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http://dx.doi.org/10.4134/JKMS.2014.51.5.941

SPECTRAL RADIUS OF BIORTHOGONAL WAVELETS WITH ITS APPLICATION  

Zou, Qingyun (Department of Mathematics Hunan University of Arts and Science, College of Mathematics and Computer Science Hunan Normal University)
Wang, Guoqiu (College of Mathematics and Computer Science Hunan Normal University)
Yang, Mengyun (Department of Science and Information Science Shaoyang University)
Publication Information
Journal of the Korean Mathematical Society / v.51, no.5, 2014 , pp. 941-953 More about this Journal
Abstract
In this paper, a 2-circular matrix theory is developed, and a concept of spectral radius for biorthogonal wavelet is introduced. We propose a novel design method by minimizing the spectral radius and obtain a wavelet which has better performance than the famous 9-7 wavelet in terms of image compression coding.
Keywords
2-circular matrix; biorthogonality; vanishing moments; filters of even lengths; image compression;
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