Authors: Velimirović, Lazar 
Perić, Zoran
Stanković, Miomir 
Nikolić, Jelena
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Design of compandor quantizer using spline approximations
Journal: 2013 21st Telecommunications Forum Telfor, TELFOR 2013 - Proceedings of Papers
First page: 428
Last page: 434
Conference: 21st Telecommunications Forum Telfor, TELFOR 2013; Belgrade; Serbia; 26 November 2013 through 28 November 2013
Issue Date: 1-Dec-2013
Rank: M31
ISBN: 978-1-479-91419-7
DOI: 10.1109/TELFOR.2013.6716260
Abstract: 
In this paper, the approximation of the optimal compressor function using spline functions of the first and second degree is done. Coefficients on which we form approximative spline functions are determined in two ways: by solving equation systems that are formed from treshold condition and by minimization mean square error (MSE). On the basis of the obtained approximate spline functions, a quantizer designing is done. In order to reduce realization complexity of the designed model, in this paper it is proposed that the optimal compressor function in different segments is approximated by different spline functions. Also, the optimization of quantizer's segment threshold is done. 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). It is shown that by quantizer models proposed in this paper the SQNR that is very close to SQNR of nonlinear optimal companding quantizer is achieved.
Keywords: Companding quantizer | Optimal compressor function | Optimization of Quantizer's Segment Threshold | Spline functions
Publisher: IEEE
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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