GATE EC 2015 Set 2 — Question 32
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Communications → Source Coding & Baseband Transmission → Sampling, Quantization & Encoding
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Question
A sinusoidal signal of amplitude is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to quantization noise ratio is 31.8 dB, the number of levels in the quantizer is ________.
Correct answer
32 to 32
Solution
For a sinusoidal signal quantized by an -bit uniform quantizer, the Signal-to-Quantization Noise Ratio (SQNR) in dB is given by:Given :The number of quantization levels is:
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