A PCM system uses a uniform quantizer followed by a 8- bit

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

ω =	100	×100 = 10⁶ = 6.25 MHz
	16