TOPICS IN STATISTICAL QUANTIZATIONS.
STANFORD UNIV CA STANFORD ELECTRONICS LABS
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The effects of the application of amplitude quantization to stochastic signals are analyzed and discussed. First- and second-order properties of the quantized signal and of the quantization noise are developed. Considerations for the optimum quantization of signals are given, with examples using speech signals and Gaussian signals. The optimum compressor characteristic for Gaussian signals is derived for a minimum mean-square error criterion. A special case of the problem of signal detectability following a band-pass limiter is reviewed. The use of dither signals supplementary signals added to the desired signal before quantization in conjunction with amplitude quantization is discussed and analyzed for combinations of Gaussian and uniform-density signals. Measures of system performance are discussed, and optimum dither signal levels are derived. Experimental results are given in support of the analytical results. Author