DocumentCode :
3270078
Title :
Some Characterizations of Parseval Frame Wavelet
Author :
Wu, Guochang ; Wang, Junmin
Author_Institution :
Coll. of Inf., Henan Univ. of Finance & Econ., Zhengzhou, China
Volume :
2
fYear :
2009
fDate :
6-7 June 2009
Firstpage :
530
Lastpage :
533
Abstract :
This paper characterizes all generalized low-pass filters and MRA Parseval frame wavelets in L2(Rn) with matrix dilations of the form (Df)(x)=radic(2f)(Ax), where A is an arbitrary expanding n times n matrix with integer coefficients, such that |detA| =2. The pseudoscaling functions, generalized low pass filters and MRA Parseval frame wavelets are studied and some important properties about them are given.
Keywords :
low-pass filters; matrix algebra; wavelet transforms; MRA Parseval frame wavelet; low-pass filter; matrix dilation; multiresolution analysis; pseudoscaling function; Computational intelligence; Educational institutions; Finance; Frequency domain analysis; Low pass filters; Multiresolution analysis; Pattern recognition; Time frequency analysis; Wavelet domain; Wavelet transforms; Generalized low pass filter; MRA Parseval frame wavelets; Pseudo-scaling function;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computational Intelligence and Natural Computing, 2009. CINC '09. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3645-3
Type :
conf
DOI :
10.1109/CINC.2009.15
Filename :
5231293
Link To Document :
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