Title :
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
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;
Journal_Title :
Signal Processing Letters, IEEE
