The Nice Feature of Orthogonal Vector-Valued Bivariate Wavelet Packets with Arbitrary Integer Dilation Factor


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In this paper, the notion of orthogonal vector-valued bivariate wavelet packets, which is a generalization of uni-wavelet packets, is introduced. A procedure for constructing them is presented. Their characteristics is investigated by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established. Orthonormal wavelet packet bases are obtained.



Key Engineering Materials (Volumes 439-440)

Edited by:

Yanwen Wu






J. T. Zhao and J. Li, "The Nice Feature of Orthogonal Vector-Valued Bivariate Wavelet Packets with Arbitrary Integer Dilation Factor", Key Engineering Materials, Vols. 439-440, pp. 1184-1189, 2010

Online since:

June 2010




[1] N. Zhang, X. Wu, Lossless of color masaic images,. IEEE Trans Image Delivery, 2006, 15(6), 1379-1388.

[2] S. Efromovich, J. lakey, M. Pereyia, N. Tymes, Data-Diven and Optimal Denoising of a Signal and Recovery of its Derivation Using Multiwavelets,. IEEE Trans Signal Processing, 2004, 52(3), 628-635.

DOI: 10.1109/tsp.2003.822355

[3] Z. Shen Nontensor product wavelet packets in 2( ) s L R . SIAM Math Anal. 1995, 26(4): 1061-1074.

DOI: 10.1137/s0036141093243642

[4] X. G. Xia, B. W. Suter, Vector-valued wavelets and vector filter banks,. IEEE Trans Signal Processing, 1996, 44(3), 508-518.

DOI: 10.1109/78.489024

[5] Q. Chen, Z. Cheng, A study on compactly supported orthogonal vector-valued wavelets and wavelet packets. Chaos, Solitons& Fractals, 2007, 31(4), 1024-1034.

DOI: 10.1016/j.chaos.2006.03.097

[6] X.G. Xia, J.S. Geronimo, et al, Design of prefilters for discrete multiwavelet transforms [J]. IEEE Trans. Signal Processing, 1996, 44, 25-35.

DOI: 10.1109/78.482009

[7] C. K. Chui, J. Lian, A study of orthonormal multiwavelets,. Appli Numer Math, 1996, 20(1), 273-298.

[8] S. Yang. Z. Cheng H. Wang, Construction of biorthogonal multiwavelets, Math Anal Appl, 2002, 276(1), 1-12.

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