Design of Piecewise Uniform Scalar Quantizer with Geometric Progression of Segment Width

Abstract

In this paper, the design procedure of the piecewise uniform scalar quantizer having segments with widths that form a geometric progression is presented. The proposed quantizer design optimization for the Laplacian source of the unit variance is performed by optimizing the distortion in respect to the support region threshold and the scaling factor which defines the geometric progression of the consecutive segment widths. For the proposed quantizer model and its forward adaptive version, the signal to quantization noise ratio robustness analysis in a wide variance range is also presented in the paper. Regarding the performance comparision of the proposed quantizer, the uniform quantizer and the G.711 quantizer, the conclusion of the proposed quantizer significance is distinctly shown in the paper.

Keywords

• digital signal processing
• quantization
• signal to quantization noise ratio