Question

A PMC system uses a uniform quantizer followed by an 8 bit encoder. If the bit rate of the system is ${10}^5$ kbps, then the maximum bandwidth of the low-pass message signal for which the system operates satisfactorily is

• A. $25MHz$
• B. $50MHz$
• C. $12.5MHz$
• D. $6.25MHz$

Answer 1

The correct option is D $6.25MHz$

$R_b=n{f}_s$
${10}^8=8f_s$ or
$f_s=12.5MHz$
for satisfactory operation
$f_s\ge 2f_m$
$f_m\le 6.25MHz$
$f_{m\left(max\right)}=6.25MHz$