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1 Engineering Electronic Department Technical University of Catalonia, UPC Campus Terrassa, SPAIN Lecturer: Dr. Luis Romeral

Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

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Page 1: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

1

Engineering Electronic Department

Technical University of Catalonia, UPC Campus Terrassa, SPAIN

Lecturer: Dr. Luis Romeral

Page 2: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

2

Outline Block 1: Data Acquisition Systems

Subject 1.- TRANSDUCERS SIGNALS AND SIGNALS CONDITIONING. INTRODUCTION

- Data Acquisition System Concept: Block Diagram

- Sensor definition. General Structure of a Sensor

- Sensors Classification

- General Characteristics of the Sensors

- Measurement errors

Subject 2.- REVIEW OF SIGNAL CONDITIONING - Operational Amplifier

- Active and passive transducer connections

- Instrumentation Amplifiers

- Isolated Amplifiers

- Analogue Filters

Subject 3.- AD & DA CONVERSION

- Digital to Analogue Conversion: Parameters

- Analogue to Digital Conversion: types of converters

- AD Converters specifications and errors

- Data Acquisition Systems

Page 3: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

3

Engineering Electronic Department

Technical University of Catalonia, UPC Campus Terrassa, SPAIN

Lecturer: Dr. Luis Romeral

Page 4: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

4

Control System

Device or Equipment dedicated to command the value of a physical

magnitude as a function of a control signal called Reference or Set-

Value

1 4 9

REFERENCE

CONTROLLER POWER

SYSTEM CONTROLLED

PLANT

Output Signals

Energy

Transducers Signal

Conditioning INTERFACES

x(t)

y(t)

Closed Loop

Feed-back signals

Sensor

Sensors are the natural inputs to a measurement system, producing electrical

signals that directly interface to the signal - conditioning element.

Page 5: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

5

Control System

Device or Equipment dedicated to command the value of a physical

magnitude as a function of a control signal called Reference or Set-

Value

1 4 9

REFERENCE

CONTROLLER POWER

SYSTEM CONTROLLED

PLANT

Output Signals

Energy

Transducers Signal

Conditioning INTERFACES

x(t)

y(t)

Measurements: Log – in

Supervision

Historical Data

Trend Management

Open Loop

Data Acquisition System:

products and / or processes used

to collect information to document

or analyze some phenomenon

Page 6: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

6

Data Acquisition System Block Diagram

The picture shows the steps needed to take a physical variable and make it usable by a computer

Page 7: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

7

Data Acquisition System: Smart Sensors

Some current complex sensors accept changing sensor characteristics by programming

internal parameters in a microprocessor built into the sensor. In this way, the usability of

the sensor can be extended to a wide range of applications

Page 8: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

8

Process of continuous signals

Data Acquisition System

Analogue Digital CPU

Page 9: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

9

Transducers: convert the physical processes to electrical signals

Examples:

• Temperature

• Pressure

• Light

• Force

Data Acquisition System

• Displacement

• Level

• Electric signals

• ON/OFF switch

Page 10: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

10

Data Acquisition System

Signal conditioning: Electrical signals are conditioned so they can be used by an analog input

board. The following features may be available:

• Amplification

• Isolation and buffering

• Linearization

• BandwidthLimiting

Analog multiplexer: Allow multiple analog inputs, each with its

own conditioning for different transducers.

The multiplexer channel is selected by the CPU generating an

address on the multiplexer select lines

Sample-and-hold :

The A/D converter requires a small but significant amount of time to convert.

If the analog signal changes during this time, errors may be introduced.

The sample-and-hold reduces these errors by quickly sampling the signal and holding it

steady while the A/D converts it.

Analog to Digital Converter : Converts an analogue signal taken in the plant to a digital value.

Characteristics of the ADC are:

• Input signal type

• Sampling rate

• Throughput

• Resolution

• Range

• Gain

Page 11: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

11

Sensors: The First Stage in the Measurement Chain

Formula One race cars now have over 150 sensors (exhaust gases, temperature, accelerometers,..)

that communicate via wireless telemetry to the engineering team; these can be sampled up to

1,000 times each second, which can create as much as 2 Mb of data per lap of the race track.

Sensors versus Transducers:

These two terms are regularly interchanged because they identify the same thing — almost.

A transducer changes one form of energy to another, whereas a sensor produces an

electrical output regardless of the energy input. That is, sensors are a subset of transducers.

A voice coil speaker, for example, is a transducer because it converts electrical energy to mechanical

displacement. In comparison, the piezoelectric element found in one type of accelerometer is a

sensor because applied mechanical force creates an electrical output.

Page 12: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

12

Sensor definition

A sensor is a physical device that detects, or senses, a signal or physical condition.

Sensors are usually paired with an indicator (perhaps indirectly through an analog to

digital converter, a computer and a display) so that the value sensed becomes human

readable or useful for control purposes.

Aside from other applications, sensors are heavily used in industry and aeronautics.

The basic function of an electronic sensor is to measure some feature of the world,

such as light , sound, or pressure and convert that measurement into an electrical

signal, usually a voltage or current.

.

Time

Pre

ssu

re

Time V

olt

ag

e

The sensor converts a physical condition to electrical signal

Page 13: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

13

General Sensors Types

There are two basic types of sensors: analog and digital.

Analog sensor:

They produce a continuously varying output value over its range of measurement.

For example, a particular photocell might have a resistance of 1k ohm in bright light and a resistance of

300k ohm in complete darkness, and any value between these two is possible.

Digital sensors, on the other hand, have only a finite number of states:

ON - OFF Sensors: The simplest digital sensor has two states, often called "on" and "off,“ and it only

indicates the pass of a certain threshold or limit in the variable.

On/Off sensors are designed for simple, switching applications

DIGITAL Sensors:

These sensors give a signal coded either in form of pulses or in binary code. They produce

pulse trains of transitions between the 0 volt state and the 5 volt state.

With these sensors, the actual element of measuring is an analog device, but signal-processing circuitry

that is integral to the sensor produces a digital output.

The frequency characteristics or shape of this pulse train convey the sensor's measurement.

Page 14: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

14

General Structure of an Industrial Sensor

- TRANSDUCER: A transducer is a device, usually electrical or electronic, that

converts one type of energy to another. Most transducers give at the output an

electrical signal

- SIGNAL CONDITIONING: Signal conditioning occurs in the interface between

the transducers and the electrical circuit. A low-level signal amplifier and a low-

pass filter are common signal conditioners after the input transducer. The output

signal is usually conditioned by a low-pass filter and some type of power amplifier.

- OUTPUT STAGE: They are switches, power amplifiers, converters or transmitters

that commute or transmit the signal to the external load

Transducer Signal

Conditioning

Output

Amplifier

Page 15: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

15

Transducers

- Passive Transducers: They require an external electrical source for their

operation.

They are based on the modification of a variable parameter (resistance, capacity or inductance)

that causes changes in the allotment of voltages, which are read by the electronic circuit of

Signal Conditioning.

- Active Transducers: They generate an electrical voltage, based in general on

some of the following priciples:

- Electromagnetism (Electromagnetic induction is the production of an electrical

potential difference (or voltage) across a conductor situated in a changing

magnetic flux

- Piezo - Electricity (Piezoelectricity is the ability of certain crystals to generate a

voltage in response to applied mechanical stress)

- Photo voltaic ( The photoelectric effect is the emission of electrons from matter

upon the absorption of electromagnetic radiation, such as ultraviolet

radiation or x – rays)

- Thermoelectricity (Thermoelectricity is the conversion from temperature

differentials to electricity or vice versa)

Page 16: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

16

- OUTPUT SIGNAL TYPE

- On-Off

- Digital

- Analogue

Sensors Classification

Some different sensors classifications can be made according the transducer

application, transducer type,.. For instance, we can classify sensors by

- TYPE OF TRANSDUCER

- Electromagnetics

- Ultrasonics

- Resistance,

- Thermoelectricity,.., ...

- APPLICATION

- Presence sensors

- Distance sensors

- Speed Sensors

- Flow sensors,

- Motion sensors

- Acoustic sensors, ....

Page 17: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

17

Sensors Classification

Since a significant change involves an exchange of energy, sensors can be

classified according to the type of energy transfer that they detect:

- Thermal energy

• temperature sensors: thermocouples, temperature sensitive resistors

(thermistors), bi-metal thermometers and thermostats

• heat sensors: bolometer, calorimeter

- Electromagnetic sensors

• electrical resistance sensors: ohmmeter, multimeter

• electrical current sensors: galvanometer, ammeter

• electrical voltage sensors: leaf electroscope, voltmeter

• electrical power sensors: watt-hour meters

• magnetism sensors: magnetic compass, Hall effect device, magnetometer,

- Mechanical sensors

• pressure sensors: barometer, barograph, pressure gauge, air speed

indicator, rate of climb indicator,

• gas and liquid flow sensors: flow sensor, anemometer, flow meter, gas

meter, water meter, mass flow sensor

• mechanical sensors: position sensor, selsyn, switch, strain gauge

Page 18: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

18

Sensors Classification

- Chemical sensors

Chemical sensors detect the presence of specific chemicals. Examples are

oxygen sensors, also known as lambda sensors, ion-selective

electrodes, pH glass electrodes, and redox electrodes.

- Optical and radiation sensors

• Electromagnetic time-of-flight. Generate an electromagnetic impulse,

broadcast it, then measure the time a reflected pulse takes to return.

Commonly known as - RADAR (Radio Detection And Ranging)

• Acoustic sensors are a special case in that a pressure transducer is used

to generate a compression wave in a fluid medium (air or water)

• Light time-of-flight. A short pulse of light is emitted and returned by a

retroreflector. The return time of the pulse is proportional to the

distance and is related to atmospheric density in a predictable way.

- Non ionizing radiation

• Light sensors: photocells, photodiodes, phototransistors, photo-electric

tubes, CCDs, Nichols radiometer, Image sensor

• Proximity sensor- A less sophisticated distance sensor. Only detects a

specific proximity. May be optical - combination of a photocell and

LED or laser. May employ a magnet and a Hall effect device.

Page 19: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

19

Flight Control Equipment:

Sensors/Actuators Products

• Throttle Actuator

• Primary Servoactuators

• Position Sensors

• Acceleration Sensors

• Angular Rate Sensors

Page 20: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

20

Sensors/Actuators Products

Sensors (transducers) for applications such as: Turbine Engine Test, Helicopter Health and

Usage Monitoring (HUMS), Ground Vibration Test, Flight Test, Wind Tunnel Test, Fuze Safe,

Low Outgassing, Pyroshock and Force Limited Vibration for spacecraft.

Usually operations are certified to AS9100 and ISO 9001, with calibration procedures

accredited by A2LA to ISO 17025. Products are manufactured to meet specific aerospace

environmental standards, such as RTCA-DO-160 (Environmental Conditions and Test

Procedures for Airborne Equipment) and MIL-STD-810 (Environmental Engineering

Considerations and Laboratory Tests, is a United States Military Standard).

Ground Testing of Aircraft & Defense Vehicles

Sensors for GVT (Ground Vibration Testing), modal

analysis, static load and fatigue testing, reliability and

functional testing, and acoustic testing and certification

Flight Test Sensors for Airborne Application

Sensors for helicopters, aircraft, UAVs and rockets to

measure engine vibration and pressure, flutter, buffeting,

HUMS, rotor track and balance, aerodynamic and inertial

loads, cabin and cockpit noise and ordnance launch

Page 21: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

21

The European Aviation Safety Authority (EASA) has been forced to change sensors of

angle of attack of about 3,000 Airbus A320 family and other 740 of the A330-A340, nearly

half of the 7,770 units of the world fleet of those models. It was due to a serious incident

suffered by a Lufthansa A321 on November 5, 2014, while flying from Bilbao to Munich

with 109 people on board.

Example of sensor: Angle of Attack Probe

The Angle of Attack (AoA) Probe provides AoA or

Sideslip (SS) by sensing the direction of local

airflow. It is mounted on the fuselage with the

sensing probe extending through the aircraft

fuselage. The sensing probe moves freely into

the airflow or it is continually driven to null

pressure difference al between the upper and

lower slots in its forward surface. These features

sense the direction of air stream flow (Local AoA

or SS). The angular positon of the sensing probe

is converted to an electrical output by an angular

sensor.

http://www.aerosonic.com/wp-content/uploads/2011/06/Sensors-201106.pdf

Page 22: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

22

The Circuit is a Pitot Tube that sticks out into the airstream and senses dynamic pressure.

There is also a static port that senses the pressure outside the aircraft

The airspeed indicator measures the difference between static and dynamic pressure and

displays the result as airspeed. This is called IAS, or Indicated air Speed. The other two

instruments, the Altimeter and the Vertical Speed Indicator, can derive their indications

solely from the static pressure.

Example of sensors: Pitot-Static Circuit

Combined instrument:

pitot tube (right) with a

static port and an

angle-of-attack vane

(left). Air-flow is right

to left.

Note: Look for the Air France Flight n. 447

Page 23: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

23

General Characteristics of the Sensors

The response of a real sensor is affected by non ideal behaviors that transform

the response into a curve or families of curves, even for sensors of the same type

and model. Then, a sensor characterization should be made.

The STATIC CHARACTERISTICS describe the performance of the sensor

with very slow/without changes of the variable to measure, under

nominal environmental conditions.

The DYNAMIC CHARACTERISTICS relate the answer of the sensor with

the variations of the magnitude to measure along the time.

The ELECTRIC CHARACTERISTICS define voltages, currents and

impedances of the sensor considered as a black box, from the point of view

of their electric connection to other equipments

Page 24: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

24

Static Characteristics

SPAN OR RANGE: The smallest and largest values of stimuli the sensor will

encounter. It can be:

Unidirectional:

Zero- fixed : 0 to 2.5 cm.

Shifted: 3 to 8 cm.

Bidirectional:

Symmetrical: -2.5 a 2.5 cm.

Asymmetrical : -2 to 10 cm.

RESOLUTION: The smallest increment of input stimulus that can be sensed

(e.g., the change of a single bit within an analog- to - digital

converter).

It can be given in absolute value of physical variable or per

cent of full scale output

ACCURACY: The deviation of the measured value — the output from the

sensor—from the true value of the measurand.

It is an indication of maximum error, and is given as absolute

value of physical variable or per cent of full scale output

Page 25: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

25

Static Characteristics

REPEATABILITY: Repeatability is the variation in measurements obtained

multiple measurements are took using the same sensor

and techniques and in the same environmental conditions

It is an indication of random error and is given as absolute

value of physical variable or per cent of full scale output

0 10 20 30 40 50 60 70 80 90 100

10

20

30

40

50

60

70

80

90

100

Measurement (% range)

Repeatibility (Precision)

Ou

tpu

t (%

EO

S)

Page 26: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

26

Static Characteristics

SENSITIVITY: The conversion efficiency of the sensor; the sensor gain of

output amplitude/input amplitude:

The higher the output increment regarding input

increment, the more sensitive the sensor

NOISE: Every value outside the realm of specificity (e.g., shot,

Johnson, or 1/f noise within a device), due to any random

perturbation on the sensor operation

THRESHOLD: The minimum and maximum input detection levels beyond

which the sensor produces no usable output.

SPECIFICITY: Selective conversion of the desired measurand a nd is

relative immunity to other measurands (e.g., a pressure

sensor's ability to reject temperature affects).

)(

)(

physicalVariableInput

electricalVariableOutputySensitivit

Page 27: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

27

Static Characteristics

Outp

ut

(%

EO

S

Linearity

LINEARITY: The proportionality of the sensor output to the measured input.

It gives the deviation margins regarding ideal outputs considering

full scale proportional system

It is given as per cent of full scale output

The sensor is linear if the proportionality constant is unique in the

full range of measurement

The Non- linearity gives the maximum deviation regarding ideal

linear characteristic at full scale range.

0 10 20 30 40 50 60 70 80 90 100

10

20

30

40

50

60

70

80

90

100

Measured Variable (% range)

1.1%

1.1%

Page 28: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

28

0 10 20 30 40 50 60 70 80 90 100

10

20

30

40

50

60

70

80

90

100

Measured Variable (% range)

Ideal Characteristic

0 10 20 30 40 50 60 70 80 90 100

10

20

30

40

50

60

70

80

90

100

Hysteresis

20 % FSO

Measured Variable (% range)

Hysteresis

HYSTERESIS: The sensor response dependence on previous inputs, the sensor

has a different transfer function for increasing input stimuli from

decreasing input stimuli.

The sensor has hysteresis when for the same input the output differs

depending on the variation of the input, increasing or decreasing.

It is given as absolute value of physical variable or per cent of full

scale output

Static Characteristics

Outp

ut

(% E

OS)

Outp

ut

(% E

OS

)

Page 29: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

29

STABILITY: The long-term behavior of the sensor (e.g. temperature drift, or the

change in a pressure sensor's output for changing temperature).

Stability is the ability of a sensor to reproduce output readings

obtained during its original calibration, at room conditions, for a

specified period of time. It is typically expressed as being within X

percent of full scale output or measured units for a period of Y months

Static Characteristics

Page 30: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

30

Dynamic Characteristics

FREQUENCY RESPONSE: It is the relationship between the ”GAIN” (Output variable/

input variable) and the FREQUENCY of the input signal,

assuming this is varying sinusoidally.

It is usually given as a graphic response A(db) = f(log F)

Frequency (Hz)

1000

750

500

250

10 100 1K 10K 100K

- 3 dB

Gain

Constant Gain

Bandwidth

Page 31: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

31

Dynamic Characteristics

TIME RESPONSE: It is the output sensor evolution regarding time, when the

input is a step signal.

The “Time Constant” is the time required for a sensor

to respond to 63.2% of a stepwise change in a measured

quantity

Initial value

100

90

80

70

60

50

40

30

20

10 5

98

95

63

Time Constant

Response to 95%

Response to 98%

Rising Time

Final Value

Time

Page 32: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

32

Dynamic Characteristics

TRANSFER FUNCTION: The transfer function T(s) is the ratio of the output function

Vo(s) to the input function Vi (s); where s is the complex

frequency variable.

First Order Systems: The sensor presents a simple delay. Example:

temperature sensors

Second Order Systems: The sensor presents an oscillating response.

Example: mechanical transducer using springs

Examples:

Zero Order: electric switches,

potentiometers,..

First Order: thermocouple,

thermistor, ..

Second Order: springs, ….

High Order: biosensors, semi-

conducting gas sensors,….

Page 33: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

33

Sortida (% FSO)

Dynamic Characteristics

FIRST ORDER SYSTEMS: Many sensor systems can be modeled with a single time

constant. Although we know that all systems are complex,

it is often possible to get good results with a simplified

model. For example, a system with low-pass behavior may

be accurately modeled with a single response pole,

especially if it is much lower in frequency than other

response elements.

One possible model for a first-order system is

K is a scaling constant and ω0 is the corner

frequency of the single time constant system.

Since the behavior of this system is frequency

dependent, it is useful to determine the magnitude

and phase responses.

A common graphical method used to visualize

these behaviors is the Bode plot, which shows

how transfer functions respond as functions of

frequency. n

Page 34: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

34

SECOND ORDER SYSTEMS: Another common physical model contains two energy storage

elements such as capacitance and inductance. Second - order

systems develop a richer variety of response forms; exhibiting

behaviors such as damped sinusoidal oscillations, for example.

The model for one form of second – order system is

As before, K is a scaling constant, ω0 is the undamped

natural frequency of the system, and Q is a quality term

that describes the behavior around ω0.

Users and designers of measurement systems keep these

models in mind to ensure that the frequency response is

appropriate to the physical system that is being measured.

For instance, high - bandwidth signal conditioning

elements are not necessary for low-bandwidth sensors.

Conversely, it is important to have high-bandwidth signal

conditioning for sensors with high bandwidths. Sortida (% FSO)

Dynamic Characteristics

2

21

1log20

nn

jj

n

Page 35: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

35

ELECTRICAL CONNECTIONS: The transducer is seen as a “black-box”, without

considering internal operation. Only electrical

interface to others equipments are considered

Input: Gain Stability

Source Impedance Breakdown voltage

Input Impedance Isolation

Output :

Output Impedance

Load Impedance

Output levels (Output Range)

Noise

Electrical Characteristics

Z S

Input

Output Z L

Magnitude Sensor Transducer and electronics

Z ent.

Z sort.

Note: The Output Range determines the

applicability of sensor for data acquisition

equipment

Page 36: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

36

Span or range: What are the smallest and largest values of stimuli the sensor reasonably

will encounter)?

You need to determine the useful range of the sensor — does it encompass the anticipated

span of the intended application?

Sensors Characterization

Full scale output: What is the maximum

excursion of the output electrical signal?

That is, what is the difference between the

minimum output for the smallest input

stimulus and the maximum output for the

largest input stimulus?

Accuracy: How much does the measured

value — the output from the sensor —

deviate from the true (NIST - traceable)

value of the measurand?

Does the selected sensor offer the accuracy

required by the application?

(Please note, accuracy is not the same as

resolution!. They are related values but

not synonymous.)

Page 37: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

37

Threshold: What are the minimum and maximum input detection levels beyond which the

sensor produces no usable output? That is, if your measurand varies somewhat above or

below estimated nominal values, will you still be able to measure it?

Resolution: What is the smallest increment of input stimulus that can be sensed? The

smallest increment sensed is not necessarily the accuracy because the transfer function

may be nonlinear

Sensors Characterization

Linearity: What is the form of the transfer

function relationship between measurand

input and sensor output?

A linear relationship means that it is very

simple to convert sensor output to final

measurement result.

However even for highly nonlinear sensors,

this usually will not be a concern because

of computing horsepower available for

linearization somewhere along the chain of

measurements.

Page 38: Engineering Electronic Department 3B... · 2018. 6. 10. · Energy Transducers Signal Conditioning INTERFACES x(t) y(t) ... Some current complex sensors accept changing sensor characteristics

38

Sensors Characterization

Precision: How repeatable are the measurements from the sensor?

That is, for a measurement repeated with identical input conditions, how much will the

results vary and how much can you tolerate?

Please note, precision is not accuracy:

Sensitivity: What is the conversion efficiency of the sensor? Think of this as the

sensor gain: out/in.

This parameter will affect subsequent signal processing steps and contributes to

overall SNR.

Specificity: Does the sensor offer a highly selective conversion of the desired

measurand, which is relatively immune to others? Temperature effects are ubiquitous.

You may not want to measure temperature with your sensor, but it is likely to be

influenced—sometimes strongly—by temperature. Many sensors include some form of

temperature compensation to minimize such unintended measurand effects;

alternatively, you may need to perform this yourself.

- Accuracy describes how close the sensor is to a static ideal.

- Precision describes how results vary dynamically; i.e., for identical input, how close

the output returns to the same value

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Hysteresis: Does the sensor response depend on previous inputs? For example, will a

sensor provide the same result for a pressure of 1,000 kPa regardless of whether it was

raised from 500 kPa to the target value or was reduced from 1,500 to that level?

Sensors Characterization

Stability: Is the long-term behavior of the

sensor adequate for the application?

If the sensor is installed today, will it give

acceptable performance next year—or at

least until the next calibration cycle?

Survivability: This is a statement of

ruggedness, environmental suitability, etc.

Can the fundamental sensor element in

combination with its packaging and

interconnect survive in the environment

of the measurand?

Safety: Does the sensor offer intrinsic

safety compatible with the application

environment?

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Accuracy

The accuracy of an analytical measurement is how close a result comes to the

true value. Determining the accuracy of a measurement usually requires

calibration of the analytical method with a known standard.

Precision

Precision is the reproducibility of multiple measurements and is usually

described by the standard deviation, standard error, or confidence interval.

Accuracy and Precission

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A good sensor applies to the following rules:

• the sensor should be sensitive to the measured property

• the sensor should be insensitive to any other property

• the sensor should not influence the measured property

In the ideal situation, the output signal of a sensor is exactly proportional to the value of the

measured property. The gain is then defined as the ratio between output signal and measured

property.

If the sensor is not ideal, several types of deviations can be observed:

• The gain may in practice differ from the value specified. This is called a gain error.

• Since the range of the output signal is always limited, the output signal will eventually

clip when the measured property exceeds the limits. The full scale range defines the

outmost values of the measured property where the sensor errors are within the

specified range.

• If the output signal is not zero when the measured property is zero, the sensor has an

offset or bias. This is defined as the output of the sensor at zero input.

• If the gain is not constant, this is called nonlinearity. Usually this is defined by the

amount the output differs from ideal behaviour over the full range of the sensor, often

noted as a percentage of the full range.

Measurement errors

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• If the deviation is caused by a rapid change of the measured property over time, there is a

dynamic error. Often, this behavior is described with a bode plot showing gain error and

phase shift as function of the frequency of a periodic input signal.

If the signal is monitored digitally, limitation of the sampling frequency also causes a

dynamic error

• If the output signal slowly changes independent of the measured property, this is defined

as drift. Long term drift usually indicates a slow degradation of sensor properties over a

long period of time.

• Noise is a random deviation of the signal that varies in time.

• Hysteresis is an error caused by the fact that the sensor not instantly follows the change of

the property being measured, and therefore involves the history of the measured property.

• If the sensor has a digital output, the signal is discrete and is essentially an approximation

of the measured property. The approximation error is also called digitization error.

The sensor may to some extent be sensitive for other properties than the property being measured.

For example, most sensors are influenced by the temperature of their environment.

All these deviations can be classified as systematic errors or random errors. Systematic errors can

sometimes be compensated for by means of some kind of calibration strategy.

Noise is a random error that can be reduced by signal processing, such as filtering, usually at the

expense of the dynamic behaviour of the sensor.

Measurement errors

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Sensors’ operations: Range

Sensor operations must take into account the Range of the sensor

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There are more ranges to take into account in a sensing system, and operations should

be related to all of them.:

Sensors’ operations: Range

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Sensors’ operations: Interferences (electro-magnetic noise)

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Active and passive analogue transducers

Sensor

Electronics +

Vin Vout

+

VS

ZS IS ZS

PASSIVE

ACTIVE

They need external a power supply sensor to produce a voltage or current output

They generate its own voltage or current output