The nice characters of a sort of two-directional multiscale bivariate wavelet packs with finite support

Wavelet analysis is a popular subject in science research. In this work, the concept of biorthogonal two- direct- -ion finitely supported wavelet packs with four-scale is introduced. A new method for designing two-directional biorthogonal wavelet packs is developed and their properties is investi- -...

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Bibliographic Details
Main Authors: Fengling Zhang, Junping Zhao
Format: Conference Proceeding
Language:English
Subjects:
biorthogonal vector wavelets
Construction industry
Equations
finite support
Fourier transforms
Multiresolution analysis
two-directional
Wavelet packets
wavelet packs
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Summary:Wavelet analysis is a popular subject in science research. In this work, the concept of biorthogonal two- direct- -ion finitely supported wavelet packs with four-scale is introduced. A new method for designing two-directional biorthogonal wavelet packs is developed and their properties is investi- -gated by means of time-frequency analysis method, matrix theory and operator theory. The decomposition relationship is established. Finally, two Riesz bases of space L 2 (R 2 ) are drawn from these wavelet packs. The biorthogonal finitely supported uni-wavelet packs was generalized to two-directional biorthogonal wavelet packs.
DOI:10.1109/ESIAT.2010.5567273