Title :
A generalized multiresolution structure and multi-ple pseudoframes of translates
Author :
Chen, Qing-jiang ; Zhou, Jian-feng ; Shi, Zhi
Author_Institution :
Xi´´an Univ. of Archit. & Technol., Xi´´an
Abstract :
The definition of multiple pseudoframes for subspaces is given. The notion of a Generalized Multiresolution Structure(GMS) of L2(R) is introduced. 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 is derived based on such a GMS.
Keywords :
Hilbert spaces; signal resolution; Hilbert space; Paley-Wiener subspaces; generalized multiresolution structure; multiple pseudoframes; Educational institutions; Fourier series; Fourier transforms; Hilbert space; Notice of Violation; Pattern analysis; Pattern recognition; Signal processing; Signal resolution; Wavelet analysis; Generalized multiresolution structure; affine frames; multiple pseudoframes;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2007. ICWAPR '07. International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-1065-1
Electronic_ISBN :
978-1-4244-1066-8
DOI :
10.1109/ICWAPR.2007.4420800
