Constructive Algorithm to Two-Directional Biorthogonal Shortly Supported Wavelets with Poly-Scale Dilation Factor

Yu Min Yu; Zong Sheng Sheng

doi:10.4028/www.scientific.net/AMR.171-172.113

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 171-172Constructive Algorithm to Two-Directional...

Constructive Algorithm to Two-Directional Biorthogonal Shortly Supported Wavelets with Poly-Scale Dilation Factor

Abstract:

In this work, the notion of biorthogonal two-directional shortly supported wavelets with poly-scale is developed. A new method for designing two-directional biorthogonal wavelet packets is proposed and their properties is investigated by means of time-frequency analysis methodand, operator theory. The existence of shortly supported biorthogonal vector-valued wavelets associated with a pair of biorthogonal compactly supported vector-valued scaling functions is investigated. A new method for designing a class of biorthogonal shortly supported vector-valued wavelet functions is presented by using multiresolution analysis and matrix theory.

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Periodical:

Advanced Materials Research (Volumes 171-172)

Pages:

113-116

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.171-172.113

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Online since:

December 2010

Authors:

Yu Min Yu, Zong Sheng Sheng

Keywords:

Biorthogonal, Multiresolution Analysis, Poly-Scale, Time-Frequency Analysis Method, Two-Directional Scaling Functions, Two-Directional Wavelets

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