Specific Intelligent Traits of a Kind of Quarternary Wavelet Packs with an Integer-Valued Expansive Dilation Matrix

Hong Lin Guo

doi:10.4028/www.scientific.net/AMR.171-172.117

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 171-172Specific Intelligent Traits of a Kind of...

Specific Intelligent Traits of a Kind of Quarternary Wavelet Packs with an Integer-Valued Expansive Dilation Matrix

Abstract:

In this work, the notion of orthogonal nonseparable quarternary wavelet packs, which is the generalization of orthogonal univariate wavelet packs, is introduced. The definition for orthogonal nonseparable quarternary wavelet packs is presented by iteration method. The orthogonality characters of quarternary wavelet packs are discussed. Three orthogonality formulas concerning these wavelet packets are estabished. Moreover, it is shown how to obtain new orthogonal bases of space from these wavelet packets.

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Periodical:

Advanced Materials Research (Volumes 171-172)

Pages:

117-120

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.171-172.117

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Online since:

December 2010

Authors:

Hong Lin Guo

Keywords:

Expansive Matrix, Filter Function, Orthogonal, Quarternary, Symetric Wavelets, Time-Frequency Analysis Method, Wavelet Pack

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