A Novel Approach for Constructing a Class of Orthogon Vector-Valued Wavelets with Finite Support


Article Preview

In this paper, the notion of orthogonal vector-valued wavelets is introduced. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is presented by using paraunitary vector filter bank theory, time-frequency analysis method and matrix theory. A new method for constructing a class of orthog- -onal finitectly supported vector-valued wavelets is presented.



Key Engineering Materials (Volumes 439-440)

Edited by:

Yanwen Wu




S. W. Guo and J. C. Shi, "A Novel Approach for Constructing a Class of Orthogon Vector-Valued Wavelets with Finite Support ", Key Engineering Materials, Vols. 439-440, pp. 1123-1128, 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 LR . 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] S. Yang. Z. Cheng H. Wang, Construction of biorthogonal multiwavelets, Math Anal Appl, 2002, 276(1), 1-12.

Fetching data from Crossref.
This may take some time to load.