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Issues with Low Frequency

12 voice chan...

Question

12 voice channels, each bandlimited to 4 kHz, are time division multiplexed. Each voice signal is sampled at 8 kHz and an 8-bit quantizer is used in the system. If a single additional bit is added at the end of each frame for the purpose of synchronization, then the rate of the resultant data will be ______ kbps.
776

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Solution

The correct option is A 776
$\begin{matrix} Number of voice channels, N & = 12 Sampling rate & = 8 k H z Number of bits & = 8 b i t s ∴ Total number of message bits for each frame = 12 \times 8 = 96 b i t s / f r a m e Frame rate & = Sampling rate = 8000 f r a m e s / s e c o n d R_{b} & = (N n + a) f_{s} = (12 \times 8 + 1) 8 \times 10^{3} = 776 k b p s \end{matrix}$

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