From the rectangular to the quincunx Gabor lattice via fractional Fourier transformation

Author

Bastiaans, Martin J. ; Van Leest, Arno J.

Author_Institution

Eindhoven Univ. of Technol., Netherlands

Volume

5

Issue

8

fYear

1998

Firstpage

203

Lastpage

205

Abstract

Transformations of Gabor lattices have been associated with operations on the window functions that arise in Gabor theory. In particular, it has been shown that transformation from a rectangular to a quincunx lattice can be associated with fractional Fourier transformation. Since a Gaussian function, which plays an important role as a window function in Gabor theory, is an eigenfunction of fractional Fourier transformation, this transformation has a clear advantage over other operations that are used to transform a rectangular lattice into a quincunx lattice.

Keywords

Fourier transforms; Gaussian processes; eigenvalues and eigenfunctions; signal sampling; time-frequency analysis; Gabor theory; Gaussian function; eigenfunction; fractional Fourier transformation; quincunx Gabor lattice; rectangular lattice; sampling lattice; signal transformations; time-ferquency analysis; window functions; Chirp modulation; Eigenvalues and eigenfunctions; Fourier transforms; Geometry; Lattices; Phase modulation; Sampling methods; Signal representations; Signal synthesis; Time frequency analysis;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.704972

Filename

704972