The Presentation of Biorthogonal Non-Tensor Trivariate Wavelet Wraps in Besov Space

De Lin Hua

doi:10.4028/www.scientific.net/AMR.461.738

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 461The Presentation of Biorthogonal Non-Tensor...

The Presentation of Biorthogonal Non-Tensor Trivariate Wavelet Wraps in Besov Space

Abstract:

In this paper, the concept of orthogonal non-tensor bivariate wavelet packs, which is the generalization of orthogonal univariate wavelet packs, is pro -posed by virtue of analogy method and iteration method. Their orthogonality property is investigated by using time-frequency analysis method and variable se-paration approach. Three orthogonality formulas regarding these wavelet wraps are established. Moreover, it is shown how to draw new orthonormal bases of space from these wavelet wraps. A procedure for designing a class of orthogonal vector-valued finitely supported wavelet functions is proposed by virtue of filter bank theory and matrix theory.

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Periodical:

Advanced Materials Research (Volume 461)

Pages:

738-742

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.461.738

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Online since:

February 2012

Authors:

De Lin Hua

Keywords:

Besov Space, Bessel Sequence, Biorthonormal Relation, Fourier Transfer, Non-Tensor, Trivariate Wavelet Wraps

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References

[1] L. Telesca, et al., Multiresolution wavelet analysis of earthquakes,. Chaos, Solitons & Fractals, Vol. 22, No. 3, PP. 741-748, (2004).

DOI: 10.1016/j.chaos.2004.02.021

Google Scholar

[2] G. Iovane, P. Giordano. Wavelet and multiresolution analysis: Nature of Cantorian space-time. Chaos, Solitons & Frac-tals, Vol. 32, No. 4, PP. 896-910, (2007).

DOI: 10.1016/j.chaos.2005.11.097

Google Scholar

[3] N. Zhang, X. Wu X. Lossless Compression of Color Mosaic Images,. IEEE Trans Image processing Vol. 15, No. 16, PP. 1379-1388, (2006).

DOI: 10.1109/tip.2005.871116

Google Scholar

[4] Q. Chen, etal, A study on compactly supported orthogonal vector-valued wavelets and wavelet packets,. Chaos, Soli-tons & Fractals. Vol. 31, No. 4, PP. 1024-1034, (2007).

DOI: 10.1016/j.chaos.2006.03.097

Google Scholar

[5] Z. Shen. Nontensor product wavelet packets in , , SIAM Math. Anal., Vol. 26, No. 4, PP. 1061-1074, (1995).

DOI: 10.1137/s0036141093243642

Google Scholar

[6] H. Cao X. Qu. Characteristics of a class of vector-valued nonseparable higher-dimensional wavelet packet bases. Chaos, Solitons & Fractals. 41 (4): 1676–1683 (2009).

DOI: 10.1016/j.chaos.2008.07.019

Google Scholar

[7] Q. Chen, H. Cao. Construction and decomposition of biorthogonal vector-valued wavelets with compact support.,. Chaos, Solitons & Fractals. 41 (4): 1676–1683, (2009).

DOI: 10.1016/j.chaos.2009.03.187

Google Scholar

[8] Q. Chen, A . Huo . The research of a class of biorthogonal compactly supported vector-valued wavelets, , Chaos , Solitons & Fractals , 41 (2 ), pp . 951-961, (2009).

DOI: 10.1016/j.chaos.2008.04.025

Google Scholar

[9] Q. Chen, X. Qu. Characteristics of a class of vector-valued nonseparable higher-dimensional wavelet packet bases.,. Chaos, Solitons & Fractals. 41 (4): 1676–1683, (2009).

DOI: 10.1016/j.chaos.2008.07.019

Google Scholar