Optimization of Quantizer’s Segment Threshold Using Spline Approximations for Optimal Compressor Function

• 作者: Jelena Nikoli? Lazar Velimirovi? Miomir Stankovi? Zoran Peri?
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: OPTIMIZATION of Quantizer’s Segment THRESHOLD Mean Square Error Second-Degree SPLINE Functions COMPRESSOR FUNCTION
• 年，卷（期）: yysxyw_2012,（10）
• 页码范围: 1430-1434
• 页数: 5页
• 分类号: O1

摘要

In this paper, the optimization of quantizer’s segment threshold is done. The quantizer is designed on the basis of approximative spline functions. Coefficients on which we form approximative spline functions are calculated by minimization mean square error (MSE). For coefficients determined in this way, spline functions by which optimal compressor function is approximated are obtained. For the quantizer designed on the basis of approximative spline functions, segment threshold is numerically determined depending on maximal value of the signal to quantization noise ratio (SQNR). Thus, quantizer with optimized segment threshold is achieved. It is shown that by quantizer model designed in this way and proposed in this paper, the SQNR that is very close to SQNR of nonlinear optimal companding quantizer is achieved.