Title :
The characters of multiple dual pseudoframes with multiple refinable functions and a generalized multiresolution structure
Author :
Sheng Zongsheng ; Li Xianghai
Author_Institution :
Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China
Abstract :
The notion of a generalized multiresolution structure (GMS) of L2(R) is formulated. The definition of multiple pseudoframes for subspaces of L2(R) is presented. The construction of a GMS of Paley-Wiener subspaces of L2(R) is investigated. The sufficient condition for the existence of multiple pseudoframes for subspaces of L2(R) is obtained based on such a GMS. A necessary and sufficient condition on the existence of biorthogonal multiple vector-valued wavelets is presented by means of paraunitary vector filter bank theory.
Keywords :
affine transforms; channel bank filters; signal resolution; time-frequency analysis; wavelet transforms; GMS; L2(R) subspace; Paley Wiener subspace; biorthogonal multiple vector value wavelet; generalized multiresolution structure; multiple dual pseudoframe; multiple refinable function; paraunitary vector filter bank theory; time frequency analysis method; Construction industry; Fourier series; Fourier transforms; Image resolution; Multiresolution analysis; Signal resolution; Sufficient conditions; affine fames; filter functions; multiple dual pseudofames; refinable functions; time-frequency analysis method;
Conference_Titel :
Environmental Science and Information Application Technology (ESIAT), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-7387-8
DOI :
10.1109/ESIAT.2010.5568576
