A simple derivation of Lloyd's classical result for the optimum scalar
IEEE Transactions on Information Theory
Digital Coding of Waveforms: Principles and Applications to Speech and Video
Digital Coding of Waveforms: Principles and Applications to Speech and Video
Introduction to Information Theory and Data Compression
Introduction to Information Theory and Data Compression
Simple fast and adaptive lossless image compression algorithm
Software—Practice & Experience
Introduction to Data Compression, Third Edition (Morgan Kaufmann Series in Multimedia Information and Systems)
On the support of MSE-optimal, fixed-rate, scalar quantizers
IEEE Transactions on Information Theory
On the support of fixed-rate minimum mean-squared error scalar quantizers for a Laplacian source
IEEE Transactions on Information Theory
Design of a Hybrid Quantizer with Variable Length Code
Fundamenta Informaticae
Forward Adaptive Logarithmic Quantizer with New Lossless Coding Method for Laplacian Source
Wireless Personal Communications: An International Journal
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This paper has two achievements. The first aim of this paper is optimization of the lossy compression coder realized as companding quantizer with optimal compression law. This optimization is achieved by optimizing maximal amplitude for that optimal companding quantizer for Laplacian source. Approximate expression in closed form for optimal maximal amplitude is found. Although this expression is very simple and suitable for practical implementation, it satisfy optimality criterion for Lloyd-Max quantizer (for R = 6 bits/sample). In the second part of this paper novel simple lossless compression method is presented. This method is much simpler than Huffman method, but it gives better results. Finally, at the end of the paper, we join optimal companding quantizer and lossless coding method together in one generalized compression method. This method is applied on the concrete still image and good results are obtained. Besides still images, this method also could be used for compression speech and bio-medical signals.