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

fYear

1994

fDate

25-28 Oct 1994

Firstpage

385

Lastpage

388

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/TFSA.1994.467220

Filename

467220