Question

For a signal with Gaussian distribution (zero mean and unit variance) a. Design a uniform PCM quantizer with four levels. b. Design a nonuniform four-level quantizer that is optimized for the signal PDF. Compare with the uniform PCM in terms of SNR. 

   For a signal with Gaussian distribution (zero mean and unit variance)
a. Design a uniform PCM quantizer with four levels.
b. Design a nonuniform four-level quantizer that is optimized for the signal PDF. Compare with the uniform PCM in terms of SNR.
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Audio Signal Processing and Coding
Audio Signal Processing and Coding
Andreas Spanias, Ted… 1st Edition
Chapter 3, Problem 2 ↓

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- We need to design two types of quantizers for a Gaussian signal with zero mean and unit variance: a uniform PCM quantizer and a nonuniform quantizer optimized for the signal's probability density function (PDF). - We will then compare the signal-to-noise ratio  Show more…

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For a signal with Gaussian distribution (zero mean and unit variance) a. Design a uniform PCM quantizer with four levels. b. Design a nonuniform four-level quantizer that is optimized for the signal PDF. Compare with the uniform PCM in terms of SNR.
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