GATE ECE 2008 | Question: 71

Question

A speech signal, band limited to $4 \; \mathrm{kHz}$ and peak voltage varying between $+5 \mathrm{V}$ and $-5 \mathrm{V}$, is sampled at the Nyquist rate. Each sample is quantized and represented by $8$ bits.

If the bits $0$ and $1$ are transmitted using bipolar pulses, the minimum bandwidth required for distortion free transmission is

• A. $64 \; \mathrm{kHz}$
• B. $32 \; \mathrm{kHz}$
• C. $8 \; \mathrm{kHz}$
• D. $4 \; \mathrm{kHz}$

Answer 1

Binary sequence represented by bipolar pulses.
So,
$$
\begin{aligned}
\text { B.W. } & =R_{b}=n f_{s} \\
& =8 \times 8 \mathrm{~K}=64 \mathrm{kHz}
\end{aligned}
$$