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For a given number of bits, the power of quantization noise is proportional to the variance of the signal to be quantized.

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For a given number of bits, the power of quantization noise is proportional to the variance of the signal to be quantized.

(a) True

(b) False

I have been asked this question during an online exam.

I would like to ask this question from Oversampling A/D Converters topic in section Sampling and Reconstruction of Signals of Digital Signal Processing

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The correct choice is (a) True

Easy explanation: The dynamic range of the signal, which is proportional to its standard deviation σx, should match the range R of the quantizer, it follows that ∆ is proportional to σx. Hence for a given number of bits, the power of the quantization noise is proportional to the variance of the signal to be quantized.

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