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H.W
Two low pass signals, each band limited 4KHz, are to be time
multiplexed into a single channel using PAM. Each signal is impulse
sampled at a rate 10KHz. The time multiplexed signal waveform is
filtered by an ideal LPF before transmission.
(a) What is minimum clock frequency of the system?
(b) What is the minimum cut off frequency of the LPF?
(c) In the receiver side, determine the minimum and maximum
acceptable bandwidth of the LPF used in retrieving the analog
signal?
Ans. (a) 20KHz (b) 10KHz (c) 4KHz, 6KHz.

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okpalawalter8

Two low pass signals, each band limited 4KHz, are to be time-multiplexed into a single channel using PAM. Each signal is impulse sampled at a rate 10KHz. is mathematically given as

  • nCF= 10Khz
  • minF=20Hz
  • minBL= 4Fz and maxBL=6Khz

What is the minimum clock frequency of the system?

Generally, the equation for the minimum clock frequency is mathematically given as

minF=2*F

Therefore

minF=2*10

minF=20Hz

b)

the minimum cut-off frequency of the LPF

nCF this simply depicts of specifies the  sampling rate

Hence

nCF=fs

nCF= 10Khz

c)

The minimum and maximum acceptable bandwidth of the LPF

The minimum acceptable bandwidth depicts or specifies the sampling band limit.

minimum acceptable =Sampling band limit

minBL= 4Fz

The maximum acceptable bandwidth of the LPF is given by the impulse signal rate  minus the value of the minimum band limit, Hence

maxBL=10khz - 4Khz

maxBL=6Khz

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