Question

A sinusoidal massage signal m(t) is transmitted by binary PCM without compression. If the signal to-quantization-noise ratio is required to be at least 48 dB, the minimum number of bits per sample will be

(a) 8

(b) 10

(c) 12

(d) 14

The question was asked during an interview for a job.

My question is from Digital Transmission topic in division EDC Overview of Electronic Devices & Circuits

Answer 1

Right choice is (a) 8

The best explanation: 3(L^2)/2 = 48 db or L = 205.09. Since L is power of 2, so we select L = 256 Hence 256 = 2^8, So 8 bits per sample is required.