The Performance of PCM Quantization Under Tight Frame Representations

Abstract

In this paper, we study the performance of the PCM scheme with linear quantization rule for quantizing finite unit-norm tight frame expansions for R and derive the PCM quantization error without the White Noise Hypothesis. We prove that for the class of unit norm tight frames derived from uniform frame paths the quantization error has an upper bound of O… (More)
DOI: 10.1137/110829167

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