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DIGITAL MODULATION
TECHNIQUES
WHAT IS DIGITAL COMMUNICATION?

   Digital communications broadly refers to the
    transmission of information using digital messages or
    bit streams.
   There are notable advantages to transmitting data
    using discrete messages.
   Errors caused by noise and interference can be
    detected and corrected systematically.
   Digital communications also make the networking of
    heterogeneous systems possible, with the Internet
      being the most obvious such example.
DIGITAL COMMUNICATION
DIGITAL COMMNICATION
•Information Source and Input Transducer:

The source of information can be analog or digital, e.g. analog: audio or video signal,
digital: like teletype signal. In digital communication the signal produced by this source
is converted into digital signal consists of 1′s and 0′s. For this we need source encoder.

Source Encoder
In digital communication we convert the signal from source into digital signal as
mentioned above. The point to remember is we should like to use as few binary digits
as possible to represent the signal. In such a way this efficient representation of the
source output results in little or no redundancy. This sequence of binary digits is called
information sequence.
Source Encoding or Data Compression: the process of efficiently converting the output
of wither analog or digital source into a sequence of binary digits is known as source
encoding.
DIGITAL COMMNICATION
Channel Encoder:
The information sequence is passed through the channel encoder. The purpose of the
channel encoder is to introduced, in controlled manner, some redundancy in the
binary information sequence that can be used at the receiver to overcome the effects
of noise and interference encountered in the transmission on the signal through the
channel.
e.g. take k bits of the information sequence and map that k bits to unique n bit
sequence called code word. The amount of redundancy introduced is measured by the
ratio n/k and the reciprocal of this ratio (k/n) is known as rate of code or code rate.

Digital Modulator:
The binary sequence is passed to digital modulator which in turns convert the
sequence into electric signals so that we can transmit them on channel (we will see
channel later). The digital modulator maps the binary sequences into signal wave
forms , for example if we represent 1 by sin x and 0 by cos x then we will transmit sin x
for 1 and cos x for 0. ( a case similar to BPSK)
DIGITAL COMMNICATION
Channel:
The communication channel is the physical medium that is used for transmitting signals
from transmitter to receiver. In wireless system, this channel consists of atmosphere ,
for traditional telephony, this channel is wired , there are optical channels, under water
acoustic cahnenls etc.


Digital Demodulator:
The digital demodulator processes the channel corrupted transmitted waveform and
reduces the waveform to the sequence of numbers that represents estimates of the
transmitted data symbols.
DIGITAL COMMNICATION
Channel Decoder:
This sequence of numbers then passed through the channel decoder which attempts to
reconstruct the original information sequence from the knowledge of the code used by
the channel encoder and the redundancy contained in the received data


Source Decoder
At the end, if an analog signal is desired then source decoder tries to decode the
sequence from the knowledge of the encoding algorithm. And which results in the
approximate replica of the input at the transmitter end
DIGITAL COMMNICATION
Channel Decoder:
This sequence of numbers then passed through the channel decoder which attempts to
reconstruct the original information sequence from the knowledge of the code used by
the channel encoder and the redundancy contained in the received data


Source Decoder
At the end, if an analog signal is desired then source decoder tries to decode the
sequence from the knowledge of the encoding algorithm. And which results in the
approximate replica of the input at the transmitter end


Output Transducer:
Finally we get the desired signal in desired format analog or digital.
PULSE MODULATION
PULSE MODULATION
SAMPLING
SAMPLING THEOREM
3 ANALOG PULSE MODULATION :
PULSE AMPLITUDE MODULATION (PAM)

 Analog pulse




Sample pulse



 The amplitude of a constant width, constant position pulse is varied according to the
amplitude of the sample of the analog signal.

 the amplitude of a pulse coincides with the amplitude of the analog signal.
PULSE WIDTH MODULATION (PWM)




 A constant amplitude pulse is varied proportional to the amplitude of the
analog signal at the time the signal is sampled.
 The maximum analog signal amplitude produces the widest pulse, and the
minimum analog signal amplitude produces the narrowest pulse.
 All pulses have the same amplitude.
PULSE POSITION MODULATION (PPM)




 The position of a constant-width pulse within prescribed time slot is varied
according to the amplitude of the sample of the analog signal.
 The higher the amplitude of the sample, the farther to the right the pulse
is positioned within the prescribed time slot.
 The highest amplitude sample produces a pulse to the far right, and the
lowest amplitude sample produces a pulse to the far left.
DIGITAL PULSE MODULATION (DPM)


• In DPM, a code used to represent the amplitude of
  the samples that has been divided into various levels.
• There are 2 types of DPM:
   – Pulse Code Modulation
   – Delta Modulation
PULSE CODE MODULATION (PCM)
•   PCM is a form of modulation, which uses coded group of pulses to represent certain values of
    the information signal.
•   The analog signal is sampled and then converted to a serial n-bit binary code for
    transmission.
•   Each code has the same number of bits and requires the same length of time or
    transmission.
PCM BLOCK DIAGRAM


Analogue         Low Pass                                   Low Pass       Analogue
Signal           Filter                                     Filter         Signal




                            Quantiser   Encoder   Decoder       Expander
           Sampler
PCM BLOCK DIAGRAM
 • PCM is a form of modulation, which uses coded group of
 pulses to represent certain values of the information signal.

 • The information signal is limited to a certain maximum
 freq and sampled and changed to PAM.

 • The PAM signal is then quantise by the quantiser and
 then changed into the binary code by the encoder.

 • Then the PCM signal is sent through the cable.

 • PCM has superior signal to signal characteristics for a
 given bandwidth.
PCM BLOCK DIAGRAM
PCM TRANSMITTER
PCM RECEIVER
PULSE CODE MODULATION (PCM)




    The 3 main processes in PCM:

          1) Sampling
          2) Quantization
          3) Encoding
PCM - SAMPLING


  Process of taking samples of the information signals at
  Nyquist Rate :
                        fs ≥ 2fmax
  fs – frequency sampling
  fm – modulating frequency

  Minimum freq sampling, fs = 2fm
PCM - QUANTIZATION

  • The amplitude of the samples are then divided into
  respective levels. The number of levels for the samples
  depend on the number of bits used to code the signal.

  • The relationship between the number of bits (B) is given
                       B
  by the equation: M= 2

            M- Number of levels
            B – Bits/ samples
  •The more levels used means that an analogue signal can be
  describe more accurate.
PCM - ENCODING

  • In this process, the samples that has been divided into
  various levels is coded into respective codes where the
  samples that have the same number of level are coded into
  the same code.

  • The number of bits depends on the number of level used
  to quantise the samples.

            B = log2 M
PCM
DELTA MODULATION
DELTA MODULATION


• Next form of pulse modulation
• Transmits information only to indicate whether the
analog signal that is being encoded goes up or goes
down
• The Encoder Outputs are highs or lows that
“instruct” whether to go up or down, respectively
• DM takes advantage of the fact that voice signals
do not change abruptly
DELTA MODULATION
DELTA MODULATION




  There are two problems associated with delta modulation that do
  not occur with conventional PCM: slope   overload and
  granular noise.
DELTA MODULATION (Quantization
Errors)
SLOPE OVERLOAD

• When the analog input signal changes at a
faster rate than the DAC can maintain.
• The slope of the analog signal is greater than
the delta modulator can maintain and is called slope
overload.
•    Increasing the clock frequency reduces the
probability of slope overload occurring.
•    Another way to prevent slope overload is to
increase the magnitude of the minimum step size.
SLOPE OVERLOAD
GRANULAR NOISE




•    When the original analog input signal has a
relatively constant amplitude, the reconstructed
signal has variations that were not present in the
original signal.
DELTA MODULATION (Quantization
Errors)
DELTA SIGMA MODULATION



   The modulation which has an integrator can relieve the draw back of
   delta modulation (differentiator)

   Beneficial effects of using integrator:
      1. Pre-emphasize the low-frequency content
      2. Increase correlation between adjacent samples
       (reduce the variance of the error signal at the quantizer input )
      3. Simplify receiver design
     Because the transmitter has an integrator , the receiver consists simply
   of a low-pass filter. (The differentiator in the conventional DM receiver is
   cancelled by the integrator )
DELTA SIGMA MODULATION
DELTA SIGMA MODULATION
Signal-to-Quantization-Noise Ratio
(SQNR or SNqR)
• is a measurement of the effect of quantization errors introduced by
analog-to-digital conversion at the ADC.

    Refer to page 421 - 422
MODEM (Modulation & Demodulation)
MODEM CONNECTION



     PC                                                   PC
                          MODEM
                                  MODEM
                110011
                                                110011



                         DCE              DCE

          DTE                                            DTE
MODEM BLOCK DIAGRAM
MODEM BLOCK DIAGRAM
MODEM BLOCK DIAGRAM
COMMON MODEM USED:
MULTIPLEXING
MULTIPLEXING (MUX)




General multiplex scheme: the ν input lines-channels are multiplexed into a single fast
line. The demultiplexer receives the multiplexed data stream and extracts the original
channels to be transferred
MULTIPLEXING (MUX)
MULTIPLEXING (MUX)
FREQUENCY DIVISION MULTIPLEXING




                       FDM
TIME DIVISION MULTIPLEXING




                      TDM
WAVELENGTH DIVISION MULTIPLEXING
WDM
CDMA (CODE DIVISION MULTIPLE ACCESS)
CDMA
COMPARE BETWEEN TDM & FDM
COMPARE BETWEEN TDM & FDM

      The primary difference between FDM and TDM is how they divide the
channel. FDM divides the channel into two or more frequency ranges that do
not overlap, while TDM divides and allocates certain time periods to each
channel in an alternating manner.

      Due to this fact, we can say that for TDM, each signal uses all of the
bandwidth some of the time, while for FDM, each signal uses a small portion of
the bandwidth all of the time.


      TDM provides greater flexibility and efficiency, by dynamically allocating
more time periods to the signals that need more of the bandwidth, while
reducing the time periods to those signals that do not need it. FDM lacks this
type of flexibility, as it cannot dynamically change the width of the allocated
frequency.
COMPARE BETWEEN TDM & FDM

      The advantage of FDM over TDM is in latency. Latency is the time it
takes for the data to reach its destination.

      As TDM allocates time periods, only one channel can transmit at a given
time, and some data would often be delayed, though it’s often only in
milliseconds. Since channels in FDM can transmit at any time, their latencies
would be much lower compared to TDM.

     FDM is often used in applications where latency is of utmost priority, such
as those that require real-time information.
FDM and TDM are often used in tandem, to create even more channels in a
given frequency range. The common practice is to divide the channel with
FDM, so that you have a dedicated channel with a smaller frequency range.
Each of the FDM channels is then occupied by multiple channels that are
multiplexed using TDM. This is what telecoms do to allow a huge number of
users to use a certain frequency band.
COMPARE BETWEEN MUX & MULTIPLE
ACCESS
INFORMATION CAPACITY


 •Is a measure of how much information can be propagated
 through a communications system and is a function of
 bandwidth and transmission time.

 •Information capacity represents the number of independent
 symbols that can carried through a system in a given unit of
 time.

 •The most basic digital symbol used to represent information
 is the bit.
BIT, BIT RATE, BAUD, BANDWIDTH
BANDWIDTH
SHANNON’S LIMIT & M-ary ENCODING
DIGITAL MODULATION TECHNIQUES
Amplitude Shift Keying (ASK)
Frequency Shift Keying (FSK)
Phase Shift Keying (PSK)

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Digital modulation

  • 2. WHAT IS DIGITAL COMMUNICATION?  Digital communications broadly refers to the transmission of information using digital messages or bit streams.  There are notable advantages to transmitting data using discrete messages.  Errors caused by noise and interference can be detected and corrected systematically.  Digital communications also make the networking of heterogeneous systems possible, with the Internet being the most obvious such example.
  • 4. DIGITAL COMMNICATION •Information Source and Input Transducer: The source of information can be analog or digital, e.g. analog: audio or video signal, digital: like teletype signal. In digital communication the signal produced by this source is converted into digital signal consists of 1′s and 0′s. For this we need source encoder. Source Encoder In digital communication we convert the signal from source into digital signal as mentioned above. The point to remember is we should like to use as few binary digits as possible to represent the signal. In such a way this efficient representation of the source output results in little or no redundancy. This sequence of binary digits is called information sequence. Source Encoding or Data Compression: the process of efficiently converting the output of wither analog or digital source into a sequence of binary digits is known as source encoding.
  • 5. DIGITAL COMMNICATION Channel Encoder: The information sequence is passed through the channel encoder. The purpose of the channel encoder is to introduced, in controlled manner, some redundancy in the binary information sequence that can be used at the receiver to overcome the effects of noise and interference encountered in the transmission on the signal through the channel. e.g. take k bits of the information sequence and map that k bits to unique n bit sequence called code word. The amount of redundancy introduced is measured by the ratio n/k and the reciprocal of this ratio (k/n) is known as rate of code or code rate. Digital Modulator: The binary sequence is passed to digital modulator which in turns convert the sequence into electric signals so that we can transmit them on channel (we will see channel later). The digital modulator maps the binary sequences into signal wave forms , for example if we represent 1 by sin x and 0 by cos x then we will transmit sin x for 1 and cos x for 0. ( a case similar to BPSK)
  • 6. DIGITAL COMMNICATION Channel: The communication channel is the physical medium that is used for transmitting signals from transmitter to receiver. In wireless system, this channel consists of atmosphere , for traditional telephony, this channel is wired , there are optical channels, under water acoustic cahnenls etc. Digital Demodulator: The digital demodulator processes the channel corrupted transmitted waveform and reduces the waveform to the sequence of numbers that represents estimates of the transmitted data symbols.
  • 7. DIGITAL COMMNICATION Channel Decoder: This sequence of numbers then passed through the channel decoder which attempts to reconstruct the original information sequence from the knowledge of the code used by the channel encoder and the redundancy contained in the received data Source Decoder At the end, if an analog signal is desired then source decoder tries to decode the sequence from the knowledge of the encoding algorithm. And which results in the approximate replica of the input at the transmitter end
  • 8. DIGITAL COMMNICATION Channel Decoder: This sequence of numbers then passed through the channel decoder which attempts to reconstruct the original information sequence from the knowledge of the code used by the channel encoder and the redundancy contained in the received data Source Decoder At the end, if an analog signal is desired then source decoder tries to decode the sequence from the knowledge of the encoding algorithm. And which results in the approximate replica of the input at the transmitter end Output Transducer: Finally we get the desired signal in desired format analog or digital.
  • 13. 3 ANALOG PULSE MODULATION :
  • 14. PULSE AMPLITUDE MODULATION (PAM) Analog pulse Sample pulse  The amplitude of a constant width, constant position pulse is varied according to the amplitude of the sample of the analog signal.  the amplitude of a pulse coincides with the amplitude of the analog signal.
  • 15. PULSE WIDTH MODULATION (PWM)  A constant amplitude pulse is varied proportional to the amplitude of the analog signal at the time the signal is sampled.  The maximum analog signal amplitude produces the widest pulse, and the minimum analog signal amplitude produces the narrowest pulse.  All pulses have the same amplitude.
  • 16. PULSE POSITION MODULATION (PPM)  The position of a constant-width pulse within prescribed time slot is varied according to the amplitude of the sample of the analog signal.  The higher the amplitude of the sample, the farther to the right the pulse is positioned within the prescribed time slot.  The highest amplitude sample produces a pulse to the far right, and the lowest amplitude sample produces a pulse to the far left.
  • 17. DIGITAL PULSE MODULATION (DPM) • In DPM, a code used to represent the amplitude of the samples that has been divided into various levels. • There are 2 types of DPM: – Pulse Code Modulation – Delta Modulation
  • 18. PULSE CODE MODULATION (PCM) • PCM is a form of modulation, which uses coded group of pulses to represent certain values of the information signal. • The analog signal is sampled and then converted to a serial n-bit binary code for transmission. • Each code has the same number of bits and requires the same length of time or transmission.
  • 19. PCM BLOCK DIAGRAM Analogue Low Pass Low Pass Analogue Signal Filter Filter Signal Quantiser Encoder Decoder Expander Sampler
  • 20. PCM BLOCK DIAGRAM • PCM is a form of modulation, which uses coded group of pulses to represent certain values of the information signal. • The information signal is limited to a certain maximum freq and sampled and changed to PAM. • The PAM signal is then quantise by the quantiser and then changed into the binary code by the encoder. • Then the PCM signal is sent through the cable. • PCM has superior signal to signal characteristics for a given bandwidth.
  • 24. PULSE CODE MODULATION (PCM) The 3 main processes in PCM: 1) Sampling 2) Quantization 3) Encoding
  • 25. PCM - SAMPLING Process of taking samples of the information signals at Nyquist Rate : fs ≥ 2fmax fs – frequency sampling fm – modulating frequency Minimum freq sampling, fs = 2fm
  • 26. PCM - QUANTIZATION • The amplitude of the samples are then divided into respective levels. The number of levels for the samples depend on the number of bits used to code the signal. • The relationship between the number of bits (B) is given B by the equation: M= 2 M- Number of levels B – Bits/ samples •The more levels used means that an analogue signal can be describe more accurate.
  • 27. PCM - ENCODING • In this process, the samples that has been divided into various levels is coded into respective codes where the samples that have the same number of level are coded into the same code. • The number of bits depends on the number of level used to quantise the samples. B = log2 M
  • 28. PCM
  • 30. DELTA MODULATION • Next form of pulse modulation • Transmits information only to indicate whether the analog signal that is being encoded goes up or goes down • The Encoder Outputs are highs or lows that “instruct” whether to go up or down, respectively • DM takes advantage of the fact that voice signals do not change abruptly
  • 32. DELTA MODULATION There are two problems associated with delta modulation that do not occur with conventional PCM: slope overload and granular noise.
  • 34. SLOPE OVERLOAD • When the analog input signal changes at a faster rate than the DAC can maintain. • The slope of the analog signal is greater than the delta modulator can maintain and is called slope overload. • Increasing the clock frequency reduces the probability of slope overload occurring. • Another way to prevent slope overload is to increase the magnitude of the minimum step size.
  • 36. GRANULAR NOISE • When the original analog input signal has a relatively constant amplitude, the reconstructed signal has variations that were not present in the original signal.
  • 38. DELTA SIGMA MODULATION The modulation which has an integrator can relieve the draw back of delta modulation (differentiator) Beneficial effects of using integrator: 1. Pre-emphasize the low-frequency content 2. Increase correlation between adjacent samples (reduce the variance of the error signal at the quantizer input ) 3. Simplify receiver design Because the transmitter has an integrator , the receiver consists simply of a low-pass filter. (The differentiator in the conventional DM receiver is cancelled by the integrator )
  • 41. Signal-to-Quantization-Noise Ratio (SQNR or SNqR) • is a measurement of the effect of quantization errors introduced by analog-to-digital conversion at the ADC.  Refer to page 421 - 422
  • 42. MODEM (Modulation & Demodulation)
  • 43. MODEM CONNECTION PC PC MODEM MODEM 110011 110011 DCE DCE DTE DTE
  • 49. MULTIPLEXING (MUX) General multiplex scheme: the ν input lines-channels are multiplexed into a single fast line. The demultiplexer receives the multiplexed data stream and extracts the original channels to be transferred
  • 55. WDM
  • 56. CDMA (CODE DIVISION MULTIPLE ACCESS)
  • 57. CDMA
  • 59. COMPARE BETWEEN TDM & FDM  The primary difference between FDM and TDM is how they divide the channel. FDM divides the channel into two or more frequency ranges that do not overlap, while TDM divides and allocates certain time periods to each channel in an alternating manner.  Due to this fact, we can say that for TDM, each signal uses all of the bandwidth some of the time, while for FDM, each signal uses a small portion of the bandwidth all of the time.  TDM provides greater flexibility and efficiency, by dynamically allocating more time periods to the signals that need more of the bandwidth, while reducing the time periods to those signals that do not need it. FDM lacks this type of flexibility, as it cannot dynamically change the width of the allocated frequency.
  • 60. COMPARE BETWEEN TDM & FDM  The advantage of FDM over TDM is in latency. Latency is the time it takes for the data to reach its destination.  As TDM allocates time periods, only one channel can transmit at a given time, and some data would often be delayed, though it’s often only in milliseconds. Since channels in FDM can transmit at any time, their latencies would be much lower compared to TDM.  FDM is often used in applications where latency is of utmost priority, such as those that require real-time information. FDM and TDM are often used in tandem, to create even more channels in a given frequency range. The common practice is to divide the channel with FDM, so that you have a dedicated channel with a smaller frequency range. Each of the FDM channels is then occupied by multiple channels that are multiplexed using TDM. This is what telecoms do to allow a huge number of users to use a certain frequency band.
  • 61. COMPARE BETWEEN MUX & MULTIPLE ACCESS
  • 62. INFORMATION CAPACITY •Is a measure of how much information can be propagated through a communications system and is a function of bandwidth and transmission time. •Information capacity represents the number of independent symbols that can carried through a system in a given unit of time. •The most basic digital symbol used to represent information is the bit.
  • 63. BIT, BIT RATE, BAUD, BANDWIDTH
  • 65. SHANNON’S LIMIT & M-ary ENCODING