The Research into Biorthogonal Six-Variable Wavelet Packets with Two-Scale and Applications in Material Science

Shi Heng Wang; Chun Yi Jiao; Jian Tang Zhao

doi:10.4028/www.scientific.net/AMR.1006-1007.1080

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1006-1007The Research into Biorthogonal Six-Variable...

The Research into Biorthogonal Six-Variable Wavelet Packets with Two-Scale and Applications in Material Science

Abstract:

Material science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. In this paper, the notion of orthogonal nonseparable six-variable wavelet bundles is introduced. A new method for designing them is presented by iteration process. A nice approach for constructing six-variable biorthogonal wavelet bundles is developed. The bi-orthogonality property of six-variable wavelet packets is discussed. Biorthogonality formulas con-cerning these six-variable wavelet packets are obtained. A constructive method for affine frames is presented. Moreover, it is shown how to get new Riesz bases of from the wavelet bundles.

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Periodical:

Advanced Materials Research (Volumes 1006-1007)

Pages:

1080-1083

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1006-1007.1080

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Online since:

August 2014

Authors:

Shi Heng Wang*, Chun Yi Jiao, Jian Tang Zhao

Keywords:

Affine Frames, Filter Banks, Iterative Process, Time-Frequency Analysis, Wavelet Packets

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