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J. Korean Math. Soc. 2014; 51(5): 941-953
Printed September 1, 2014
https://doi.org/10.4134/JKMS.2014.51.5.941
Copyright © The Korean Mathematical Society.
Spectral radius of biorthogonal wavelets with its application
Qingyun Zou, Guoqiu Wang, and Mengyun Yang
Hunan Normal University, Hunan Normal University, Shaoyang University
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
MSC numbers: 42C40, 42A16
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