NDLI: On the cross-biorthogonal representation

Content Provider	IEEE Xplore Digital Library
Author	Kadambe, S. Orr, R.S.
Copyright Year	1997
Description	Author affiliation: Atlantic Aerosp. Electron. Corp., Greenbelt, MD, USA (Kadambe, S.)
Abstract	A novel cross term deleted Wigner representation can be obtained by expanding the Wigner distribution (WD) in terms of two complementary Gabor coefficients of the signal and a translated set of Wigner basis functions. Two such complementary Gabor coefficients of a signal can be obtained by reversing the role of the Gabor synthesis window h(t) and its biorthogonal function b(t). Such a representation is defined here, as the cross-biorthogonal representation (XBIO). Details of derivation of this new representation is provided in this paper. The choice of the synthesis functions and their corresponding biorthogonal functions with respect to (i) concentration/resolution capabilities, (ii) redundancy vs. minimum-dimension tradeoffs, (iii) noise reduction and (iv) basis set properties of the XBIO representation are also discussed. Simulation results are provided to substantiate the theoretical findings.
Starting Page	3633
Ending Page	3636
File Size	410878
Page Count	4
File Format	PDF
ISBN	0818679190
ISSN	15206149
DOI	10.1109/ICASSP.1997.604653
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-04-21
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal synthesis Equations Time frequency analysis Aerospace electronics Signal resolution Noise reduction Biomedical signal processing Data mining Signal processing Gabor filters
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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