Title :
Some Characterizations of Parseval Frame Wavelet
Author :
Wu, Guochang ; Wang, Junmin
Author_Institution :
Coll. of Inf., Henan Univ. of Finance & Econ., Zhengzhou, China
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;
Conference_Titel :
Computational Intelligence and Natural Computing, 2009. CINC '09. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3645-3
DOI :
10.1109/CINC.2009.15
