On the windowed Fourier transform as an interpolation of the Gabor transform

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

The windowed Fourier transform and its sampled version - the Gabor transform - are introduced. With the help of Gabor's signal expansion, an interpolation function is derived with which the windowed Fourier transform can be constructed from the Gabor transform. Using the Zak transform, it is shown that - at least in the case of integer oversampling - the Gabor transform can be represented in product form. Based on this product form, a coherent-optical system is presented with which the Gabor transform can be generated on a rectangular lattice in the output plane of the optical system. It is shown how the function in the output plane is related to the Gabor transform, and under what conditions this function resembles the windowed Fourier transform.
Originele taal-2Engels
TitelSignal Analysis and Prediction I, Proc. ECSAP-97, First European Conference on Signal Analysis and Prediction, Prague, Czech Republic
RedacteurenA. Prochßzka, J. Uhlør, P. Sovka
Plaats van productiePrague, Czech Republic
UitgeverijICT Press
Pagina's265-268
ISBN van geprinte versie80-7080-282-0
StatusGepubliceerd - 1997
Evenementconference; Signal Analysis and Prediction I, Proc. ECSAP-97, First European Conference on Signal Analysis and Prediction, Prague, Czech Republic, 24-27 June 1997; 1997-06-24; 1997-06-27 -
Duur: 24 jun 199727 jun 1997

Congres

Congresconference; Signal Analysis and Prediction I, Proc. ECSAP-97, First European Conference on Signal Analysis and Prediction, Prague, Czech Republic, 24-27 June 1997; 1997-06-24; 1997-06-27
Periode24/06/9727/06/97
AnderSignal Analysis and Prediction I, Proc. ECSAP-97, First European Conference on Signal Analysis and Prediction, Prague, Czech Republic, 24-27 June 1997

Vingerafdruk Duik in de onderzoeksthema's van 'On the windowed Fourier transform as an interpolation of the Gabor transform'. Samen vormen ze een unieke vingerafdruk.

  • Citeer dit

    Bastiaans, M. J. (1997). On the windowed Fourier transform as an interpolation of the Gabor transform. In A. Prochßzka, J. Uhlør, & P. Sovka (editors), Signal Analysis and Prediction I, Proc. ECSAP-97, First European Conference on Signal Analysis and Prediction, Prague, Czech Republic (blz. 265-268). ICT Press.