DocumentCode :
3021081
Title :
Two-dimensional biorthonormal wavelet on ZN1 × ZN2
Author :
Shi, Zhi ; Xing, Hai-yan ; Peng, Boa-yu
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
fYear :
2009
fDate :
12-15 July 2009
Firstpage :
423
Lastpage :
428
Abstract :
In this paper, Fourier analysis are first presented in the two-dimensional context. Then existing work on the representation of wavelets on ZN is extended to two dimensions. A necessary and sufficient condition on the existence of biorthonormal wavelets on ZN1 times ZN2 is derived. A method for constructing biorthonormal wavelets on ZN1 times ZN2 is presented and their properties is investigated by mean of time-frequency analysis method, matrix theory and operator theory.
Keywords :
Fourier analysis; Fourier transforms; matrix algebra; time-frequency analysis; wavelet transforms; Fourier analysis; Fourier transform; biorthonormal wavelet construction; matrix theory; operator theory; time-frequency analysis method; two-dimensional biorthonormal wavelet; Pattern analysis; Pattern recognition; Wavelet analysis; Decomposition; Fourier transform; Reconstruction; biorthonormal wavelet;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3728-3
Electronic_ISBN :
978-1-4244-3729-0
Type :
conf
DOI :
10.1109/ICWAPR.2009.5207487
Filename :
5207487
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3021081
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