Optimum oversampling in the rectangular Gabor scheme

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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. For sufficiently dense sampling, the synthesis window (which appears in Gabor's reconstruction formula) may be constructed such that it resembles a rather arbitrarily given function; this function may or may not be proportional to the analysis window (which is used in the windowed Fourier transform). It is shown that the resemblance 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.
Originele taal-2Engels
TitelSignal Processing IX, Theories and Applications, Proc. EUSIPCO-98, Ninth European Signal Processing Conference, Rhodes, Greece
RedacteurenS. Theodoridis, I. Pitas, A. Stouraitis, N. Kalouptsidis
Plaats van productiePatras, Greece
UitgeverijTyporama Editions
Pagina's617-620
Volume2
ISBN van geprinte versie960-7620-07-0
StatusGepubliceerd - 1998
Evenement9th European Signal Processing Conference (EUSIPCO 1998) - Rhodos, Griekenland
Duur: 8 sep 199811 sep 1998
Congresnummer: 9

Congres

Congres9th European Signal Processing Conference (EUSIPCO 1998)
Verkorte titelEUSIPCO 1998
LandGriekenland
StadRhodos
Periode8/09/9811/09/98
AnderSignal Processing IX, Theories and Applications, Proc. EUSIPCO-98, Ninth European Signal Processing Conference, Vol. 1, Rhodes, Greece, 8-11 September 1998

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  • Citeer dit

    Bastiaans, M. J. (1998). Optimum oversampling in the rectangular Gabor scheme. In S. Theodoridis, I. Pitas, A. Stouraitis, & N. Kalouptsidis (editors), Signal Processing IX, Theories and Applications, Proc. EUSIPCO-98, Ninth European Signal Processing Conference, Rhodes, Greece (Vol. 2, blz. 617-620). Typorama Editions.