Title :
The Study of Subspace Pseudoframes of Translates with Several Refinable Functions
Author :
Wang, Hui ; Zhai, Meijuan
Author_Institution :
Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China
Abstract :
The concept of a generalized multiresolution structure (GMS) of L2(R) is presented. The definition of multiple pseudoframes for subspaces of L2(R) is proposed. The designment 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 established based on such a generalized multiresolution structure.
Keywords :
affine transforms; wavelet transforms; Paley Wiener subspaces; affine frames; generalized multiresolution structure; refinable functions; subspace pseudoframes; wavelet transform; Educational technology; Electronic learning; Fourier series; Fourier transforms; Hilbert space; Multiresolution analysis; Signal processing; Signal resolution; Space technology; Wavelet transforms; finite support; generalized multiresolution structure; matrix theory; pseudodoframes; refinable functions;
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.2010.88
