Authors: Velimirović, Lazar 
Perić, Zoran
Denić, Bojan
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Application of Extended Huffman Coding on Three-Level Scalar Quantizer for Gaussian Source
First page: 21
Last page: 22
Conference: The Second National Conference on Information theory and complex systems - TINKOS 2014, Nis, Serbia, June 16-17, 2014
Issue Date: 2014
Rank: M64
This paper presents design process of the optimal three-level scalar quantizer with extended Huffman coding. The optimal value of the decision threshold is achieved by optimization of the decision threshold depending on the maximum value of signal to quantization noise ratio. The calculation of average bit rate and source entropy, as well as the comparison between these parameters is done. The convergence of the average bit rate to the source entropy is thoroughly analysed for two, three, and four symbol blocks. Performances of the proposed quantizer in terms of signal to quantization noise ratio are estimated by comparing numerical values to the quantizer having two quantization levels for the Gaussian probability density function. Also, analysis of the average bit rate and the source entropy depending on the size of symbol blocks is performed.
Keywords: Quantization | Scalar quantizer | Huffman coding | Entropy coding
Publisher: Mathematical Institute of the Serbian Academy of Sciences and Arts
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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