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M-ary Pulse-Modulation
 Multilevel signaling - a group of k-bit is transmitted by M=2k level
pulse.
71
M-ary Baseband Modulation
■ Explained on the Board
72
Noise in communication systems
• Thermal noise is described by a zero-mean white Gaussian random
process, n(t).
• Its PSD is flat, hence, it is called white noise.
Autocorrelation function
Probability density function
Power spectral density
73
Signal transmission through linear systems
Input Output
Linear system
–Deterministic signals:
–Random signals:
74
Signal transmission … - cont’d
• Ideal filters:
• Realizable filters:
RC filters Butterworth filter
High-pass
Low-pass
Band-pass
Non-causal!
© Dr. Aimal Khan 75
Bandwidth of signal
• Baseband versus bandpass:
• Bandwidth dilemma:
• Bandlimited signals are not realizable!
• Realizable signals have infinite bandwidth!
Baseband
signal
Bandpass
signal
Local oscillator
76
Bits per PCM Word
 PCM word size
 How many bits shall we assign to each analog sample?












p
l
p
p
L
pV
L
V
L
Vq
e
pVe
l
pp
pp
pp
pp
2
1
log
2
1
2
2
1
2
22
2
max
e: quantization error,
Vpp peak-to-peak voltage
q: quantization level
77
Bits Per Symbol
78
Bandwidth of signal …
• Different definition of bandwidth:
a)
b)
c)
Half-power bandwidth
Noise equivalent bandwidth
Null-to-null bandwidth
d) Fractional power containment bandwidth
e) Bounded power spectral density
f) Absolute bandwidth
(a)
(b)
(c)
(d)
(e)50dB
79
Spectral Efficiency
■ We can say that the Null-to-Null bandwidth is equal to 2/T. Where, T is
the width of the pulse.
■ In case of binary pulse we can only Transmit 1 bit per symbol (pulse).
In case of M-ary we can transmit log2(M).
■ Spectral efficiency is the number of bits transmitted per bandwidth
used. Thus, in case of binary pulses it is 1/(2/T). In case of M-ary it is
log2(M) /(2/T). We consider here NtoN Bandwidth
■ Binary pulses have less spectral efficiency as compared to M-ary.
However, the transmission of more bits per pulse will increase the
error probability. More bits per pulse means more erroneus bits.
80
DIGITAL BANDPASS
MODULATION TECHNIQUES
© Dr. Aimal Khan 81
82
Baseband Transmission
■ We have discussed, How it works?
83
What is modulation ?
■ Modulation = Adding information to a carrier signal
■ Digital to Analog Modulation
– process of changing one of the characteristic of an
analog signal (typically a cosine wave) based on the
information in a digital signal
■ The cosine wave on which the characteristics of the
information signal are modulated is called a carrier
signal
84
5.85
Figure 5.1 Digital-to-analog conversion
© Dr. Aimal Khan
Signal characteristics that can
be modified
signal x(t) = A cos(2πft + Φ)
• A – amplitude
• f – frequency
• Φ – phase
• A- amplitude and phase together
86
5.87
Amplitude Shift Keying (ASK)
■ ASK is implemented by changing the
amplitude of a carrier signal to reflect
amplitude levels in the digital signal.
■ For example: a digital “1” could not affect the
signal, whereas a digital “0” would, by making
it zero.
■ The line encoding will determine the values of
the analog waveform to reflect the digital data
being carried.
Binary Vs M-ary Modulation
■ Binary: Only two modulation levels
■ M-ary: Two or more than Two modulation
levels
88
Binary Amplitude Shift Keying
On/Off Keying
s1 t  
2Eb
Tb
cos 2fct 
s2 t   
2Eb
Tb
cos 2fct 0 x
V x
© Dr. Aimal Khan 89
Implementation of binary ASK
On/Off Keying
s1 t  
2Eb
Tb
cos 2fct 
s2 t   
2Eb
Tb
cos 2fct 0 x
V x
V
© Dr. Aimal Khan 90
© Dr. Aimal Khan
Implementation of binary ASK
Bipolar Binary ASK
A
-A
V
-V
91
© Dr. Aimal Khan
Mapper
Pulse
Shaping
Multiplier
Bipolar Binary ASK
General Modulator Structure
V
-V0
1
Antenna
92
© Dr. Aimal Khan
M-ary Amplitude Shift Keying
■ There can be multiple levels, generally they are equal to 2 power of
number of bits.
■ When multiple levels than we must map the bits to different levels
■ This can increase spectral efficiency
■ Implemented in a similar way as Binary ASK
)2cos(
2
tf
T
VS cii  ii EV
Mi
Tt



,...,2,1
,0)2cos( tfAS cii 
93
© Dr. Aimal Khan
Mapper
Pulse
Shaping
Multiplier
M-ary ASK
General Modulator Structure
000...00
000...01
.
.
.
111...11
Antenna
MV
V
V
.
.
.
2
1
94
5.95
Frequency Shift Keying
■ The digital data stream changes the frequency of the carrier signal,
fc.
■ For example, a “1” could be represented by f1=fc +f, and a “0”
could be represented by f2=fc-f.
Binary Frequency Shift Keying
© Dr. Aimal Khan 96
Implementation of BFSK
V
© Dr. Aimal Khan 97
© Dr. Aimal Khan
Mapper
Pulse
Shaping
VCO
Binary FSK
General Modulator Structure
V
-V0
1
Antenna
98
© Dr. Aimal Khan
M-ary Frequency Shift Keying
■ There can be multiple levels, generally they are equal to 2 power of
number of bits.
■ When multiple levels than we must map the bits to different levels
■ This can increase spectral efficiency
■ Implemented in a similar way as Binary FSK
)2cos(
2
tf
T
E
S ii 
Mi
Tt
,...,2,1
,0

)2cos( tfAS ii 
99
© Dr. Aimal Khan
Mapper
Pulse
Shaping
VCO
M-ary FSK
General Modulator Structure
000...00
000...01
.
.
.
111...11
Antenna
MV
V
V
.
.
.
2
1
100
Binary Amplitude Shift Keying
On/Off Keying
s1 t  
2Eb
Tb
cos 2fct 
s2 t   
2Eb
Tb
cos 2fct 0 x
V x
© Dr. Aimal Khan 101
Implementation of binary ASK
On/Off Keying
s1 t  
2Eb
Tb
cos 2fct 
s2 t   
2Eb
Tb
cos 2fct 0 x
V x
V
© Dr. Aimal Khan 102
© Dr. Aimal Khan
Bipolar Binary ASK
General Modulator Structure
Mapper
Pulse
Shaping
Multiplier
V
-V0
1
Antenna
103
© Dr. Aimal Khan
Transmit Energy and Constellation
Diagram
Mapper
Pulse
Shaping
Multiplier
V
-V0
1
Antenna
104
© Dr. Aimal Khan
M-ary Amplitude Shift Keying
■ There can be multiple levels, generally they are equal to 2 power of
number of bits.
■ When multiple levels than we must map the bits to different levels
■ This can increase spectral efficiency
■ Implemented in a similar way as Binary ASK
)2cos(
2
tf
T
VS cii  ii EV
Mi
Tt



,...,2,1
,0)2cos( tfAS cii 
105
Implementation of binary ASK
On/Off Keying
s1 t  
2Eb
Tb
cos 2fct 
s2 t   
2Eb
Tb
cos 2fct 0 x
V x
V
© Dr. Aimal Khan 106
© Dr. Aimal Khan
Mapper
Pulse
Shaping
Multiplier
M-ary ASK
General Modulator Structure
000...00
000...01
.
.
.
111...11
Antenna
MV
V
V
.
.
.
2
1
107
Symbol Energy
Smaller value, this term
can be negletected.
108
Average Symbol Energy
109
Average Energy per bit Vs
Average Energy per Symbol
■ Normally for a communication System Energy per bit is given
■ Difference between Bit duration and Symbol Duration
■ For Binary M-ary Schemes
110

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M-ary Modulation, noise modelling, bandwidth, Bandpass Modulation

  • 1. M-ary Pulse-Modulation  Multilevel signaling - a group of k-bit is transmitted by M=2k level pulse. 71
  • 2. M-ary Baseband Modulation ■ Explained on the Board 72
  • 3. Noise in communication systems • Thermal noise is described by a zero-mean white Gaussian random process, n(t). • Its PSD is flat, hence, it is called white noise. Autocorrelation function Probability density function Power spectral density 73
  • 4. Signal transmission through linear systems Input Output Linear system –Deterministic signals: –Random signals: 74
  • 5. Signal transmission … - cont’d • Ideal filters: • Realizable filters: RC filters Butterworth filter High-pass Low-pass Band-pass Non-causal! © Dr. Aimal Khan 75
  • 6. Bandwidth of signal • Baseband versus bandpass: • Bandwidth dilemma: • Bandlimited signals are not realizable! • Realizable signals have infinite bandwidth! Baseband signal Bandpass signal Local oscillator 76
  • 7. Bits per PCM Word  PCM word size  How many bits shall we assign to each analog sample?             p l p p L pV L V L Vq e pVe l pp pp pp pp 2 1 log 2 1 2 2 1 2 22 2 max e: quantization error, Vpp peak-to-peak voltage q: quantization level 77
  • 9. Bandwidth of signal … • Different definition of bandwidth: a) b) c) Half-power bandwidth Noise equivalent bandwidth Null-to-null bandwidth d) Fractional power containment bandwidth e) Bounded power spectral density f) Absolute bandwidth (a) (b) (c) (d) (e)50dB 79
  • 10. Spectral Efficiency ■ We can say that the Null-to-Null bandwidth is equal to 2/T. Where, T is the width of the pulse. ■ In case of binary pulse we can only Transmit 1 bit per symbol (pulse). In case of M-ary we can transmit log2(M). ■ Spectral efficiency is the number of bits transmitted per bandwidth used. Thus, in case of binary pulses it is 1/(2/T). In case of M-ary it is log2(M) /(2/T). We consider here NtoN Bandwidth ■ Binary pulses have less spectral efficiency as compared to M-ary. However, the transmission of more bits per pulse will increase the error probability. More bits per pulse means more erroneus bits. 80
  • 12. 82
  • 13. Baseband Transmission ■ We have discussed, How it works? 83
  • 14. What is modulation ? ■ Modulation = Adding information to a carrier signal ■ Digital to Analog Modulation – process of changing one of the characteristic of an analog signal (typically a cosine wave) based on the information in a digital signal ■ The cosine wave on which the characteristics of the information signal are modulated is called a carrier signal 84
  • 15. 5.85 Figure 5.1 Digital-to-analog conversion © Dr. Aimal Khan
  • 16. Signal characteristics that can be modified signal x(t) = A cos(2πft + Φ) • A – amplitude • f – frequency • Φ – phase • A- amplitude and phase together 86
  • 17. 5.87 Amplitude Shift Keying (ASK) ■ ASK is implemented by changing the amplitude of a carrier signal to reflect amplitude levels in the digital signal. ■ For example: a digital “1” could not affect the signal, whereas a digital “0” would, by making it zero. ■ The line encoding will determine the values of the analog waveform to reflect the digital data being carried.
  • 18. Binary Vs M-ary Modulation ■ Binary: Only two modulation levels ■ M-ary: Two or more than Two modulation levels 88
  • 19. Binary Amplitude Shift Keying On/Off Keying s1 t   2Eb Tb cos 2fct  s2 t    2Eb Tb cos 2fct 0 x V x © Dr. Aimal Khan 89
  • 20. Implementation of binary ASK On/Off Keying s1 t   2Eb Tb cos 2fct  s2 t    2Eb Tb cos 2fct 0 x V x V © Dr. Aimal Khan 90
  • 21. © Dr. Aimal Khan Implementation of binary ASK Bipolar Binary ASK A -A V -V 91
  • 22. © Dr. Aimal Khan Mapper Pulse Shaping Multiplier Bipolar Binary ASK General Modulator Structure V -V0 1 Antenna 92
  • 23. © Dr. Aimal Khan M-ary Amplitude Shift Keying ■ There can be multiple levels, generally they are equal to 2 power of number of bits. ■ When multiple levels than we must map the bits to different levels ■ This can increase spectral efficiency ■ Implemented in a similar way as Binary ASK )2cos( 2 tf T VS cii  ii EV Mi Tt    ,...,2,1 ,0)2cos( tfAS cii  93
  • 24. © Dr. Aimal Khan Mapper Pulse Shaping Multiplier M-ary ASK General Modulator Structure 000...00 000...01 . . . 111...11 Antenna MV V V . . . 2 1 94
  • 25. 5.95 Frequency Shift Keying ■ The digital data stream changes the frequency of the carrier signal, fc. ■ For example, a “1” could be represented by f1=fc +f, and a “0” could be represented by f2=fc-f.
  • 26. Binary Frequency Shift Keying © Dr. Aimal Khan 96
  • 27. Implementation of BFSK V © Dr. Aimal Khan 97
  • 28. © Dr. Aimal Khan Mapper Pulse Shaping VCO Binary FSK General Modulator Structure V -V0 1 Antenna 98
  • 29. © Dr. Aimal Khan M-ary Frequency Shift Keying ■ There can be multiple levels, generally they are equal to 2 power of number of bits. ■ When multiple levels than we must map the bits to different levels ■ This can increase spectral efficiency ■ Implemented in a similar way as Binary FSK )2cos( 2 tf T E S ii  Mi Tt ,...,2,1 ,0  )2cos( tfAS ii  99
  • 30. © Dr. Aimal Khan Mapper Pulse Shaping VCO M-ary FSK General Modulator Structure 000...00 000...01 . . . 111...11 Antenna MV V V . . . 2 1 100
  • 31. Binary Amplitude Shift Keying On/Off Keying s1 t   2Eb Tb cos 2fct  s2 t    2Eb Tb cos 2fct 0 x V x © Dr. Aimal Khan 101
  • 32. Implementation of binary ASK On/Off Keying s1 t   2Eb Tb cos 2fct  s2 t    2Eb Tb cos 2fct 0 x V x V © Dr. Aimal Khan 102
  • 33. © Dr. Aimal Khan Bipolar Binary ASK General Modulator Structure Mapper Pulse Shaping Multiplier V -V0 1 Antenna 103
  • 34. © Dr. Aimal Khan Transmit Energy and Constellation Diagram Mapper Pulse Shaping Multiplier V -V0 1 Antenna 104
  • 35. © Dr. Aimal Khan M-ary Amplitude Shift Keying ■ There can be multiple levels, generally they are equal to 2 power of number of bits. ■ When multiple levels than we must map the bits to different levels ■ This can increase spectral efficiency ■ Implemented in a similar way as Binary ASK )2cos( 2 tf T VS cii  ii EV Mi Tt    ,...,2,1 ,0)2cos( tfAS cii  105
  • 36. Implementation of binary ASK On/Off Keying s1 t   2Eb Tb cos 2fct  s2 t    2Eb Tb cos 2fct 0 x V x V © Dr. Aimal Khan 106
  • 37. © Dr. Aimal Khan Mapper Pulse Shaping Multiplier M-ary ASK General Modulator Structure 000...00 000...01 . . . 111...11 Antenna MV V V . . . 2 1 107
  • 38. Symbol Energy Smaller value, this term can be negletected. 108
  • 40. Average Energy per bit Vs Average Energy per Symbol ■ Normally for a communication System Energy per bit is given ■ Difference between Bit duration and Symbol Duration ■ For Binary M-ary Schemes 110