GATE EC 2017 Set 2 — Question 23
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Communications → Source Coding & Baseband Transmission → PCM & DPCM
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Question
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer is 40 dB. The minimum number of bits per sample needed to achieve the desired SQNR is ________.
Correct answer
7 to 7
Solution
For a sinusoidal signal, the signal-to-quantization noise ratio (SQNR) in dB for a uniform quantizer is given by the formula:where is the number of bits per sample.
Given dB:Since the number of bits must be an integer, the minimum number of bits needed is .
Given dB:Since the number of bits must be an integer, the minimum number of bits needed is .
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