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  1. A PCM system uses a uniform quantizer followed by a 8- bit encoder. The bit rate of the system is equal to 106bits/s. The maximum message bandwidth for which the system operates satisfactory is—
    1. 25 MHz
    2. 6.25MHz
    3. 12.5 MHz
    4. 50 MHz
Correct Option: B

Let the message bandwidth ω Nyquist rate = 2ω
bandwidth = 2ω × (no. of bits/sec taken for quantization)
= 2ω × 8 = 16ω bits/sec
given that bit rate = 108 bits/sec
Now, 108 = 16ω

ω =
100
×100 = 106 = 6.25 MHz
16



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