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S. Na, “On the Support of Fixed-Rate Minimum MeanSquared Error Scalar Quantizers for a Laplacian Source,” IEEE Transactions on Information Theory, Vol. 50, No. 5, 2004, pp. 937-944. doi:10.1109/TIT.2004.826686

has been cited by the following article:

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

  AUTHORS: Lazar Velimirović, Zoran Perić, Miomir Stanković, Jelena Nikolić

  KEYWORDS: Optimization of Quantizer’s Segment Threshold; Mean Square Error; Second-Degree Spline Functions; Compressor Function

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10A, November 1, 2012

  ABSTRACT: 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.