavelengths below 1 µm, because in order to

produce very large current in photo diode, there must be very large separation between hole

and electron, and somehow silicon gives the best separation between hole-electron [21]. So, at

wavelengths below 1 µm, silicon is used. And at higher wavelengths between 1.1 µm and 1.7

µm, InGaAs is used, as its responsivity is more at these wavelengths.

3.3.3 Material selection for photo detector

In avalanche photo diode, the principle of carrier multiplication is used

in the diode. Here, the photo carriers travel in a region, where very high electric field is

present, so receiver sensitivity is increased [22]. The most important 2 terms here are electron

ionization rate and hole ionization rate. Electron ionization rate is the number of separation of

electron-hole pair by an electron, and hole ionization rate is same by hole. Now, if there is a

significant difference between these two numbers, then multiplication factor increases.

Multiplication M, 𝐼𝑀 is multiplied current and 𝐼𝑃 is not multiplied current

𝑀 =𝐼𝑀𝐼𝑃

3.3.4 PIN Photo Diode v/s APD

35

Figure 3.5 sensitivity v/s Photodiode areas

As shown in figure, sensitivity decreases with decrement in photodiode area. And the graph

shows the gain of average 10 dB in sensitivity using APD over PIN photo diode.

3.4 Noise in receiver

Noise can be considered as an unwanted component that disturbs or reduce the content

of the signal. Consideration of noise is important because it helps us in finding the sensitivity

of the receiver and it puts the lower limit to the performance of the receiver set by the signal

to noise ratio.

Figure 3.6 various kinds of Noises

As shown in figure, there are mainly three types of the noises.

Dark current noise

Quantum noise

Thermal noise

3.4.1 Dark current noise

36

Dark current noise is present in the receiver as the continuous current flow even when there is

no any incident light. Dark current does not depend on the optical signal. Dark current noise is

given as,

𝑖𝑑2 = 2𝑞𝐼𝑑𝐵

Where q is charge on electron, B is bandwidth and 𝐼𝑑 is dark current. The value of dark

current noise is very less in silicon photo diodes.

3.4.2 Quantum noise

Quantum noise is produced by the random arrival rate of photons known as quantum nature of

photons and this noise is signal dependant noise. The noise is in directly proportion with the

amount of light incident. Quantum noise is given as,

𝑖𝑞2 = 2𝑞𝐼𝑝𝐵

Where 𝐼𝑝 is the average current of diode because of the average incident optical power and B

is the noise bandwidth.

3.4.3 Thermal noise

Thermal noise is produced due to spontaneous fluctuation created by collision between free

electrons and vibrating ions in conductor. It affects more in resistors. Thermal noise is aroused

from photo detector as well as load resistors. Thermal noise is given as,

𝑒𝑇2 = 4𝑘𝑇𝐵𝑅

Where k is Boltzmann constant, R is resistor, B is bandwidth and T is the absolute

temperature.

As shown in the equation, the light incident on the detector must be reduced for

more reduction in induced noise. Very narrow band pass filters are used to select the

wavelength of a laser diode and then reduce the ambient light, which is generated by the

fluorescent, incandescent lamps and sunlight. So, using this filters noise can be effectively

reduced [23].

3.5 Pre-amplifier

The signal is received and converted into photo current by the photo detector, but it

suffers from attenuation and its amplitude becomes very low. So, some kind of amplification

is required there. Pre-amplifier is of 3 main types,

Low-impedance amplifier

High- impedance amplifier

Trans- impedance amplifier

37

While choosing which amplifier to use, there are mainly 3 parameters to be known are noise,

bandwidth and sensitivity. And load resistance plays an important role in setting these 3

parameters [19].

Noise is receiver is inversely proportioned to the load resistance (RL) of the circuit. Thermal

noise N,

𝑁 𝞪 𝟏

𝑹𝑳

Bandwidth of the receiver is also inversely proportioned to the load resistance (R L).

Bandwidth B,

𝑩 𝞪 𝟏

𝑹𝑳

Sensitivity of the receiver circuit is directly proportioned to the load resistance (RL).

Sensitivity S,

𝑺 𝞪 𝑹𝑳

So, we can say that to keep thermal noise low, we must keep load resistance high. But, with

high load, bandwidth decreases. In short, there is trade-off between bandwidth and noise,

sensitivity [20].

3.5.1 Low impedance pre-amplifier As name suggests, this amplifier has very low impedance.

Figure 3.7 Low impedance circuits

As there is low impedance, and bandwidth is inversely proportional to load resistance, we can

get higher bandwidth at low impedance. But, this advantage is hindered by the noise and

sensitivity of the circuit. Because at low impedance noise is very high and sensitivity is low,

which is not tolerable [21]. So, there is trade-off between sensitivity and bandwidth.

3.5.2 High impedance pre-amplifier

This amplifier is with very high impedance. This amplifier has the same circuit diagram as of

low-impedance with one change of load impedance. In this case, because of high impedance,

there is very low noise as well as good sensitivity [21]. But bandwidth is low. So, this pre-

amplifier is used at narrow-band, not at wide-band.

38

3.5.3 Trans impedance pre-amplifier

This amplifier use feedback resistor as shown in figure.

Figure 3.8 Trans Impedance circuits

Trans-impedance amplifier is mostly used where more bandwidth as well as more sensitivity

is required [21].

3.5.4 Selection of pre-amplifier

In conclusion, it can be said that low impedance amplifier is not much used, because it causes

high noise and low sensitivity. Then high-impedance amplifier is used for only narrow band

application, it cannot be used at wide band. Where, the most widely used pre-amplifier is

trans-impedance amplifier, as it provides more sensitivity at more bandwidth [22].

3.6 Decision circuitry

Figure 3.9 Decision Circuitry

In the receiver, after photo diode and pre-amplifier, there is binary decision circuit.

This circuit is controlled by mainly a threshold value. This decision circuit compares the

sample value with the threshold value, and accordingly, it decides the perfect value, which

was transmitted [18]. The comparison is triggered using a clock signal to synchronize. In

order to improve the performance of the receiver, some other circuits like, forward error

correction, adaptive equalizers are also used. And after signal is detected, further signal

processing circuitry is also connected to receiver.

39

Chapter 4

Channel Model

4.1 Introduction to channel parameters

4.1.1 Atmospheric Turbulence

The main purpose In FSO channel model, the most important factor is environment

and major impairments due to atmospheric effects. There are many losses like free space loss

exponent, clear air absorption, scattering, refraction and reflections considered as atmospheric

losses. Now, the refractive index at every different point in environment will vary because of

temperature and pressure fluctuation will be different at different points, this will

result in atmospheric turbulence. This atmospheric turbulence is responsible for scintillation

or signal fading, which is irradiance fluctuation in received signal. The effect of scintillation

will degrade the performance of overall established link, which will finally increase bit error

rate for same signal to noise ratio over the optical link.

In order to understand the overall effect on BER due to atmospheric turbulence, it is

important to describe the power spectrum of atmospheric turbulence in its mathematical

model. That is derived using Kalmogorov theory as,

Øn κ =0.033Cn 2 κ-

11

3 , where 1

L0

≪κ≪1

l0

Where L0 and l0 are large and small eddy size of 10-100 m and 1 cm, respectively, 𝐶𝑛 2

is the refractive index structure parameter that gives the spatial frequency and it depends upon

the geographical location, altitude and time of day. Values of 𝐶𝑛 2 for different turbulence

levels like weak turbulence, moderate turbulence and strong turbulence:

𝐶𝑛 2 = 10-17 m-2/3 for weak turbulence

= 10-15 m-2/3 for moderate turbulence

= 10-13 m-2/3 for strong turbulence

Refractive index structure parameter is almost constant for horizontal path

propagation. But in vertical path propagation, temperature gradient is different at different

altitude and that‘s why refractive index structure parameter varies w ith altitude. Now, when

we want to measure Refractive index structure parameter for slant edge, we have to consider

vertical propagation and that is why it is very difficult to measure it for slant edge. There are

some models like SLC-Day model, clear 1 model, Hufnagel Valley Boundary (HVB) model,

PAMELA model, Greenwood model, HV-Night model and Gurvich model, which give

refractive index structure parameter for slant edges. But as a special case of ground to satellite

communication for uplink the data, there are large variations in the atmospheric conditions. In

40

these conditions, Hufnagel Valley Boundary (HVB) model gives the best performance. So,

model should be chosen according to application.

The mathematical model of HVB is as shown below,

𝐶𝑛2 𝑕 = 𝑎1

𝑉

27

2

𝑕

𝑠1

10

exp −𝑕

𝑠1 + 𝑎2 exp −

𝑕

𝑠2 + 𝐶𝑛

2 0 exp −𝑕

𝑠3

Where a1= 5.94 x 10-23, a2= 2.7 x 10-16, s1=1000 m, s2= 1500 m, s3= 100 m and h is

altitude (m), V is the root mean square wind speed in m/s which controls high altitude

turbulence strength at ground level. The refractive index structure parameter versus the

altitude, h has been shown in Fig. 1 for HVB-21 model with V= 21 m/s. For different values

of 𝐶𝑛 2 (0), 𝐶𝑛

2 decreases with increasing height and is nearly independent of 𝐶𝑛 2 (0) when

altitude is greater than 1 km.

Figure 4.1 HVB–21 Models

4.1.2 Scintillation Index

An optical wave that is propagating through the atmosphere will experience irradiance

fluctuations, or scintillation. Scintillation is caused by small temperature variations in the

atmosphere, which results in index of refraction fluctuations. Theoretical and experimental

studies of irradiance fluctuations generally center on the scintillation which is defined by, S

Here I denote irradiance that is the received intensity of the optical field after passing

it through turbulent medium. Now from this value of S, turbulence can be identified as strong

or weak. As shown in equation, S is basically ratio of standard deviation to mean of

irradiance. Now if S is exactly 1, that means mean is equal to standard deviation, in this case

the effect of turbulence is so high, so fluctuations are very frequent such that deviation is

equal to the mean value of signal, so in this case there is strong turbulence. On the other hand,

if S is less than 0.75, in that case deviation in signal or fluctuations in the signal is less than

41

its average value, so the effect of turbulence is less in this case than before one, so here is

weak turbulence.

4.2 Various Channel models

Various channel models are proposed for different conditions of atmospheric

turbulence like strong and weak turbulence. There are basic four models lognormal channel

model, gamma-gamma channel model, K – distribution channel model and I-K distribution

channel model. For an example, Kiasaleh has proposed the channel model with fading of

lognormal distribution and Al-Habash has given on gamma-gamma distribution channel

model.

The statistical channel model is given by [24],

y = sx + n = ηIx + n

Where s = ηI denotes the instantaneous intensity gain, x ∈ {0, 1} the OOK modulated

signal, n ∼ N (0,N0/2) the white Gaussian noise with mean 0 and variance N0/2 because of random nature of electrons at receiver electronic circuitry, η the effective photo-current

conversion ratio of the receiver and I the irradiance. Where η is defined by,

𝜂 = 𝛾𝑒𝜆

𝑕𝑝𝑐

Where 𝛾 is the quantum efficiency of the photo receiver, e the electron charge, λ the

signal wavelength, 𝑕𝑝 Plank‘s constant and c is the speed of light. And definition of I will

change according to models.

4.2.1 Lognormal channel model

A. With perfect channel state information (CSI) at receiver

As it is mentioned earlier that I depends on channel models, in lognormal channel

model, I is

𝐼 = 𝑒2𝑧

Where, Z is the Gaussian distribution with Mean 0 and variance σ2. So, I will follow

log-normal distribution with mean 𝑒2𝜍2and variance 𝑒4𝜍2

(𝑒4𝜍2− 1) [25].

Now finding Signal to Noise ratio (SNR) from all above equation, it should be

η2*E[I]2/N0, but using somewhat different definition of SNR, we are taking formula

as,

𝑆𝑁𝑅 = 𝜂2 ∗ E 𝐼2 ∗ E 𝑋2

N0

42

Now calculating error probability for this model using power series approach,

Pe,L(ϒg,σx)=1

2−

1

𝜋𝑒

σx

2 (−1)𝑘ϒg(2k+1) 2

2 2𝑘+1 2 2𝑘+1 𝑘 !exp(

4𝑘+1 σx

2)2∞

𝑘=0

Where Pe,L is bit error rate probability which is a function of ϒg (signal to noise ration)

and σx (fading intensity).SNR can be calculated by 4 𝑅2𝑃2

(𝜍1+𝜍0)2.Where, R is responsivity

of receiver, P is transmitted power and σ1 and σ0 are standard deviation of noise

currents for symbols ‗1‘ and ‗0‘.

As the channel coefficients h at different times are independent identical variable, than

according to moment-generating function (MFG) the variance of h can be calculated

as,

𝐸 𝑕 = 𝑒 2𝜇+2𝜍2

σI2 = 𝐸 𝑕2 − 𝐸[𝑕]2 = 𝑒 4𝜇 +4𝜍2 (𝑒4𝜍2

− 1)

𝜇 = 𝜇1 − 1− 𝜍2

Where, μ and σ are mean and standard deviation of random variable x at transmitter

and 𝜇1 is mean of channel due to scintillation [25].

Now if y = hx+n, and power of x is Es, then signal power = E[hx]2 = E[h]2*Es, but transmitted power is Es. And channel can‘t add or abstract power, so transmitted

power is equal to received power. So, E[h]2 is equal to 1. Same will be the case here

with channel fading due to scintillation taking as h. So, μ 1 = 1.

𝜇 = −𝜍2. Finally, σI2=(𝑒4𝜍2

− 1).

Below is the graph of BER v/s SNR for different value of σ.

Figure 4.2 Performance of perfect CSI at receiver for log-normal channel model

43

Using all above equations [25], we can convert the value of SNR in terms of h,

SNR = 4 𝑕2𝑅2𝑃2

(𝜍1+𝜍0)2

B. With imperfect channel state information (CSI) at receiver

Using the last equation of SNR from above study, we can find the BER performance

using the imperfect channel knowledge at receiver [25].

Gauss-Markov Model is described as,

h1=𝛿𝑕 + 1 − 𝛿2𝑤

So, using h1 instead of h in BER equation, we have got comparison of with CSI and

without CSI as below,

Figure 4.3 Performance of imperfect CSI at receiver for log-normal channel model

4.2.2 Gamma-Gamma Channel model

For weak to strong turbulence channel, the Gamma-Gamma model is used, which is

proposed by Andrews using modified Rytov theory and gamma-gamma power density

function (pdf) as a useful mathematical model for atmospheric turbulence. And this pdf of

irradiance is given by,

𝑃 𝐼 = 2(𝛼𝛽)(𝛼+𝛽)/2

𝛤(𝛼)𝛤(𝛽)𝐼

(𝛼+𝛽)2

−1𝐾 𝛼−𝛽 2 𝛼𝛽𝐼 ; 𝐼 > 0

44

Where Ka(.) is the modified Bessel function of second kind of order a. α and 𝛽 are the

effective number of small scale and large scale eddies of the scattering environment. Modified

Rytov theory defines the optical field as a function of perturbations which are due to large

scale and small scale atmospheric effects [24].

Now from this result, we can find the BER performance of scheme as,

Pb=1

𝜋

𝐷6(𝜃)

(1−2𝐷2 𝜃 )2𝑑𝜃𝜋 2

0

Where D(θ) is given by

D(θ)=2𝛼−𝛽+4

4 𝑐1 𝑐2

𝛼

𝛼−𝛽

2(𝑠𝑖𝑛𝜃

𝜏)𝛼+𝛽

2 Kα-β(25

4 𝑐2 𝛼 𝑠𝑖𝑛𝜃

𝜏)

Where c1= 𝜋𝛼𝛼 𝛽𝛽

𝛤 𝛼 𝛤(𝛽+1

2)

c2=𝛽( 𝛽 −1

2+

1

16(𝛽 −

1

2)−

3

2 )

‗

In above equation, α and β are the effective number of small scale and large scale eddies of

the scattering environment and can be calculated as [24],

𝛼 = exp 0.49𝜒2

(1 + 0.18𝑑2 + 0.56𝜒12/5)7/6 − 1

−1

𝛽 = exp 0.51𝜒2(1 + 0.69𝜒12/5)−5/6

(1 + 0.9𝑑2 + 0.62𝑑2𝜒12/5)5/6 − 1

−1

And finally BER v/s SNR is plotted as,

45

Figure 4.4 Performance of Gamma-Gamma channel model

4.2.3 Negative Exponential model

In case of strong turbulences, there are more irradiance fluctuations. Where link length

spans several kilometers, number of independent scatter become large [27]. Signal amplitude

follows a Rayleigh fading distribution which in turn leads to a negative exponential statistics

for the signal intensity. Signal Intensity 𝑃(𝐼) is given as,

𝑃(𝐼) = 1

𝐼0exp −

1

𝐼0 ; 𝑤𝑕𝑒𝑟𝑒 𝐼 > 0

Where 𝐼0 is mean radiance of channel.

4.2.4 K Channel model

For strong turbulence channels, where Scintillation Index is nearly 1, that is standard

deviation is equal to average value of the signal and the value of log intensity variance is

between 3 and 4, the intensity statistics are given by the K distribution. The K turbulence

model can be considered as a combination of 2 different models exponential distribution and

gamma distribution. We got excellent similarity between theoretical and experimental values

using this model [30]. The K distribution channel model can be derived from a modulation

process wherein the conditional probability density function of irradiance, 𝐼 is governed by

the negative exponential distribution,

𝑓 𝐼𝜇

𝐼

𝜇 =

1

𝜇exp −

1

𝜇 ; 𝑤𝑕𝑒𝑟𝑒 𝐼 > 0

Here, 𝜇 is mean irradiance and it follows the gamma distribution.

46

𝑓𝜇 𝜇 = 𝛼𝛼𝜇𝛼−1

𝛤(𝛼)exp −𝛼𝜇 ; 𝑤𝑕𝑒𝑟𝑒 𝜇 > 0

Where, 𝛤() is gamma function defined as, 𝛤 𝛼 = 𝑒−𝑡𝑡𝛼−1𝑑𝑡∞

0, and α is a channel

parameter related to effective number of discrete scatters. The unconditional distribution for

irradiance is given as,

𝑃𝐼 𝐼 = 𝑓 𝐼𝜇

𝐼

𝜇

∞

0

∗ 𝑓𝜇 𝜇 𝑑𝐼

This integration results as,

𝑃𝐼 𝐼 = 2𝛼𝛼+1

2

𝛤(𝛼)

𝐼𝛼+1

2

𝜉𝛼+1

4𝐾𝛼−1 2 𝛼𝐼

Using a simple transformation, the pdf of instantaneous SNR can be given as,

𝑃𝛾 𝛾 = 𝛼𝛼+1

2

𝛤(𝛼)

𝛾𝛼−3

4

𝜉𝛼+1

4𝐾𝛼−1 2 𝛼

𝛾

𝜉

Where, Kν() is the modified Bessel function of the second kind of order ν. ξ is average

electrical SNR at the receiver. Which is given by ξ=(𝜂𝐸[𝐼])2 𝑁0 . As the Bessel function is

denoted by K here, this channel model is known as K channel model.

The BER v/s SNR plot is given as below,

Figure 4.5 Performance of K channel model

The limitation of the K channel model is that it lacks the numerical computation in

much closed form, that‘s why I-K channel model is proposed [29].

47

4.2.5 I-K Channel model

This channel model is working in both scenarios- weak turbulence and strong turbulence.

Moreover it has less computation complexity than gamma-gamma channel model. So, this

channel model is preferred over others [28].

The pdf of normalized signal irradiance 𝐼 is given as,

𝑃𝐼 𝐼 =

2𝛼 1 + 𝜌

1+𝜌

𝜌

𝛼−1

2 × 𝐾 𝛼−1 2 𝛼𝜌 ×

𝐼 𝛼−1 2 𝛼 1 + 𝜌 𝐼 ; 𝑓𝑜𝑟 𝐼 <𝜌

1+𝜌

2𝛼 1 + 𝜌 1+𝜌

𝜌

𝛼−1

2 × 𝐼 𝛼−1 2 𝛼𝜌 ×

𝐾 𝛼−1 2 𝛼 1 + 𝜌 𝐼 ; 𝑓𝑜𝑟 𝐼 >𝜌

1+𝜌

Where, 𝐼 𝑣() is modified Bessel function of first kind of order ν, Kν() is the modified

Bessel function of the second kind of order ν, α and 𝜌 are channel parameters related to

effective number of discrete scatters and coherence parameters, respectively [27].

Again using a simple transformation, SNR is obtained as,

𝑃𝛾 𝛾 =

2𝛼 1 + 𝜌

1+𝜌

𝜌

𝛼−1

2 𝛾𝛼−3

4

𝜉𝛼+1

4 𝐾 𝛼−1 2 𝛼𝜌 ×

𝐼 𝛼−1 2 𝛼 1 + 𝜌 𝛾

𝜉 ; 𝑓𝑜𝑟 𝛾 <

𝜌2𝜉

(1+𝜌)2

2𝛼 1 + 𝜌 1+𝜌

𝜌

𝛼−1

2 𝛾𝛼−3

4

𝜉𝛼+1

4

𝐼 𝛼−1 2 𝛼𝜌 ×

𝐾 𝛼−1 2 𝛼 1 + 𝜌 𝛾

𝜉 ; 𝑓𝑜𝑟 𝛾 >

𝜌2𝜉

(1+𝜌)2

Now from the equation of channel capacity, 𝐶 = 𝐵× log2(1 + 𝑆𝑁𝑅), we have pdf of

capacity, C as following,

48

𝑃𝐶 𝐶 =

2𝐶 𝐵+1 𝑙𝑛 (2)

𝐵𝛼−1 1 + 𝜌

1+𝜌

𝜌

𝛼−1

2 (2𝐶 𝐵 −1)

𝛼−34

𝜉𝛼+1

4 𝐾 𝛼−1 2 𝛼𝜌 ×

𝐼 𝛼−1 2 𝛼 1 + 𝜌 2𝐶 𝐵 −1

𝜉 𝑓𝑜𝑟 𝐶 < 𝐵 log2

1+𝜌2𝜉

(1+𝜌 )2

2𝐶 𝐵+1 𝑙𝑛 (2)

𝐵𝛼−1 1 + 𝜌 1+𝜌

𝜌

𝛼−1

2 (2𝐶 𝐵 −1)

𝛼−34

𝜉𝛼+1

4 𝐼 𝛼−1 2 𝛼𝜌 ×

𝐾 𝛼−1 2 𝛼 1 + 𝜌 2𝐶 𝐵 −1

𝜉 𝑓𝑜𝑟 𝐶 > 𝐵 𝑙𝑜𝑔2

1+𝜌2𝜉

(1+𝜌 )2

Now, outage probability, r is defined as, 𝑟 = 𝑃𝐶 𝐶 𝑑𝐶𝐶𝑜𝑢𝑡

0.

So, pdf of outage can be written as,

𝑟 =

2 𝛼𝜌

1+𝜌

𝜌

𝛼

2 (2𝐶𝑜𝑢𝑡 𝐵 −1)𝛼4

𝜉 𝐾 𝛼−1 2 𝛼𝜌 ×

𝐼 𝛼 2 𝛼 1 + 𝜌 2𝐶𝑜𝑢𝑡 𝐵 −1

𝜉 ; 𝐶𝑜𝑢𝑡 < 𝐵 log2

1+𝜌2𝜉

(1+𝜌)2

1− 2 𝛼(1 + 𝜌) 1+𝜌

𝜌

𝛼−1

2 (2𝐶𝑜𝑢𝑡 𝐵 −1)𝛼4

𝜉 𝐼 𝛼−1 2 𝛼𝜌 ×

𝐾−𝛼 2 𝛼 1 + 𝜌 2𝐶𝑜𝑢𝑡 𝐵 −1

𝜉 ; 𝐶𝑜𝑢𝑡 > 𝐵 𝑙𝑜𝑔2

1+𝜌2𝜉

(1+𝜌 )2

The following shows the result of BER v/s SNR for I-K channel model,

Figure 4.6 Performance of I-K channel model

49

4.3 Comparison of Channel models

Lognormal channel model is used in weak turbulence scenario and key factor is Sigma(x).

Gamma-Gamma channel model is used in weak to strong turbulence scenario and key

factor is Alpha and Beta.

K channel model is used in strong turbulence scenario and key factor is Beta.

I-K channel model is used in strong turbulence scenario and key factor is Raw.

50

Chapter 5

FSO link design

5.1 Objectives of this Project

Design a moderate speed FSO data link with transfer rates up to 100 Kbps.

Operating distances 200 to 300mts.

Much Cheaper as compared to the commercially available equipment. The estimated basic

design cost was around Rs 3000/-. A commercial 850-nm transceiver for a 10-100-Mb/s

unit spanning a few hundred meters can cost as much as $5000.

Design using readily available, cheap and indigenous components instead of expensive, specialized components.

Excellent up-time and good reliability.

Compact & Easy to install Hardware. The hardware was intended to be transparent to existing software platforms.

Very less setup times.

Provide an excellent platform for design and testing of more advanced FSO projects and communication protocols.

5.2 Design Specifications

The following table shows the specifications like maximum range, data rate, mode of

communication, the interface with computer, and specification of lasers like wavelength, laser

power, class of laser and power requirements.

Maximum Range 10 centimeters (due to visible light laser used)

Data rate 100 Kbps or higher

Mode Full Duplex

Computer interface COM Port RS232 (Serial port)

Laser beam Modulation On-Off Keying

Laser wavelength 670 nm

Laser power < 5mW peak pulse power

< 1mW average power

Laser Class Class II

Power requirements 9 to 12 V DC @ 60 mA

Table 5.1 project design specifications

51

The following table shows the electrical characteristic of BPW-34

Min. Typ. Max. Unit

Reverse Breakdown Voltage V(BR) 60 V

Reverse Dark Current Iro 2 30 nA

Rev. Light Current Ira 75 uA

Half Angle ±65 deg

Peak Wavelength 900 nm

Spectral Bandwidth 600-1050 nm

Rise & Fall Time 100/100 uS

Table 5.2 electrical characteristic of BPW-34

5.3 Circuit description

Figure 5.1 Block Diagram of Transceiver Circuit

Almost all digital devices which we are using today require either TTL or CMOS logic

levels. Therefore the first step to connecting a device to the RS-232 port is to transform the

RS-232 levels back into 0 and 5 Volts by RS-232 Level Converters.

Two common RS-232 Level Converters are the 1488 RS-232 Driver and the 1489 RS-

232 Receiver and each package contains 4 inverters of the one type, either Drivers or

Receivers. The driver requires two supply voltages, +7.5 to +15v and -7.5 to -15v.

The transceiver is based on the MAX232A IC for transmitting and receiving RS-232

compatible voltage signals. The MAX232A generates +10V and -10V voltage swings using a

dual charge-pump voltage converter from a single +5VDC voltage. This IC includes two

receivers and two transmitters in the same package in order to make it full duplex. The

52

MAX232A version requires only 0.1uF capacitors for the charge-pump and inverter, whereas

the MAX232 requires 1uF capacitors for the same. So, the advantage of the A version is that it

has faster response times, and allows for faster data rates.

The laser diode driver consists of a 7405 open-collector hex inverter IC to convert it to

5V DC and all the outputs of the inverters are coupled together to provide enough drive

current for the laser diode which draws around 35mA @ 3V. The two 1N4001 diodes, in

series with the laser diode, step down the voltage from +5VDC to around 3.6VDC which is

close to the nominal voltage for the laser diode to drive it.

The receiving sensor is a PIN Infrared photo-diode numbered BPW-34, which has a

very wide spectral bandwidth from 600nm to 1050 nm. The signal from the photo-diode is

amplified by the Non-inverting OPAMP amplifier 741. The gain of the amplifier is set to 10

by fixing the resistance ratio of 10:1. This amplifier serves 2 purposes: One it acts as a high

impedance buffer to the output of the photodiode as this is needed since the photodiode cannot

source more than a few microamperes of current and secondly the range of voltage variation

between the light and dark condition at the output of the photo-diode was very small and had

to be amplified to digital levels. The output of the OPAMP is then buffered via a pair of

Schmitt trigger buffers to clean up and square the signal or sharp that signal. The output of the

second buffer is then directly converted to a RS-232 standard signal using the MAX232A.

The transceiver is designed in such a way that when no signal is present, at that time

the laser is on. This helps to see where the laser is pointing during the laser-detector alignment

or not. The transceiver is powered by a 9V DC battery and draws 80mA (laser on) and 40mA

(laser off).

Figure 5.2 photograph of circuit board

53

5.4 Scope

Due to financial constraints we have implemented this technology at an elementary level.

Availability of more funds will help us implement the circuit for higher speeds of the

order higher Kbps to Mbps and also widen its communication range from meters to

kilometers.

The system implemented is basically a ‗one to one‘ bi-directional communication system.

It can be modified into ‗one to many‘ multichannel system.

One of the limitations of the above system is that it is not able to operate with efficiency in

presence of fog, heavy rain or snow. This limitation can be overcome by implementing the

several techniques mentioned previously for dealing with environmental factors.

When line of sight communication is not possible then the system can be implemented by the use of reflection and deviation mirrors.

5.5 Result of the project

A circuit of laser transceiver has been successfully implemented.

System has been tested to transfer rates up to 100 Kbps.

The laser link works up to a distance of 10 centimeters (As laser costs near Rs. 3000, we have used a low cost laser for just testing purpose of the circuit. So, we are getting very

less distance.)

Character transfer has been successfully run using HyperTerminal.

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Conclusion

In nearby future, FSO will become important and necessary medium of information exchange

due to its advantages over fiber optics communication. Proper low cost design of transmitters is a

viable and better option to prevent trenching and sunken cost of fiber optics. For this project in

particular, the FSO transceiver was designed using red laser diode and tested for 1 kbps data transfer

in laboratory conditions. The range extension can be done by the use of higher power infrared laser

diodes. All the theoretical aspects for transmitter, receiver as well as modulation techniques to be

used were studied and design issues arising were discussed. The channel models for the free space

optic link were studied in detail and imperfect CSI model added. The simulations for all present day

models were carried out using Matlab and the results presented. Thus, a low cost prototype for free

space optical communication was designed.

55

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