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Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)
Pacific Grove, CA, USA
Oct. 31, 1994 to Nov. 2, 1994
ISSN: 1058-6393
ISBN: 0-8186-6405-3
pp: 1100-1104
Youhong Lu , Dept. of Electr. Eng., Maryland Univ., Baltimore, MD, USA
J.M. Morris , Dept. of Electr. Eng., Maryland Univ., Baltimore, MD, USA
ABSTRACT
A biorthogonal-like sequence (BLS) theory and its application to the generalized Gabor (1946) expansion (equivalently, the generalized short-time Fourier transform/filterbank summation) are presented. A pair of BLSs are defined to be two sequences satisfying a biorthogonal-like condition (BLC). We show that two collections in a Hilbert space generated by a pair of BLSs in the joint time-frequency domain are complete, and either can be used as an analysis filter, and the other as a synthesis filter, for a generalized Gabor expansion of discrete-time signals. An efficient algorithm for computation of BLSs is addressed in detail, and examples are presented to illustrate our results.<>
INDEX TERMS
sequences, filtering theory, time-frequency analysis, Fourier transforms, band-pass filters, signal representation
CITATION

Youhong Lu and J. Morris, "Biorthogonal-like sequences and generalized Gabor expansions of discrete-time signals in l/sup 2/(Z)," Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC), Pacific Grove, CA, USA, 1995, pp. 1100-1104.
doi:10.1109/ACSSC.1994.471629
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