Title :
The characterization of a class of affine pseudoframes of space L2(R) with refinable functions
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., 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.
Keywords :
Hilbert spaces; affine transforms; GMS; L2(R) subspace; Paley-Wiener subspace; affine pseudoframes; Biomedical signal processing; Fourier series; Fourier transforms; Hilbert space; Intelligent structures; Intelligent transportation systems; Power electronics; Signal processing; Signal resolution; Sufficient conditions; finite support; generalized multiresolution structure; pseudodoframes; refinable functions;
Conference_Titel :
Power Electronics and Intelligent Transportation System (PEITS), 2009 2nd International Conference on
Conference_Location :
Shenzhen
Print_ISBN :
978-1-4244-4544-8
DOI :
10.1109/PEITS.2009.5406927
