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

Numerical determination of the optimal value of quantizer's segment threshold using quadratic spline functions