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Research Article Open access CC BY 3.0

Numerical Determination of the Optimal Value of Quantizer’s Segment Threshold Using Quadratic Spline Functions

Lazar Velimirović, Zoran Perić, Miomir Stanković, Jelena Nikolić

Journal of Advances in Mathematics and Computer Science · pp. 500–508 · Published 16 Jun 2013

10.9734/BJMCS/2013/4274

Abstract

In this paper, an approximation of the optimal compressor function using the quadratic spline functions has been presented. The coefficients of the quadratic spline functions are determined by minimizing the mean-square error (MSE). Based on the obtained approximative quadratic spline functions, the design for companding quantizer for Gaussian source is done. The support region of proposed companding quantizer is divided on segments of unequal size, where the optimal value of segment threshold is numerically determined depending on maximal value of the signal to quantization noise ratio (SQNR). It is shown that by the companding quantizer proposed in this paper, the SQNR that is very close to SQNR of nonlinear optimal companding quantizer is achieved.

Quadratic spline functions optimal compressor function mean square error quantizer’s segment threshold

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