Title :
Nonuniform sampling/oversampling and extensions for wavelet subspaces
Author :
Djokovic, Igor ; Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
In this paper, we generalize existing sampling theory for wavelet subspaces, in several directions. These new schemes allow for compactly supported synthesizing and scaling functions, which was not possible before. All the problems are treated in a unified way using multirate filter banks. This offers simple and efficient implementations of the algorithms. This new possibility of having compactly supported synthesizing functions is used for very efficient computation of inner products in multiresolution subspaces
Keywords :
band-pass filters; sampled data filters; signal reconstruction; signal resolution; signal sampling; wavelet transforms; algorithms; compactly supported synthesizing functions; extensions; inner products; multirate filter banks; multiresolution subspaces; nonuniform sampling; oversampling; reconstruction; scaling functions; wavelet subspaces; Convergence; Filter bank; Hilbert space; Interpolation; Kernel; Multiresolution analysis; Nonuniform sampling; Sampling methods;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-2127-8
DOI :
10.1109/TFSA.1994.467220
