Title :
The Characters of Multiple Affine Bivariate Pseudoframes of Translates with Bivariate Filter Functions
Author :
Lv, Baoxian ; Liu, Yong
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
The concept of a generalized bivariate multiresolution structure (GBMS) of space L2(R2) is formulated. A class of multiple affine bivariate pseudoframes for subspaces of L2(R2) is introduced. The construction of a GMS of Paley-Wiener subspaces of L2(R2) is studied. The sufficient condition for the existence of pyramid decomsition scheme is presented based on such a GBMS. A class of affine bivariate frames is constructed by this pyramid decomsition scheme.
Keywords :
affine transforms; stochastic processes; Paley-Wiener subspaces; bivariate filter functions; generalized bivariate multiresolution structure; multiple affine bivariate pseudoframes; pyramid decomsition; Electronic learning; Filters; Fourier series; Hilbert space; Mathematics; Multiresolution analysis; Redundancy; Signal processing; Signal resolution; Sufficient conditions; affine frames; bivariate; filter functions; multiple pseudoframes; pyramid decomsition scheme;
Conference_Titel :
e-Education, e-Business, e-Management, and e-Learning, 2010. IC4E '10. International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-5680-2
Electronic_ISBN :
978-1-4244-5681-9
DOI :
10.1109/IC4E.2010.86
