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Communication System
PCC-ECE202G
Introduction
• Communication system is a system which describes the
exchange of information or data between two stations, i.e.
between transmitter and receiver.
• To transmit signals in communication system, it must be first
processed by several stages, beginning from signal
representation, to signal shaping until encoding and
modulation.
Application Areas
• Telephone/ Mobile
• Telegraph
• TV cable/ Radio
• Computer
• Defense/ military application
• Broadcasting, Mass Media or Journalism
• Satellite/ Space Communication
• Digital Signal Processing
• Image Processing
• And many more.....
Source
Decoder
Channel Receiver
Transmitter
Text
Images
Video
x(t) x̂(t) 1 2
m
ˆ
(t)
bˆbˆ...
1 2
m(t)
b b ...
Source
Encoder
Essentials of Communication System
Figure: Block Diagram of Digital Communication System
• Source encoder converts message into message signal or bits.
• Transmitter converts message signal or bits into format appropriate
for channel transmission (analog/digital signal).
• Channel introduces distortion, noise, and interference.
• Receiver decodes received signal back to message signal.
• Source decoder decodes message signal back into original message.
Modes of Communication: Simplex, Half-Duplex and Full-Duplex)
 Simplex (SX) – one direction only, e.g. TV
 Half Duplex (HDX) – both directions but not at the same
time, e.g. CB radio
 Full Duplex (FDX) – transmit and receive simultaneously
between two stations, e.g. standard telephone system.
 Full/Full Duplex (F/FDX) - transmit and receive
simultaneously but not necessarily just between two
stations,
e.g. data communications circuits
Medias for Communication
• Telephone Channel
• Mobile Radio Channel
• Optical Fiber Cable
• Satellite Channel
• Introduction To Communication System: Modulation,
Demodulation, Radio Frequency Spectrum, Signals &
their classification, Limitations & Advantages of a
Communication System, Comparison of Analog & Digital
Communication Systems, Historical Perspectives.
• Noise: Sources of Noise, External & Internal Noise,
Noise Calculations, Noise Figure, Noise Figure
Calculation, Noise Temperature, Noise in Communication
Systems, Band Pass Noise Model, Cascaded States & its
Noise Figure Calculation, Signal in presence of Noise,
Pre-Emphasis & De- Emphasis, Noise Quieting Effect,
Capture Effect, Noise in Modulation Systems.
Unit 1
Introduction to Communication System
• Modulation
• Demodulation
• Radio Frequency Spectrum
• Signals & their classification
• Systems & their classification
• Limitations & Advantages of a Communication
System
• Comparison of Analog & Digital Communication
Systems
• Historical Perspective
What is Modulation?
In modulation, a message signal, which contains the information is used to control the
parameters of a carrier signal, so as to impress the information onto the carrier.
The Messages
The message or modulating signal may be either:
analogue – denoted by m(t)
digital – denoted by d(t) – i.e. sequences of 1's and 0's
The message signal could also be a multilevel signal, rather than binary; this is not
considered further at this stage.
The Carrier
The carrier could be a 'sine wave' or a 'pulse train'.
Consider a 'sine wave' carrier:
vc t=Vccosωct+φc 
• If the message signal m(t) controls amplitude – gives AMPLITUDE MODULATION AM
• If the message signal m(t) controls frequency – gives FREQUENCY MODULATION FM
• If the message signal m(t) controls phase- gives PHASE MODULATION PM or M
What is Demodulation?
Demodulation is the reverse process (to modulation) to recover the message signal
m(t) or d(t) at the receiver.
Summary of Modulation Technique.
Frequency Spectrum
• A Signal is the function of one or more independent
variables that carries some information to represent a
physical phenomenon. e.g. ECG, EEG
• Classification of signals:
1. Continuous & Discrete Signals
2. Randam & Diterminstic Signals
3. Periodic & Non Periodic Signals
4. Causal & Non Causal Signals
5. Energy & Power signals
6. Even & Odd signals
Signals
Continuous-time Sinal: Signal
which is defined at every
instant of time, this means
that the signal is analog or
continuous in nature.
Discrete-time Sinal:
The Signal which is defined at
some instant of time, not at
every instant.
These signals are also known
as sampled signals.
Classification of Signals
Examples: CT vs. DT Signals
( )
x t [ ]
x n
n
t
Periodic vsAperiodic
• A signal x(t) is said to be periodic if for some positive
constant To i.e x(t) = x (t+To) for all t
• A signal x(t) is said to be non periodic:
if x(t) ≠ x (t+To) for all t
The smallest value of Tothat satisfies the periodicity condition
of this equation is the fundamental period of x(t).
Periodic Signal Non Periodic Signal
Energy and Power Signals
Energy Signal
• A signal with finite energy and zero power is called
Energy Signal i.e.for energy signal
0<E<∞ and P =0
• Signal energy of a signal is defined as the area under
the square of the magnitude of the signal.
• The units of signal energy depends on the unit of
the signal.
 
2
x x
E t dt


 
Energy and Power Signals Contd.
Power Signal
• Some signals have infinite signal energy. In that
case it is more convenient to deal with average
signal power.
• For power signals
0<P<∞ and E = ∞
• Average power of the signal is given by
 
/2
2
x
/2
1
lim x
T
T
T
P t dt
T


 
Deterministic & Non Deterministic Signals
Deterministic signals
• Behavior of these signals is predictable w.r.t time
• There is no uncertainty with respect to its value at any
time.
• These signals can be expressed mathematically.
For example x(t) = sin(3t) is deterministic signal.
Deterministic & Non Deterministic Signals Contd.
Non Deterministic or Random signals
• Behavior of these signals is random i.e. not predictable
w.r.t time.
• There is an uncertainty with respect to its value at any
time.
• These signals can’t be expressed mathematically.
• For example Thermal Noise generated is non
deterministic signal.
Causal vs Non-causal
Even vs Odd Signal
Even and Odd Signal
A real function xe(t) is said to be an even function of t if
A real function xo(t) is said to be an odd function of t if
A system (plant) is a combination of
components, interrelated, independent
elements that are organized for a specific
purpose or task.
Classification of Systems:
1. Linear Time Invariant System (LTI System)
2. Linear Time Variant System (LTV System)
3. Continuous and Discrete time system
4. Causal and Non Causal Systems
Systems
Classification of Systems
Linear Time Invarient System (LTI System)/
Linear Time Varient System (LTV System):
Linear: The system that satisfies both superposition &
homogeniety principle are said to be linear system.
Time Invarient: The output due to input x(t) is y(t) then
the output due to input x(t+T) is y(t+T) is identical or same
irrespective to the delay T in the input of the system.
Linear+ Time Invarient= LTI System
If the system does not obey's the Time Invarient Principle
are known as Linear Time varient system.
Continuous System (Analog System): A
continuous-time system is a device that operates on a
continuous-time input and output signals.
Discrete time system : A discrete system is a system
with a countable number of states.
A discrete-time system is a device that operates on a
discrete-time input and output signals.
Continuous and Discrete time system:
Causal and Non Causal Systems:
Causal system : A system is said to be causal system if
its output depends on present and past inputs only and
not on future inputs.
Non Causal system: A system whose present
response depends on future values of the inputs is
called as a non-causal system.
1. Speedy transmission: It requires only a few seconds to communicate
through electronic media because it supports quick transmission.
2. Wide coverage: World has become a global village and communication
around the globe requires a second only.
3. Low cost: Electronic communication saves time and money. For example,
Text SMS is cheaper than the traditional letter.
4. Exchange of feedback: Electronic communication allows the instant
exchange of feedback. So communication becomes perfect using electronic
media.
5. Managing global operation: Due to the advancement of electronic
media, business managers can easily control operation across the globe. Video
or teleconferencing e-mail and mobile communication are helping managers
in this regard
Advantages of a Communication System
1. The volume of data: The volume of telecommunication information is
increasing at such a fast rate that business people are unable to absorb it
within the relevant time limit.
2. The cost of development: Electronic communication requires huge
investment for infrastructural development. Frequent change in technology
also demands further investment.
3. Legal status: Data or information, if faxed, may be distorted and will cause
zero value in the eye of law.
4. Undelivered data: Data may not be retrieved due to system error or fault
with the technology. Hence required service will be delayed
Disadvantages of a Communication System
• Digital communication can be done over large distances though internet
and other things.
• Digital communication gives facilities like video conferencing which save a
lot of time, money and effort.
• It is easy to mix signals and data using digital techniques.
• The digital communication is fast, easier and cheaper.
• It can tolerat the noise interference.
• It can be detect and correct error easily because of channel coding.
• Used in military application.
• It has excellent processing techniques are available for digital signals such
as data compression, image processing, channel coding and equalization.
Advantages of a Digital Communication
• Digital communication needs synchronization in synchronous
modulation.
• High power consumption.
• It required more bandwidth as compared to analog systems.
• It has sampling error.
• Complex circuit, more sophisticated device making is also
disadvantage of digital system.
Disadvantages of a Digital Communication
Historical Perspective
History of Communication
Introduction to Noise
• Sources of Noise
• External Noise
• Internal Noise
• S/N Ratio, Noise Figure
• Introduction
• Thermal Noise
• Shot Noise
1. Introduction
44
Noise is a general term which is used to describe an unwanted signal
which affects a wanted signal. These unwanted signals arise from a
variety of sources which may be considered in one of two main
categories:-
•Interference, usually from a human source (man made)
•Naturally occurring random noise
Interference
Interference arises for example, from other communication systems
(cross talk), 50 Hz supplies (hum) and harmonics, switched mode
power supplies, thyristor circuits, ignition (car spark plugs) motors
… etc.
1. Introduction (Cont’d)
45
Natural Noise
Naturally occurring external noise sources include atmosphere disturbance
(e.g. electric storms, lighting, ionospheric effect etc), so called ‘Sky Noise’
or Cosmic noise which includes noise from galaxy, solar noise and ‘hot
spot’ due to oxygen and water vapour resonance in the earth’s atmosphere.
2. Thermal Noise (Johnson Noise)
46
This type of noise is generated by all resistances (e.g. a resistor,
semiconductor, the resistance of a resonant circuit, i.e. the real part of the
impedance, cable etc).
Experimental results (by Johnson) and theoretical studies (by Nyquist) give
the mean square noise voltage as
)
(
4 2
2
_
volt
TBR
k
V 
Where k = Boltzmann’s constant = 1.38 x 10-23 Joules per K
T = absolute temperature
B = bandwidth noise measured in (Hz)
R = resistance (ohms)
2. Thermal Noise (Johnson Noise) (Cont’d)
47
The law relating noise power, N, to the temperature and bandwidth is
N = k TB watts
Thermal noise is often referred to as ‘white noise’ because it has a
uniform ‘spectral density’.
3. Shot Noise
48
• Shot noise was originally used to describe noise due to random
fluctuations in electron emission from cathodes in vacuum tubes
(called shot noise by analogy with lead shot).
• Shot noise also occurs in semiconductors due to the liberation of
charge carriers.
• For pn junctions the mean square shot noise current is
Where
is the direct current as the pn junction (amps)
is the reverse saturation current (amps)
is the electron charge = 1.6 x 10-19 coulombs
B is the effective noise bandwidth (Hz)
• Shot noise is found to have a uniform spectral density as for thermal
noise
  2
2
)
(
2
2 amps
B
q
I
I
I e
o
DC
n 

4. Low Frequency or Flicker Noise
49
Active devices, integrated circuit, diodes, transistors etc also exhibits
a low frequency noise, which is frequency dependent (i.e. non
uniform) known as flicker noise or ‘one – over – f’ noise.
5. Excess Resistor Noise
Thermal noise in resistors does not vary with frequency, as previously
noted, by many resistors also generates as additional frequency
dependent noise referred to as excess noise.
6. Burst Noise or Popcorn Noise
Some semiconductors also produce burst or popcorn noise with a
spectral density which is proportional to
2
1 





f
7. General Comments
50
For frequencies below a few KHz (low frequency systems), flicker
and popcorn noise are the most significant, but these may be ignored
at higher frequencies where ‘white’ noise predominates.
8. Noise Evaluation
51
The essence of calculations and measurements is to determine the
signal power to Noise power ratio, i.e. the (S/N) ratio or (S/N)
expression in dB.
dBm
dBm
dB
dB
dBm
dBm
dB
ratio
N
S
N
S
N
S
N
S
e
i
mW
mW
N
N
and
mW
mW
S
S
that
recall
Also
N
S
N
S
N
S
N
S


















































10
10
10
10
10
log
10
log
10
.
.
1
)
(
log
10
1
)
(
log
10
log
10
8. Noise Evaluation (Cont’d)
52
The probability of amplitude of noise at any frequency or in any band
of frequencies (e.g. 1 Hz, 10Hz… 100 KHz .etc) is a Gaussian
distribution.
8. Noise Evaluation (Cont’d)
53
Noise may be quantified in terms of
noise power spectral density, po watts per
Hz, from which Noise power N may be
expressed as
N= po Bn watts
Ideal low pass filter
Bandwidth B Hz = Bn
N= po Bn watts
Practical LPF
3 dB bandwidth shown, but noise does not suddenly cease
at B3dB
Therefore, Bn > B3dB, Bn depends on actual filter.
N= p0 Bn
In general the equivalent noise bandwidth is > B3dB.
9. Analysis of Noise In Communication Systems
54
Thermal Noise (Johnson noise)
This thermal noise may be represented by an equivalent circuit as shown below
)
(
4 2
____
2
volt
TBR
k
V 
____
2
V n
V
kTBR 
 2
(mean square value , power)
then VRMS =
i.e. Vn is the RMS noise voltage.
A) System BW = B Hz
N= Constant B (watts) = KB
B) System BW
N= Constant 2B (watts) = K2B
For A,
KB
S
N
S
 For B,
B
K
S
N
S
2

9. Analysis of Noise In Communication Systems (Cont’d)
55
2
2
___
2
1
___
____
2
n
n
n V
V
V 

1
1
____
2
1 4 R
B
T
k
Vn 
2
2
____
2
2 4 R
B
T
k
Vn 
)
(
4 2
2
1
1
____
2
R
T
R
T
B
k
Vn 


)
(
4 2
1
____
2
R
R
B
kT
Vn 

Assume that R1 at
temperature T1 and R2 at
temperature T2, then
i.e. The resistor in series at same temperature behave as a
single resistor
Resistors in Series
9. Analysis of Noise In Communication Systems (Cont’d)
56
Resistance in Parallel
2
1
2
1
1
R
R
R
V
V n
o


2
1
1
2
2
R
R
R
V
V n
o


2
2
___
2
1
___
____
2
o
o
n V
V
V 


____
2
n
V
 
  









 2
1
2
1
2
2
2
1
1
1
2
2
2
2
1
4
R
R
R
R
R
T
R
R
T
R
R
R
kB
 2
2
1
2
2
1
1
2
1
_____
2 )
(
4
R
R
R
T
R
T
R
R
kB
Vn













2
1
2
1
_____
2
4
R
R
R
R
kTB
Vn
10. Matched Communication Systems
57
In communication systems we are usually concerned
with the noise (i.e. S/N) at the receiver end of the system.
The transmission path may be for example:-
Or
An equivalent circuit, when the line is connected to the receiver is shown below.
10. Matched Communication Systems (Cont’d)
58
11. Signal to Noise
59
Power
Noise
Power
Signal
N
S














N
S
N
S
dB 10
log
10
The signal to noise ratio is given by
The signal to noise in dB is expressed by
dBm
dBm
dB N
S
N
S








for S and N measured in mW.
12. Noise Factor- Noise Figure
Consider the network shown below,
60
12. Noise Factor- Noise Figure (Cont’d)
• The amount of noise added by the network is embodied in the
Noise Factor F, which is defined by
Noise factor F =
 
 OUT
IN
N
S
N
S
• F equals to 1 for noiseless network and in general F > 1. The
noise figure in the noise factor quoted in dB
i.e. Noise Figure F dB = 10 log10 F F ≥ 0 dB
• The noise figure / factor is the measure of how much a network
degrades the (S/N)IN, the lower the value of F, the better the
network.
13. Noise Figure – Noise Factor for Active Elements
61
 
 OUT
IN
N
S
N
S
OUT
OUT
IN
IN
S
N
N
S
OUT
S IN
S
G

IN
OUT
IN
IN
S
G
N
N
S
F 
IN
OUT
N
G
N

For active elements with power gain G>1, we have
F = = But
Therefore
Since in general F v> 1 , then OUT
N is increased by noise due to the active element i.e.
Na represents ‘added’ noise measured at the output. This added noise may be referred to the
input as extra noise, i.e. as equivalent diagram is
13. Noise Figure – Noise Factor for Active Elements (Cont’d)
62
Ne is extra noise due to active elements referred to the input; the element is thus
effectively noiseless.
14. Noise Temperature
63
15. Noise Figure – Noise Factor for Passive Elements
64
16. Review of Noise Factor – Noise Figure –Temperature
65
17. Cascaded Network
66
A receiver systems usually consists of a number of passive or active elements connected in
series. A typical receiver block diagram is shown below, with example
In order to determine the (S/N) at the input, the overall receiver noise figure or noise
temperature must be determined. In order to do this all the noise must be referred to the same
point in the receiver, for example to A, the feeder input or B, the input to the first amplifier.
e
T e
N
or is the noise referred to the input.
18. System Noise Figure
67
Assume that a system comprises the elements shown below,
Assume that these are now cascaded and connected to an aerial at the input, with ae
IN N
N 
from the aerial.
Now ,  
3
3
3 e
IN
OUT N
N
G
N 

 
 
IN
IN N
F
N
G 1
3
3
3 


Since    
 
IN
IN
e
IN
IN N
F
N
G
N
N
G
N 1
2
2
2
2
2
2
3 




similarly  
 
IN
ae
IN N
F
N
G
N 1
1
1
2 


18. System Noise Figure (Cont’d)
68
 
   
    IN
IN
IN
ae
OUT N
F
G
N
F
G
N
F
G
N
G
G
G
N 1
1
1 3
3
2
2
1
1
1
2
3 






The overall system Noise Factor is
ae
OUT
IN
OUT
sys
N
G
G
G
N
GN
N
F
3
2
1


     
ae
IN
ae
IN
ae
IN
N
N
G
G
F
N
N
G
F
N
N
F
2
1
3
1
2
1
1
1
1
1







       
1
2
1
3
2
1
4
2
1
3
1
2
1
..........
1
.
..........
1
1
1











n
n
sys
G
G
G
F
G
G
G
F
G
G
F
G
F
F
F
The equation is called FRIIS Formula.
19. System Noise Temperature
69
Online Links
• https://nptel.ac.in/courses/117102059/
• https://onlinecourses.nptel.ac.in/noc18_ee03
/preview

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Introduction to communication system.pdf

  • 2. Introduction • Communication system is a system which describes the exchange of information or data between two stations, i.e. between transmitter and receiver. • To transmit signals in communication system, it must be first processed by several stages, beginning from signal representation, to signal shaping until encoding and modulation.
  • 3. Application Areas • Telephone/ Mobile • Telegraph • TV cable/ Radio • Computer • Defense/ military application • Broadcasting, Mass Media or Journalism • Satellite/ Space Communication • Digital Signal Processing • Image Processing • And many more.....
  • 4. Source Decoder Channel Receiver Transmitter Text Images Video x(t) x̂(t) 1 2 m ˆ (t) bˆbˆ... 1 2 m(t) b b ... Source Encoder Essentials of Communication System Figure: Block Diagram of Digital Communication System • Source encoder converts message into message signal or bits. • Transmitter converts message signal or bits into format appropriate for channel transmission (analog/digital signal). • Channel introduces distortion, noise, and interference. • Receiver decodes received signal back to message signal. • Source decoder decodes message signal back into original message.
  • 5. Modes of Communication: Simplex, Half-Duplex and Full-Duplex)
  • 6.  Simplex (SX) – one direction only, e.g. TV  Half Duplex (HDX) – both directions but not at the same time, e.g. CB radio  Full Duplex (FDX) – transmit and receive simultaneously between two stations, e.g. standard telephone system.  Full/Full Duplex (F/FDX) - transmit and receive simultaneously but not necessarily just between two stations, e.g. data communications circuits
  • 7. Medias for Communication • Telephone Channel • Mobile Radio Channel • Optical Fiber Cable • Satellite Channel
  • 8. • Introduction To Communication System: Modulation, Demodulation, Radio Frequency Spectrum, Signals & their classification, Limitations & Advantages of a Communication System, Comparison of Analog & Digital Communication Systems, Historical Perspectives. • Noise: Sources of Noise, External & Internal Noise, Noise Calculations, Noise Figure, Noise Figure Calculation, Noise Temperature, Noise in Communication Systems, Band Pass Noise Model, Cascaded States & its Noise Figure Calculation, Signal in presence of Noise, Pre-Emphasis & De- Emphasis, Noise Quieting Effect, Capture Effect, Noise in Modulation Systems. Unit 1
  • 9. Introduction to Communication System • Modulation • Demodulation • Radio Frequency Spectrum • Signals & their classification • Systems & their classification • Limitations & Advantages of a Communication System • Comparison of Analog & Digital Communication Systems • Historical Perspective
  • 10. What is Modulation? In modulation, a message signal, which contains the information is used to control the parameters of a carrier signal, so as to impress the information onto the carrier. The Messages The message or modulating signal may be either: analogue – denoted by m(t) digital – denoted by d(t) – i.e. sequences of 1's and 0's The message signal could also be a multilevel signal, rather than binary; this is not considered further at this stage. The Carrier The carrier could be a 'sine wave' or a 'pulse train'. Consider a 'sine wave' carrier: vc t=Vccosωct+φc  • If the message signal m(t) controls amplitude – gives AMPLITUDE MODULATION AM • If the message signal m(t) controls frequency – gives FREQUENCY MODULATION FM • If the message signal m(t) controls phase- gives PHASE MODULATION PM or M
  • 11. What is Demodulation? Demodulation is the reverse process (to modulation) to recover the message signal m(t) or d(t) at the receiver.
  • 12. Summary of Modulation Technique.
  • 13.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19. • A Signal is the function of one or more independent variables that carries some information to represent a physical phenomenon. e.g. ECG, EEG • Classification of signals: 1. Continuous & Discrete Signals 2. Randam & Diterminstic Signals 3. Periodic & Non Periodic Signals 4. Causal & Non Causal Signals 5. Energy & Power signals 6. Even & Odd signals Signals
  • 20. Continuous-time Sinal: Signal which is defined at every instant of time, this means that the signal is analog or continuous in nature. Discrete-time Sinal: The Signal which is defined at some instant of time, not at every instant. These signals are also known as sampled signals. Classification of Signals
  • 21. Examples: CT vs. DT Signals ( ) x t [ ] x n n t
  • 22. Periodic vsAperiodic • A signal x(t) is said to be periodic if for some positive constant To i.e x(t) = x (t+To) for all t • A signal x(t) is said to be non periodic: if x(t) ≠ x (t+To) for all t The smallest value of Tothat satisfies the periodicity condition of this equation is the fundamental period of x(t). Periodic Signal Non Periodic Signal
  • 23. Energy and Power Signals Energy Signal • A signal with finite energy and zero power is called Energy Signal i.e.for energy signal 0<E<∞ and P =0 • Signal energy of a signal is defined as the area under the square of the magnitude of the signal. • The units of signal energy depends on the unit of the signal.   2 x x E t dt    
  • 24. Energy and Power Signals Contd. Power Signal • Some signals have infinite signal energy. In that case it is more convenient to deal with average signal power. • For power signals 0<P<∞ and E = ∞ • Average power of the signal is given by   /2 2 x /2 1 lim x T T T P t dt T    
  • 25. Deterministic & Non Deterministic Signals Deterministic signals • Behavior of these signals is predictable w.r.t time • There is no uncertainty with respect to its value at any time. • These signals can be expressed mathematically. For example x(t) = sin(3t) is deterministic signal.
  • 26. Deterministic & Non Deterministic Signals Contd. Non Deterministic or Random signals • Behavior of these signals is random i.e. not predictable w.r.t time. • There is an uncertainty with respect to its value at any time. • These signals can’t be expressed mathematically. • For example Thermal Noise generated is non deterministic signal.
  • 28. Even vs Odd Signal
  • 29. Even and Odd Signal A real function xe(t) is said to be an even function of t if A real function xo(t) is said to be an odd function of t if
  • 30. A system (plant) is a combination of components, interrelated, independent elements that are organized for a specific purpose or task. Classification of Systems: 1. Linear Time Invariant System (LTI System) 2. Linear Time Variant System (LTV System) 3. Continuous and Discrete time system 4. Causal and Non Causal Systems Systems
  • 31. Classification of Systems Linear Time Invarient System (LTI System)/ Linear Time Varient System (LTV System): Linear: The system that satisfies both superposition & homogeniety principle are said to be linear system. Time Invarient: The output due to input x(t) is y(t) then the output due to input x(t+T) is y(t+T) is identical or same irrespective to the delay T in the input of the system. Linear+ Time Invarient= LTI System If the system does not obey's the Time Invarient Principle are known as Linear Time varient system.
  • 32. Continuous System (Analog System): A continuous-time system is a device that operates on a continuous-time input and output signals. Discrete time system : A discrete system is a system with a countable number of states. A discrete-time system is a device that operates on a discrete-time input and output signals. Continuous and Discrete time system:
  • 33. Causal and Non Causal Systems: Causal system : A system is said to be causal system if its output depends on present and past inputs only and not on future inputs. Non Causal system: A system whose present response depends on future values of the inputs is called as a non-causal system.
  • 34. 1. Speedy transmission: It requires only a few seconds to communicate through electronic media because it supports quick transmission. 2. Wide coverage: World has become a global village and communication around the globe requires a second only. 3. Low cost: Electronic communication saves time and money. For example, Text SMS is cheaper than the traditional letter. 4. Exchange of feedback: Electronic communication allows the instant exchange of feedback. So communication becomes perfect using electronic media. 5. Managing global operation: Due to the advancement of electronic media, business managers can easily control operation across the globe. Video or teleconferencing e-mail and mobile communication are helping managers in this regard Advantages of a Communication System
  • 35. 1. The volume of data: The volume of telecommunication information is increasing at such a fast rate that business people are unable to absorb it within the relevant time limit. 2. The cost of development: Electronic communication requires huge investment for infrastructural development. Frequent change in technology also demands further investment. 3. Legal status: Data or information, if faxed, may be distorted and will cause zero value in the eye of law. 4. Undelivered data: Data may not be retrieved due to system error or fault with the technology. Hence required service will be delayed Disadvantages of a Communication System
  • 36. • Digital communication can be done over large distances though internet and other things. • Digital communication gives facilities like video conferencing which save a lot of time, money and effort. • It is easy to mix signals and data using digital techniques. • The digital communication is fast, easier and cheaper. • It can tolerat the noise interference. • It can be detect and correct error easily because of channel coding. • Used in military application. • It has excellent processing techniques are available for digital signals such as data compression, image processing, channel coding and equalization. Advantages of a Digital Communication
  • 37. • Digital communication needs synchronization in synchronous modulation. • High power consumption. • It required more bandwidth as compared to analog systems. • It has sampling error. • Complex circuit, more sophisticated device making is also disadvantage of digital system. Disadvantages of a Digital Communication
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  • 41.
  • 42.
  • 43. Introduction to Noise • Sources of Noise • External Noise • Internal Noise • S/N Ratio, Noise Figure • Introduction • Thermal Noise • Shot Noise
  • 44. 1. Introduction 44 Noise is a general term which is used to describe an unwanted signal which affects a wanted signal. These unwanted signals arise from a variety of sources which may be considered in one of two main categories:- •Interference, usually from a human source (man made) •Naturally occurring random noise Interference Interference arises for example, from other communication systems (cross talk), 50 Hz supplies (hum) and harmonics, switched mode power supplies, thyristor circuits, ignition (car spark plugs) motors … etc.
  • 45. 1. Introduction (Cont’d) 45 Natural Noise Naturally occurring external noise sources include atmosphere disturbance (e.g. electric storms, lighting, ionospheric effect etc), so called ‘Sky Noise’ or Cosmic noise which includes noise from galaxy, solar noise and ‘hot spot’ due to oxygen and water vapour resonance in the earth’s atmosphere.
  • 46. 2. Thermal Noise (Johnson Noise) 46 This type of noise is generated by all resistances (e.g. a resistor, semiconductor, the resistance of a resonant circuit, i.e. the real part of the impedance, cable etc). Experimental results (by Johnson) and theoretical studies (by Nyquist) give the mean square noise voltage as ) ( 4 2 2 _ volt TBR k V  Where k = Boltzmann’s constant = 1.38 x 10-23 Joules per K T = absolute temperature B = bandwidth noise measured in (Hz) R = resistance (ohms)
  • 47. 2. Thermal Noise (Johnson Noise) (Cont’d) 47 The law relating noise power, N, to the temperature and bandwidth is N = k TB watts Thermal noise is often referred to as ‘white noise’ because it has a uniform ‘spectral density’.
  • 48. 3. Shot Noise 48 • Shot noise was originally used to describe noise due to random fluctuations in electron emission from cathodes in vacuum tubes (called shot noise by analogy with lead shot). • Shot noise also occurs in semiconductors due to the liberation of charge carriers. • For pn junctions the mean square shot noise current is Where is the direct current as the pn junction (amps) is the reverse saturation current (amps) is the electron charge = 1.6 x 10-19 coulombs B is the effective noise bandwidth (Hz) • Shot noise is found to have a uniform spectral density as for thermal noise   2 2 ) ( 2 2 amps B q I I I e o DC n  
  • 49. 4. Low Frequency or Flicker Noise 49 Active devices, integrated circuit, diodes, transistors etc also exhibits a low frequency noise, which is frequency dependent (i.e. non uniform) known as flicker noise or ‘one – over – f’ noise. 5. Excess Resistor Noise Thermal noise in resistors does not vary with frequency, as previously noted, by many resistors also generates as additional frequency dependent noise referred to as excess noise. 6. Burst Noise or Popcorn Noise Some semiconductors also produce burst or popcorn noise with a spectral density which is proportional to 2 1       f
  • 50. 7. General Comments 50 For frequencies below a few KHz (low frequency systems), flicker and popcorn noise are the most significant, but these may be ignored at higher frequencies where ‘white’ noise predominates.
  • 51. 8. Noise Evaluation 51 The essence of calculations and measurements is to determine the signal power to Noise power ratio, i.e. the (S/N) ratio or (S/N) expression in dB. dBm dBm dB dB dBm dBm dB ratio N S N S N S N S e i mW mW N N and mW mW S S that recall Also N S N S N S N S                                                   10 10 10 10 10 log 10 log 10 . . 1 ) ( log 10 1 ) ( log 10 log 10
  • 52. 8. Noise Evaluation (Cont’d) 52 The probability of amplitude of noise at any frequency or in any band of frequencies (e.g. 1 Hz, 10Hz… 100 KHz .etc) is a Gaussian distribution.
  • 53. 8. Noise Evaluation (Cont’d) 53 Noise may be quantified in terms of noise power spectral density, po watts per Hz, from which Noise power N may be expressed as N= po Bn watts Ideal low pass filter Bandwidth B Hz = Bn N= po Bn watts Practical LPF 3 dB bandwidth shown, but noise does not suddenly cease at B3dB Therefore, Bn > B3dB, Bn depends on actual filter. N= p0 Bn In general the equivalent noise bandwidth is > B3dB.
  • 54. 9. Analysis of Noise In Communication Systems 54 Thermal Noise (Johnson noise) This thermal noise may be represented by an equivalent circuit as shown below ) ( 4 2 ____ 2 volt TBR k V  ____ 2 V n V kTBR   2 (mean square value , power) then VRMS = i.e. Vn is the RMS noise voltage. A) System BW = B Hz N= Constant B (watts) = KB B) System BW N= Constant 2B (watts) = K2B For A, KB S N S  For B, B K S N S 2 
  • 55. 9. Analysis of Noise In Communication Systems (Cont’d) 55 2 2 ___ 2 1 ___ ____ 2 n n n V V V   1 1 ____ 2 1 4 R B T k Vn  2 2 ____ 2 2 4 R B T k Vn  ) ( 4 2 2 1 1 ____ 2 R T R T B k Vn    ) ( 4 2 1 ____ 2 R R B kT Vn   Assume that R1 at temperature T1 and R2 at temperature T2, then i.e. The resistor in series at same temperature behave as a single resistor Resistors in Series
  • 56. 9. Analysis of Noise In Communication Systems (Cont’d) 56 Resistance in Parallel 2 1 2 1 1 R R R V V n o   2 1 1 2 2 R R R V V n o   2 2 ___ 2 1 ___ ____ 2 o o n V V V    ____ 2 n V                2 1 2 1 2 2 2 1 1 1 2 2 2 2 1 4 R R R R R T R R T R R R kB  2 2 1 2 2 1 1 2 1 _____ 2 ) ( 4 R R R T R T R R kB Vn              2 1 2 1 _____ 2 4 R R R R kTB Vn
  • 57. 10. Matched Communication Systems 57 In communication systems we are usually concerned with the noise (i.e. S/N) at the receiver end of the system. The transmission path may be for example:- Or An equivalent circuit, when the line is connected to the receiver is shown below.
  • 58. 10. Matched Communication Systems (Cont’d) 58
  • 59. 11. Signal to Noise 59 Power Noise Power Signal N S               N S N S dB 10 log 10 The signal to noise ratio is given by The signal to noise in dB is expressed by dBm dBm dB N S N S         for S and N measured in mW. 12. Noise Factor- Noise Figure Consider the network shown below,
  • 60. 60 12. Noise Factor- Noise Figure (Cont’d) • The amount of noise added by the network is embodied in the Noise Factor F, which is defined by Noise factor F =    OUT IN N S N S • F equals to 1 for noiseless network and in general F > 1. The noise figure in the noise factor quoted in dB i.e. Noise Figure F dB = 10 log10 F F ≥ 0 dB • The noise figure / factor is the measure of how much a network degrades the (S/N)IN, the lower the value of F, the better the network.
  • 61. 13. Noise Figure – Noise Factor for Active Elements 61    OUT IN N S N S OUT OUT IN IN S N N S OUT S IN S G  IN OUT IN IN S G N N S F  IN OUT N G N  For active elements with power gain G>1, we have F = = But Therefore Since in general F v> 1 , then OUT N is increased by noise due to the active element i.e. Na represents ‘added’ noise measured at the output. This added noise may be referred to the input as extra noise, i.e. as equivalent diagram is
  • 62. 13. Noise Figure – Noise Factor for Active Elements (Cont’d) 62 Ne is extra noise due to active elements referred to the input; the element is thus effectively noiseless.
  • 64. 15. Noise Figure – Noise Factor for Passive Elements 64
  • 65. 16. Review of Noise Factor – Noise Figure –Temperature 65
  • 66. 17. Cascaded Network 66 A receiver systems usually consists of a number of passive or active elements connected in series. A typical receiver block diagram is shown below, with example In order to determine the (S/N) at the input, the overall receiver noise figure or noise temperature must be determined. In order to do this all the noise must be referred to the same point in the receiver, for example to A, the feeder input or B, the input to the first amplifier. e T e N or is the noise referred to the input.
  • 67. 18. System Noise Figure 67 Assume that a system comprises the elements shown below, Assume that these are now cascaded and connected to an aerial at the input, with ae IN N N  from the aerial. Now ,   3 3 3 e IN OUT N N G N       IN IN N F N G 1 3 3 3    Since       IN IN e IN IN N F N G N N G N 1 2 2 2 2 2 2 3      similarly     IN ae IN N F N G N 1 1 1 2   
  • 68. 18. System Noise Figure (Cont’d) 68           IN IN IN ae OUT N F G N F G N F G N G G G N 1 1 1 3 3 2 2 1 1 1 2 3        The overall system Noise Factor is ae OUT IN OUT sys N G G G N GN N F 3 2 1         ae IN ae IN ae IN N N G G F N N G F N N F 2 1 3 1 2 1 1 1 1 1                1 2 1 3 2 1 4 2 1 3 1 2 1 .......... 1 . .......... 1 1 1            n n sys G G G F G G G F G G F G F F F The equation is called FRIIS Formula.
  • 69. 19. System Noise Temperature 69
  • 70. Online Links • https://nptel.ac.in/courses/117102059/ • https://onlinecourses.nptel.ac.in/noc18_ee03 /preview