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Question

A message signal, which is bandlimited to 15kHz, is sampled at a rate 40% higher than the Nyquist rate and quantized by a 8-bit uniform quantizer. The theoritical minimum channel bandwidth required to tranmit the resultant binary data with proper signal shaping is _____kHz.
  1. 168

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Solution

The correct option is A 168
fm(max)=15kHz
Sampling rate , fs=1.40×2fm(max)=1.40×30=42kHz
Bits per sample, n=8
Bit rate, Rb=nfs=8×42=336kbps
Minimum channel bandwidth required is,
(BW)min=Rb2=3362kHz=168kHz

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