Design of Compandor Based on Approximate the First-Degree Spline Function

TL;DR

This paper proposes a first-degree spline approximation method for designing compandor-based quantizers, optimizing support regions to minimize distortion and achieve near-optimal signal-to-noise ratios.

Contribution

It introduces a novel spline-based approximation approach for companding functions and optimizes support regions to enhance quantizer performance.

Findings

Optimized support regions reduce total distortion.

Quantizer performance approaches that of the optimal design.

Spline approximation simplifies the design process.

Abstract

In this paper, the approximation of the optimal compressor function using spline function of the first-degree is done. For the companding quantizer designed on the basis of the approximative spline function of the first-degree, the support region is numerically optimized to provide the minimum of the total distortion for the last segment. It is shown that the companding quantizer with the optimized support region threshold provides the signal to quantization noise ratio that is very close to the one of the optimal companding quantizer having an equal number of levels.