A signal has a singlesided bandwidth of W 5 kHz If this sig

A signal has a single-sided bandwidth of W = 5 kHz. If this signal is sampled at the Nyquist rate (f_s = 2 W samples/sec) and is PCM encoded with 3 bits. What is the minimum required bandwidth needed for a channel to transmit this new signal? B = 20 kHz B = 5 KHz B = 15 KHz B = infinity B = 2.5 KHz B = 7.5 KHz

Solution

given data n = 3

fm = 5 khz

then fs = 2 fm

= 2 * 5

= 10 khz

R = nfs= 3(10.kHz) = 30kbits/s

Bmin = 30/2 = 30 khz/ 2 =15 kHz

option c