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Analog & Digital communications
UNIT- 4
K. RAGHU
Assistant Professor
Department of ECE
Introduction
• Digital communication is a mode of communication where the
information or the thought is encoded digitally as discreet signals
and electronically transferred to the recipients.
• n digital communication information flows in a digital form and the
source is generally the keyboard of the computer. A single individual
is capable of digital communication and thus it also saves wastage of
manpower and is one of the cheapest modes of communication.
• Digital communication is also a really quick way to communicate.
The information can reach the recipient within a fraction of a
second. An individual no longer has to wait to personally meet the
other individual and share his information.
Advantages
• The digital communication has mostly common structure of
encoding a signal so devices used are mostly similar.
• The Digital Communication's main advantage is that it provides us
added security to our information signal.
• The digital Communication system has more immunity to noise and
external interference.
• Digital information can be saved and retrieved when necessary
while it is not possible in analog.
• Digital Communication is cheaper than Analog Communication.
• The configuring process of digital communication system is simple
as compared to analog communication system. Although, they are
complex.
• In Digital Communication System, the error correction and
detection techniques can be implemented easily.
Disadvantages
• Disadvantages of digital communication:
1). Generally, more bandwidth is required than that for analog
systems.
2). Synchronization is required.
3). High power consumption (Due to various stages of conversion).
4). Complex circuit, more sophisticated device making is also
drawbacks of digital system.
5). Introduce sampling error
6). As square wave is more affected by noise, That’s why while
communicating through channel we send sin waves but while
operating on device we use squire pulses.
Shannon–Hartley theorem
• The Shannon–Hartley theorem states the channel capacity C,
meaning the theoretical tightest upper bound on the information
rate of data that can be communicated at an arbitrarily low error
rate using an average received signal power S through an analog
communication channel subject to additive white Gaussian noise of
power N:
• Where C is the channel capacity in bits per second, a theoretical
upper bound on the net bit rate (information rate, sometimes
denoted I) excluding error-correction codes;
• B is the bandwidth of the channel in hertz (passband bandwidth in
case of a bandpass signal);
• S is the average received signal power over the bandwidth (in case
of a carrier-modulated passband transmission, often denoted C),
measured in watts (or volts squared);
• N is the average power of the noise and interference over the
bandwidth, measured in watts (or volts squared); and
• S/N is the signal-to-noise ratio (SNR) or the carrier-to-noise
ratio (CNR) of the communication signal to the noise and
interference at the receiver (expressed as a linear power ratio, not
as logarithmic decibels).
Sampling theorem
• Statement: A continuous time signal can be represented in its
samples and can be recovered back when sampling frequency fs is
greater than or equal to the twice the highest frequency component
of message signal. i. e.
• fs≥2fm.fs≥2fm.
• Proof: Consider a continuous time signal x(t). The spectrum of x(t)
is a band limited to fm Hz i.e. the spectrum of x(t) is zero for |ω|>ωm
• Sampling of input signal x(t) can be obtained by multiplying x(t)
with an impulse train δ(t) of period Ts. The output of multiplier is a
discrete signal called sampled signal which is represented with y(t)
in the following diagrams:
Sampling effect
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
10
Pulse-Code Modulation
 In PCM, a message signal is represented by a sequence of coded pulses, obtained
from representing the signal in discrete form in both time an amplitude.
 As shown by Figure 3.13 the basic operations performed at the transmitter are:
sampling, quantization, and encoding.
 The basic operations in the receiver are regeneration of impaired signals, decoding
and reconstruction.
 Regeneration also occurs during the route of transmission.
 In PCM of voice signals, non-uniform quantization is used to allow smaller
quantization step sizes form smaller amplitudes and larger step sizes for larger
amplitudes so that the (SNR)o remains quasi-constant for all levels of amplitudes.
 To use non-uniform quantization, the message signal is passed through a
compressor, then a uniform quantization is applied to the compressed signal. At
the receiver an expander circuit is used to undo the effect of the compressor.
Pulse Code Modulation(PCM)
Two types of quantization: (a) midtread
and (b) midrise.
Illustration of the quantization
process. (Adapted from Bennett, 1948,
with permission of AT&T.)
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
14
Block diagram of regenerative repeater.
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
15
Regeneration
 A regenerative repeater (see Figure 3.18) consists of (1) an equalizer, (2) a timing circuit,
and (3) a decision-making device. The equalizer is used to undo the effect of the
transmission channel to get back the pulses in their original shape before transmission. The
timing circuit is used to recover the clock of the transmitted symbols (pulses), which is then
used in the decision-making process. The function of the decision-making device is to
detect the different pulses based on some threshold information.
 The purpose of a regenerative repeater is to clean the PCM signal during its transmission
through a channel.
DPCM
e(nTs)=m(nTs)-m(nTs)
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
21
Block diagram of Linear prediction filter of order p.
ADVANTAGES OF DPCM
1)BANDWIDTH REQUIREMENT OF DPCM IS LESS
COMPARED TO PCM.
2) QUANTIZATION ERROR IS REDUCED BECAUSE
OF PREDICTION FILTER.
3) NUMBERS OF BITS USED TO REPRESENT . ONE
SAMPLE VALUE ARE ALSO REDUCED
COMPARED TO PCM
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
25
Figure 3.23
DM system.
(a) Transmitter.
(b) Receiver.
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
26
Delta Modulation (DM)
 In DM, the message signal is over-sampled to purposely increase correlation
between adjacent samples.
 The DM provides a staircase approximation to the message signal m(t) as shown in
Figure 3.22.
 The difference e[nTs]=m[nTs]-mq[(n-1)Ts] is quantized into only two levels .
 The error e[nTs] is quantized to give
eq= sgn(e[nTs]).
The quantity eq is then used to compute the new
quantized level
mq[nTs]=mq[(n-1)Ts]+eq[nTs]
 In DM the quantization levels are represented by two symbols: 0 for - and 1 for
+. In fact the coding process is performed on eq.
 The main advantage of DM is its simplicity as shown by Figure 3.23.
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
27
Figure 3.22
Illustration of delta modulation.
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
28
Figure 3.24
Illustration of the two different forms of
quantization error in delta modulation.
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
29
Delta Modulation (Cont’d)
 The transmitter of a DM system (Figure 3.23a) is given by a comparator, a one-bit quantizer,
an accumulator, and an encoder.
 The receiver of a DM system (Figure 3.23b) is given by a decoder, an accumulator, and a low-
pass filter.
 DM is subject to two types of quantization error: Slope overload distortion and granular noise
(see Figure 3.24).
 Slope overload distortion is due to the fact that the staircase approximation mq(t) can't follow
closely the actual curve of the message signal m(t). In order for mq(t) to follow closely m(t), it
is required that
dt
tdm
Ts
)(
max

be satisfied. Otherwise, step-size  is too small for the staircase approximation mq(t) to follow
m(t).
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
30
Delta Modulation (Cont’d)
 In contrast to slope-overload distortion, granular noise occurs when  is too large relative to
the local slope characteristics of m(t). granular noise is similar to quantization noise in PCM.
 It seems that a large  is needed for rapid variations of m(t) to reduce the slope-overload
distortion and a small  is needed for slowly varying m(t) to reduce the granular noise. The
optimum  can only be a compromise between the two cases.
 To satisfy both cases, an adaptive DM is needed, where the step size  can be adjusted in
accordance with the input signal m(t).
Condition for Slope overload distortion occurrence
***SNR for DM System
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
39
Adaptive DPCM
 In PCM, the standard bit rate is 64 kbits/s. The aim of all the variants of PCM is to reduce
the number of bits used in the encoding process by removing redundancies.
 Adaptive DPCM (ADPCM) is a scheme that permits the coding of speech (voice) signals
at 32 kbits/s through the combined use of adaptive quantization and adaptive prediction.
 Adaptive quantization refers to a quantizer that operates with a time-varying step-size
)(ˆ)( kk M and adaptive prediction filter refers to a filter with time-varying
coefficients.  is a constant and )(ˆ kM is an estimate of the standard deviation of m(k).
 In ADPCM adaptive quantization can be performed using adaptive quantization with
forward estimation (AQF) or adaptive quantization with backward estimation (AQB).
 In ADPCM adaptive prediction can be performed using adaptive prediction with forward
estimation (APF) or adaptive prediction with backward estimation (APB).
 AQF and APF use unquantized samples of the input message signal to estimate M and the
predictor coefficients w, respectively.
 AQB and APB use quantized samples of the input message signal to estimate M and the
predictor coefficients w, respectively.
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
40
Adaptive DPCM (Continued)
 Both AQF and APF suffer from the same disadvantages, which are the buffering, the side
(extra) information to be transmitted, and the delay. But by using AQB and APB these
disadvantages are eliminated.
 Figure 3.29 shows the AQB scheme and Figure 3.30 shows the APB scheme.
41
Figure 3.30
Adaptive prediction with backward estimation (APB).
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
42
Figure 3.31
Adaptive delta modulation system: (a) Transmitter. (b) Receiver.
8/10/2020
©2000, John Wiley & Sons, Inc.
Haykin/Communication Systems, 4th Ed
43
Figure 3.32
Waveforms resulting from the computer experiment on delta
modulation: (a) Linear delta modulation. (b) Adaptive delta
modulation.
• On-Off : ‘1’ with Constant Amplitude and Duration of T
‘ 0’ is Represented by Switching off the Pulse
• NRZ: Symbols 1 and 0 are represented by Positive &
Negative Amplitudes
• RZ: Symbol 1 with Positive Rectangular Pulse of Half
Symbol Width and 0 with No Transmitting Pulse.
• Bipolar RZ: Positive & Negative pulses of equal amplitute and
are used alternatively for 1 and no pulse for 0
• Mancheter Code: Symbol 1 with Positive pulse followed by a
negative pulse with both pulses of equal amplitude
and half symbol width for symbol 0 the polarities of
these two pulse are reversed .
• Differential Encoding: Transition is used to designate symbol 0
and while no transition for symbol 1
TDM
Thank You!!!!

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Digital Communication Sytems

  • 1. Analog & Digital communications UNIT- 4 K. RAGHU Assistant Professor Department of ECE
  • 2. Introduction • Digital communication is a mode of communication where the information or the thought is encoded digitally as discreet signals and electronically transferred to the recipients. • n digital communication information flows in a digital form and the source is generally the keyboard of the computer. A single individual is capable of digital communication and thus it also saves wastage of manpower and is one of the cheapest modes of communication. • Digital communication is also a really quick way to communicate. The information can reach the recipient within a fraction of a second. An individual no longer has to wait to personally meet the other individual and share his information.
  • 3. Advantages • The digital communication has mostly common structure of encoding a signal so devices used are mostly similar. • The Digital Communication's main advantage is that it provides us added security to our information signal. • The digital Communication system has more immunity to noise and external interference. • Digital information can be saved and retrieved when necessary while it is not possible in analog. • Digital Communication is cheaper than Analog Communication. • The configuring process of digital communication system is simple as compared to analog communication system. Although, they are complex. • In Digital Communication System, the error correction and detection techniques can be implemented easily.
  • 4. Disadvantages • Disadvantages of digital communication: 1). Generally, more bandwidth is required than that for analog systems. 2). Synchronization is required. 3). High power consumption (Due to various stages of conversion). 4). Complex circuit, more sophisticated device making is also drawbacks of digital system. 5). Introduce sampling error 6). As square wave is more affected by noise, That’s why while communicating through channel we send sin waves but while operating on device we use squire pulses.
  • 5. Shannon–Hartley theorem • The Shannon–Hartley theorem states the channel capacity C, meaning the theoretical tightest upper bound on the information rate of data that can be communicated at an arbitrarily low error rate using an average received signal power S through an analog communication channel subject to additive white Gaussian noise of power N:
  • 6. • Where C is the channel capacity in bits per second, a theoretical upper bound on the net bit rate (information rate, sometimes denoted I) excluding error-correction codes; • B is the bandwidth of the channel in hertz (passband bandwidth in case of a bandpass signal); • S is the average received signal power over the bandwidth (in case of a carrier-modulated passband transmission, often denoted C), measured in watts (or volts squared); • N is the average power of the noise and interference over the bandwidth, measured in watts (or volts squared); and • S/N is the signal-to-noise ratio (SNR) or the carrier-to-noise ratio (CNR) of the communication signal to the noise and interference at the receiver (expressed as a linear power ratio, not as logarithmic decibels).
  • 7. Sampling theorem • Statement: A continuous time signal can be represented in its samples and can be recovered back when sampling frequency fs is greater than or equal to the twice the highest frequency component of message signal. i. e. • fs≥2fm.fs≥2fm. • Proof: Consider a continuous time signal x(t). The spectrum of x(t) is a band limited to fm Hz i.e. the spectrum of x(t) is zero for |ω|>ωm • Sampling of input signal x(t) can be obtained by multiplying x(t) with an impulse train δ(t) of period Ts. The output of multiplier is a discrete signal called sampled signal which is represented with y(t) in the following diagrams:
  • 8.
  • 10. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 10 Pulse-Code Modulation  In PCM, a message signal is represented by a sequence of coded pulses, obtained from representing the signal in discrete form in both time an amplitude.  As shown by Figure 3.13 the basic operations performed at the transmitter are: sampling, quantization, and encoding.  The basic operations in the receiver are regeneration of impaired signals, decoding and reconstruction.  Regeneration also occurs during the route of transmission.  In PCM of voice signals, non-uniform quantization is used to allow smaller quantization step sizes form smaller amplitudes and larger step sizes for larger amplitudes so that the (SNR)o remains quasi-constant for all levels of amplitudes.  To use non-uniform quantization, the message signal is passed through a compressor, then a uniform quantization is applied to the compressed signal. At the receiver an expander circuit is used to undo the effect of the compressor.
  • 12. Two types of quantization: (a) midtread and (b) midrise.
  • 13. Illustration of the quantization process. (Adapted from Bennett, 1948, with permission of AT&T.)
  • 14. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 14 Block diagram of regenerative repeater.
  • 15. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 15 Regeneration  A regenerative repeater (see Figure 3.18) consists of (1) an equalizer, (2) a timing circuit, and (3) a decision-making device. The equalizer is used to undo the effect of the transmission channel to get back the pulses in their original shape before transmission. The timing circuit is used to recover the clock of the transmitted symbols (pulses), which is then used in the decision-making process. The function of the decision-making device is to detect the different pulses based on some threshold information.  The purpose of a regenerative repeater is to clean the PCM signal during its transmission through a channel.
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  • 17. DPCM
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  • 21. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 21 Block diagram of Linear prediction filter of order p.
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  • 23. ADVANTAGES OF DPCM 1)BANDWIDTH REQUIREMENT OF DPCM IS LESS COMPARED TO PCM. 2) QUANTIZATION ERROR IS REDUCED BECAUSE OF PREDICTION FILTER. 3) NUMBERS OF BITS USED TO REPRESENT . ONE SAMPLE VALUE ARE ALSO REDUCED COMPARED TO PCM
  • 24.
  • 25. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 25 Figure 3.23 DM system. (a) Transmitter. (b) Receiver.
  • 26. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 26 Delta Modulation (DM)  In DM, the message signal is over-sampled to purposely increase correlation between adjacent samples.  The DM provides a staircase approximation to the message signal m(t) as shown in Figure 3.22.  The difference e[nTs]=m[nTs]-mq[(n-1)Ts] is quantized into only two levels .  The error e[nTs] is quantized to give eq= sgn(e[nTs]). The quantity eq is then used to compute the new quantized level mq[nTs]=mq[(n-1)Ts]+eq[nTs]  In DM the quantization levels are represented by two symbols: 0 for - and 1 for +. In fact the coding process is performed on eq.  The main advantage of DM is its simplicity as shown by Figure 3.23.
  • 27. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 27 Figure 3.22 Illustration of delta modulation.
  • 28. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 28 Figure 3.24 Illustration of the two different forms of quantization error in delta modulation.
  • 29. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 29 Delta Modulation (Cont’d)  The transmitter of a DM system (Figure 3.23a) is given by a comparator, a one-bit quantizer, an accumulator, and an encoder.  The receiver of a DM system (Figure 3.23b) is given by a decoder, an accumulator, and a low- pass filter.  DM is subject to two types of quantization error: Slope overload distortion and granular noise (see Figure 3.24).  Slope overload distortion is due to the fact that the staircase approximation mq(t) can't follow closely the actual curve of the message signal m(t). In order for mq(t) to follow closely m(t), it is required that dt tdm Ts )( max  be satisfied. Otherwise, step-size  is too small for the staircase approximation mq(t) to follow m(t).
  • 30. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 30 Delta Modulation (Cont’d)  In contrast to slope-overload distortion, granular noise occurs when  is too large relative to the local slope characteristics of m(t). granular noise is similar to quantization noise in PCM.  It seems that a large  is needed for rapid variations of m(t) to reduce the slope-overload distortion and a small  is needed for slowly varying m(t) to reduce the granular noise. The optimum  can only be a compromise between the two cases.  To satisfy both cases, an adaptive DM is needed, where the step size  can be adjusted in accordance with the input signal m(t).
  • 31. Condition for Slope overload distortion occurrence
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  • 33. ***SNR for DM System
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  • 39. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 39 Adaptive DPCM  In PCM, the standard bit rate is 64 kbits/s. The aim of all the variants of PCM is to reduce the number of bits used in the encoding process by removing redundancies.  Adaptive DPCM (ADPCM) is a scheme that permits the coding of speech (voice) signals at 32 kbits/s through the combined use of adaptive quantization and adaptive prediction.  Adaptive quantization refers to a quantizer that operates with a time-varying step-size )(ˆ)( kk M and adaptive prediction filter refers to a filter with time-varying coefficients.  is a constant and )(ˆ kM is an estimate of the standard deviation of m(k).  In ADPCM adaptive quantization can be performed using adaptive quantization with forward estimation (AQF) or adaptive quantization with backward estimation (AQB).  In ADPCM adaptive prediction can be performed using adaptive prediction with forward estimation (APF) or adaptive prediction with backward estimation (APB).  AQF and APF use unquantized samples of the input message signal to estimate M and the predictor coefficients w, respectively.  AQB and APB use quantized samples of the input message signal to estimate M and the predictor coefficients w, respectively.
  • 40. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 40 Adaptive DPCM (Continued)  Both AQF and APF suffer from the same disadvantages, which are the buffering, the side (extra) information to be transmitted, and the delay. But by using AQB and APB these disadvantages are eliminated.  Figure 3.29 shows the AQB scheme and Figure 3.30 shows the APB scheme.
  • 41. 41 Figure 3.30 Adaptive prediction with backward estimation (APB).
  • 42. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 42 Figure 3.31 Adaptive delta modulation system: (a) Transmitter. (b) Receiver.
  • 43. 8/10/2020 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 43 Figure 3.32 Waveforms resulting from the computer experiment on delta modulation: (a) Linear delta modulation. (b) Adaptive delta modulation.
  • 44. • On-Off : ‘1’ with Constant Amplitude and Duration of T ‘ 0’ is Represented by Switching off the Pulse • NRZ: Symbols 1 and 0 are represented by Positive & Negative Amplitudes • RZ: Symbol 1 with Positive Rectangular Pulse of Half Symbol Width and 0 with No Transmitting Pulse. • Bipolar RZ: Positive & Negative pulses of equal amplitute and are used alternatively for 1 and no pulse for 0 • Mancheter Code: Symbol 1 with Positive pulse followed by a negative pulse with both pulses of equal amplitude and half symbol width for symbol 0 the polarities of these two pulse are reversed . • Differential Encoding: Transition is used to designate symbol 0 and while no transition for symbol 1
  • 45.
  • 46. TDM