|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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