On optimum oversampling in the Gabor scheme

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Samenvatting

The windowed Fourier transform of a time signal is considered, as well as a way to reconstruct the signal from a sufficiently densely sampled version of its windowed Fourier transform using a Gabor representation; following Gabor, sampling occurs on a two-dimensional time-frequency lattice with equidistant time intervals and equidistant frequency intervals. In the limit of infinitely dense sampling, the optimum synthesis window (which appears in Gabor's reconstruction formula) becomes similar to the analysis window (which is used in the windowed Fourier transform). It is shown that this similarity can already be reached for a rather small degree of oversampling, if the sampling distances in the time and frequency directions are properly chosen. A procedure is presented with which the optimum ratio of the sampling intervals can be determined. The theory is elucidated by finding the optimum ratio in the cases of a Gaussian and an exponential analysis window.
Originele taal-2Engels
TitelProc. ICASSP 97, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, München, Germany
Plaats van productieLos Alamitos, CA
UitgeverijIEEE Computer Society
Pagina's2101-2104
ISBN van geprinte versie0-8186-7919-0
DOI's
StatusGepubliceerd - 1997
Evenement1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1997) - Munich, Duitsland
Duur: 21 apr 199724 apr 1997

Congres

Congres1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1997)
Verkorte titelICASSP 1997
LandDuitsland
StadMunich
Periode21/04/9724/04/97
AnderProc. ICASSP 97, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, München, Germany, 21-24 April 1997

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  • Citeer dit

    Bastiaans, M. J. (1997). On optimum oversampling in the Gabor scheme. In Proc. ICASSP 97, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, München, Germany (blz. 2101-2104). IEEE Computer Society. https://doi.org/10.1109/ICASSP.1997.599449