Wavelets of composite type

Author

Gilbert, John E. ; Lakey, Joseph D.

Author_Institution

Appl. Res. Lab., Texas Univ., Austin, TX, USA

Volume

iv

fYear

1994

fDate

19-22 Apr 1994

Abstract

A composite wavelet transform is defined and conditions for stable signal recovery are characterized. Frames for the space of finite energy signals then arise as discrete families of composite wavelets. These wavelet-type frames incorporate advantages of both the short-time Fourier transform and the continuous wavelet transform and are signal adaptive. As with the time-frequency atoms in work of Mallat and Zhang, the composite wavelets can be used to analyze competing signal structures. The added frame condition provides extra numerical stability

Keywords

adaptive signal processing; numerical stability; wavelet transforms; adaptive signal processing; composite wavelet transform; continuous wavelet transform; finite energy signals; numerical stability; short-time Fourier transform; signal analysis; signal structures; stable signal recovery; wavelet-type frames; Bandwidth; Continuous wavelet transforms; Contracts; Discrete wavelet transforms; Fourier transforms; Matching pursuit algorithms; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on

Conference_Location

Adelaide, SA

ISSN

1520-6149

Print_ISBN

0-7803-1775-0

Type

conf

DOI

10.1109/ICASSP.1994.389857

Filename

389857