DocumentCode :
2153515
Title :
Two-dimensional periodic discrete wavelets bases
Author :
Shi, Zhi ; Peng, Bao-Yu
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
fYear :
2010
fDate :
11-14 July 2010
Firstpage :
375
Lastpage :
380
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 wavelets on ZN1 × ZN2 is derived. A method for constructing wavelets on ZN1 × ZN2 is presented and their properties is investigated by mean of time-frequency analysis method, matrix theory and operator theory.
Keywords :
Fourier analysis; discrete wavelet transforms; matrix algebra; time-frequency analysis; Fourier analysis; matrix theory; operator theory; time-frequency analysis method; two-dimensional periodic discrete wavelets bases; wavelet representation; Zinc; Fourier analysis; decomposition; reconstruction; wavelet;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Wavelet Analysis and Pattern Recognition (ICWAPR), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6530-9
Type :
conf
DOI :
10.1109/ICWAPR.2010.5576398
Filename :
5576398
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2153515
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