Constructive Approaches to Biorthogonal Finitely Supported Ternary Wavelets and Wavelet Wraps

Abstract:

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In this paper, the notion of biorthogonal two-directional shortly supported wavelets with poly-scale is developed. A new method for designing two-directional biorthogonal wavelets is proposed. The existence of shortly supported biorthogonal vector-valued wavelets associated with a pair of biorthogonal compactly supported vector-valued scaling functions is investigated. A novel constructive method for designing a sort of biorthogonal vector-valued wavelet wraps is presented and their biorthogonality traits are characerized. Two biorthogonality formulas regarding these wavelet wraps are established.

Info:

Periodical:

Advanced Materials Research (Volumes 219-220)

Edited by:

Helen Zhang, Gang Shen and David Jin

Pages:

504-507

DOI:

10.4028/www.scientific.net/AMR.219-220.504

Citation:

J. T. Zhao and H. L. Guo, "Constructive Approaches to Biorthogonal Finitely Supported Ternary Wavelets and Wavelet Wraps", Advanced Materials Research, Vols. 219-220, pp. 504-507, 2011

Online since:

March 2011

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$35.00

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