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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
Constellation diagram for
Binary ASK
■ Constellation Diagram for ASK: Simply plot the amplitude value
for each pulse (symbol) on the x-axis
0 1 0 1
111
Constellation diagram for
Binary ASK
0 1 0 1
112
Calculation of the amplitude
values from given Symbol Energy
■ We know that
■ For unipolar or On-Off Keying
■ For bipolar Binary ASK
113
Constellation diagram for
Binary ASK
■ Constellation Diagram for ASK simply plot the amplitude value
for each pulse (symbol) on the x-axis
114
© 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
115
Constellation diagram for 8-ary
Bipolar ASK
000 001 010 011 100 101 110 111
116
Constellation diagram for 8-ary
Bipolar ASK
000 001 010 011 100 101 110 111
117
Pulse Amplitudes for Bipolar 8-ASK
118
Pulse Amplitudes for Bipolar 8-ASK
119
Pulse Amplitudes for Bipolar 8-ASK
120
Pulse Amplitudes for Bipolar 8-ASK
121
Pulse Amplitudes for Bipolar 16-
ary ASK
122
Pulse Amplitudes for Bipolar M-ary
ASK
123
Pulse Amplitudes for Bipolar M-ary
ASK
124
Phase Shift Keying
■ We shift the phase of the carrier signal to represent
digital data.
■ How much shift is possible?
125
Binary Phase Shift Keying (BPSK)
© Dr. Aimal Khan 126
Binary Phase Shift Keying (BPSK)
■ How much shift is possible?
© Dr. Aimal Khan 127
Implementation of BPSK
V V
© Dr. Aimal Khan 128
BPSK
0 1
129
© Dr. Aimal Khan
M-ary Phase Shift Keying
)
2
2cos(
2
M
i
tf
T
ES csi




Mi
Tt
,...,2,1
,0


■ 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
■ Cannot be implemented as BPSK given above, next
slides explain how to implement
)
2
2cos(
M
i
tfVS ci




130

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Average Symbol Energy vs Average Energy per Bit in Digital Communication Systems