Question

If the number of bits in a PCM system is increased from n to n + 1, the signal to quantization noise ratio will increase by a factor of

• A. $\frac{(n+1{)}^2}{n}$
• B. $2$
• C. $\frac{(n+1)}{n}$
• D. $4$

Answer 1

The correct option is D $4$

$(\text{SNR}{)}^2\propto (2^n{)}^2$
$\frac{(\text{SNR}{)}_2}{(\text{SNR}{)}_1}=\frac{(2^{n+1}{)}^2}{\left(\right(2^n{)}^2)}=4$