Gabor's signal expansion and the Gabor transform based on a non-orthogonal sampling geometry

M.J. Bastiaans, A.J. Leest, van

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

2 Citaten (Scopus)
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Samenvatting

Gabor's signal expansion and the Gabor transform are formulated on a non-orthogonal time-frequency lattice instead of on the traditional rectangular lattice. The reason for doing so is that a non-orthogonal sampling geometry might be better adapted to the form of the window functions (in the time-frequency domain) than an orthogonal one. Oversampling in the Gabor scheme, which is required to have mathematically more attractive properties for the analysis window, then leads to better results in combination with less oversampling. The new procedure presented in this paper is based on considering the non-orthogonal lattice as a sub-lattice of a denser orthogonal lattice that is oversampled by a rational factor. In doing so, Gabor's signal expansion on a non-orthogonal lattice can be related to the expansion on an orthogonal lattice (restricting ourselves, of course, to only those sampling points that are part of the non-orthogonal sub-lattice), and all the techniques that have been derived for rectangular sampling can be used, albeit in a slightly modified form.
Originele taal-2Engels
TitelProc. ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications. Kuala Lumpur. Malaysia
Plaats van productiePiscataway. NJ
UitgeverijInstitute of Electrical and Electronics Engineers
Pagina's162-163
ISBN van geprinte versie0-7803-6704-9
DOI's
StatusGepubliceerd - 2001
Evenementconference; ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia; 2001-08-13; 2001-08-16 -
Duur: 13 aug. 200116 aug. 2001

Congres

Congresconference; ISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia; 2001-08-13; 2001-08-16
Periode13/08/0116/08/01
AnderISSPA 2001, the Sixth International Symposium on Signal Processing and its Applications, Kuala-Lumpur, Malaysia

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