Design of quantizer for Laplacian source based on the probability density function approximation

Abstract

In this paper, piecewise linear approximation of the probability density function is done. On the basis of the obtained approximated probability density function, a companding quantizer is designed. The signal at the entrance of the companding quantizer is modeled by Laplacian probability density function. Performances of the proposed companding quantizer are estimated on the basis of comparison of calculated values of signal to quantization noise ratio and approximation error, with the calculated values that correspond to the model of piecewise uniform scalar quantizer, that is also proposed in this paper.