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A PCM system uses a uniform quantizer followed by a 7-bit binary encoder. The bit rate of the system is equal to 50 × 106 bits/sec. What is the maximum message signal bandwidth for which the system operates satisfactorily? 

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  1. 3.57 MHz
  2. 4.55 MHz
  3. 7.55 MHz
  4. 8.57 MHz

Answer (Detailed Solution Below)

Option 1 : 3.57 MHz
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Detailed Solution

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Concept:

The bit rate is given by:

r = N × fs

where, r = Bit rate

N = No. of bit

fs = Sampling frequency

The maximum message signal bandwidth is given by:

Calculation:

Given, r = 50 × 106 bits/sec

N = 7

fs = 7.14 MHz

BW = 3.57 MHz

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