Title :
Existence and Property of Subspace Pseudoframes Associated with a Generalized Multiresolution Analysis
Author :
Guo, Mingpu ; Wang, Yuying
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
The frame theory has been one of powerful tools for researching into wavelets. In the article, the notion of affine bivariate pseudoframes is introduced. The concept of a bivariate generalized multiresolution analysis is developed. A novel approach for constructing one GMRA of Paley-Wiener subspaces of L2(R2) is presented. The sufficient condition for the existence of a class of pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is established based on such a generalized multiresolution analysis.
Keywords :
filtering theory; signal resolution; wavelet transforms; Paley-Wiener subspaces; affine bivariate pseudoframes; bivariate generalized multiresolution analysis; filter banks; frame theory; subspace pseudoframes; sufficient condition; Conference management; Engineering management; Filter bank; Hilbert space; Information management; Information technology; Multiresolution analysis; Power engineering and energy; Signal resolution; Technology management; affine frames; bivariate; filter banks; generalized multiresolution analysis; pseudoframes;
Conference_Titel :
Future Information Technology and Management Engineering, 2009. FITME '09. Second International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-5339-9
DOI :
10.1109/FITME.2009.139
