Oversampled Gabor expansion into one-side exponential functions

In this paper we consider the Gabor representation which uses a one-sided exponential window for detection and analysis of transient signals. Earlier results on the critically sampled case are extended to the more practically useful oversampled case. For oversampling by an integer factor we derive a...

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Bibliographic Details
Published inProceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers Vol. 2; pp. 954 - 958 vol.2
Main Authors Friedlander, B., Zeira, A.
Format Conference Proceeding
LanguageEnglish
Published IEEE Comput. Soc. Press 1994
Subjects
Artificial intelligence
Contracts
Data analysis
Drives
Electronic warfare
Hilbert space
Sampling methods
Signal analysis
Signal processing
Transient analysis
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ISBN0818664053
9780818664052
ISSN1058-6393
DOI10.1109/ACSSC.1994.471601

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Summary:In this paper we consider the Gabor representation which uses a one-sided exponential window for detection and analysis of transient signals. Earlier results on the critically sampled case are extended to the more practically useful oversampled case. For oversampling by an integer factor we derive an explicit analytical expression for the dual window (dual frame) function required for computing the Gabor representation. Based on this expression we develop an efficient procedure for computing the Gabor coefficients. Finally, we demonstrate the performance of the method by numerical examples.< >
ISBN:0818664053
9780818664052
ISSN:1058-6393
DOI:10.1109/ACSSC.1994.471601