Design of the adaptive piecewise uniform scalar quantizer with lossless coder and Golomb-Rice code on the output, for signals with Gaussian distribution

Abstract

In this paper a new compression model for signals with Gaussian distribution is presented. It consists of a piecewise uniform scalar quantizer, a lossless coder and Golomb-Rice code. Forward adaptation of this proposed model is done and constant signal-to-quantization noise ratio (SQNR) in wide range of input variances is obtained. Joined design of lossy and lossless coder is done, achieving optimal performances. Our model has small complexity since all components of the model (piecewise uniform quantizer, lossless coder and Golomb-Rice code) are very simple for realization. As an example, this model is applied on the speech signal, and it is shown that the G.712 standard is satisfied with bit-rate decrease of 1.09 bits/sample, compared to the classic uniform quantizer.