Performance analysis of companding quantizer using piecewise linear approximation of the Gaussian source

In this paper a piecewise-linear approximation of a probability density function is performed. For approximated probability density function an optimal compressor function is determined. Based on compressor function determined in this way, companding scalar quantizer is designed. Performance analysis is performed for the Gaussian source at the entrance of the quantizer. Obtained results show that the proposed model has performance very close to that of the optimal nonlinear compandor. Furthermore, practical implementation of proposed model does not require integral equations solving. Consequently, the proposed model is much more suitable for implementation.