DocumentCode
2988802
Title
The application of sampling theorem of multiwavelet subspaces
Author
Xu, Yan-xin ; Chen, Jing-ren ; Luo, Hui
Author_Institution
Dept. of Math., Harbin Norm Univ., Harbin
Volume
2
fYear
2008
fDate
30-31 Aug. 2008
Firstpage
672
Lastpage
676
Abstract
In this paper, Walter extended the classical Shannon sampling theorem to some wavelet subspaces. We generalize the sampling theorem for multi-wavelet subspaces to multi-wavelet subspaces with a two-scaling function of Multi Resolution Analysis (MRA) based on reproducing kernel Hilbert space. Then the reconstruction function can be expressed by multi-wavelet with two scaling function of MRA using frame theorem and Zak transform. Examples are given.
Keywords
Hilbert spaces; signal reconstruction; signal resolution; signal sampling; wavelet transforms; Shannon sampling theorem; Zak transform; frame theorem; kernel Hilbert space; multiresolution analysis; multiwavelet subspace; scaling function; signal reconstruction; Hilbert space; Kernel; Mathematics; Multiresolution analysis; Pattern analysis; Pattern recognition; Sampling methods; Signal sampling; Space technology; Wavelet analysis; Frame; Multi-wavelet subspaces; Sampling; Wavelets;
fLanguage
English
Publisher
ieee
Conference_Titel
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location
Hong Kong
Print_ISBN
978-1-4244-2238-8
Electronic_ISBN
978-1-4244-2239-5
Type
conf
DOI
10.1109/ICWAPR.2008.4635864
Filename
4635864
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