The GATE Grind

GATE 2021 IN – Question 64

Communication and Optical Instrumentation · Analog and digital communication · 2 marks · Numerical answer

A signal of bandwidth 5 MHz is transmitted by PCM. It is sampled 50% above the Nyquist rate and quantized into 256 levels. Its binary pulse rate is ______ Mbit/s.

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 120 to 120

Explanation

A 5-MHz bandwidth requires Nyquist sampling at 2B=10 MHz. Sampling 50% above this gives fs=15 MHz. With 256=2⁸ quantization levels, each sample needs 8 bits, so Rb=15×8=**120 Mbit/s**, excluding unspecified framing overhead.