Question:

If a uniform quantizer with sinusoidal input signal produces the output SNR of 43.76 dB, determine the number of quantization levels used.

Updated On: Feb 7, 2025
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The Correct Option is A

Solution and Explanation

The signal-to-noise ratio (SNR) for a uniform quantizer is given by \[ \text{SNR}_{dB} = 6.02N + 1.76 \] where \( N \) is the number of bits. Substituting the given SNR: \[ 43.76 = 6.02N + 1.76 \implies N \approx 7 \] The number of quantization levels is \[ 2^7 = 128. \]
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