|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Numerical Determination of the Optimal Value of Quantizer’s Segment Threshold Using Quadratic Spline Functions||Journal:||British Journal of Mathematics & Computer Science||Volume:||3||Issue:||4||First page:||500||Last page:||508||Issue Date:||2013||Rank:||M52||DOI:||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.
|Keywords:||Quadratic spline functions | Optimal compressor function | Mean square error | Quantizer’s segment threshold||Publisher:||SCIENCEDOMAIN international||Project:||Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education|
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