Title :
Wavelets of composite type
Author :
Gilbert, John E. ; Lakey, Joseph D.
Author_Institution :
Appl. Res. Lab., Texas Univ., Austin, TX, USA
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-1775-0
DOI :
10.1109/ICASSP.1994.389857
