Title :
Subspace Affine Pseudoframes with a Generalized Multiresolution Structure and the Pyramid Decomposition Scheme
Author :
Wang, Xiaofeng ; Zhang, Fengling
Author_Institution :
Dept. of Math. & Phys., Henan Univ. of Urban Constr., Pingdingshan, China
Abstract :
In this paper, the notion of an three-band Generalized Multiresolution Structure(GMS) of L2(R) is introduced. The properties of affine pseudoframes for subspaces with three-scale is characterized. The construction of a GMS of Paley-Wiener subspaces of L2(R) is investigated. The pyramid decomposition scheme is derived based on such a GMS. As a major new constribution the construction of affine frames for L2(R) based on a GMS is presented.
Keywords :
Fourier series; Hilbert spaces; affine transforms; Fourier series; Hilbert spaces; Paley-Wiener subspace; generalized multiresolution structure; pyramid decomposition; subspace affine pseudoframe; Focusing; Fourier series; Fourier transforms; Hafnium; Hilbert space; Image processing; Mathematics; Physics; Signal processing; Signal resolution;
Conference_Titel :
Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4507-3
Electronic_ISBN :
978-1-4244-4507-3
DOI :
10.1109/CISE.2009.5363058
