Abstract
Based on recurrent matrix methods of synthesis of orthogonal transforms, efficient fast algorithms are developed that need only output data rearrangement. These transforms are tested on non-separable and correlation models. A comparative analysis of these transforms and the well-known slant and Walsh transforms is given in respect to the following characteristics: transformation efficiency, maximum reducible bits, mean-square error of basis truncation, transform coding efficiency and computational complexity.
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Gnativ, L.A., Shevchuk, E.S. Methods of Synthesis of Efficient Orthogonal Transforms of High and Low Correlation and Their Fast Algorithms for Coding and Compressing Digital Images. Cybernetics and Systems Analysis 38, 879–890 (2002). https://doi.org/10.1023/A:1022996005721
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DOI: https://doi.org/10.1023/A:1022996005721