Title :
Modified Zak transform for the quincunx-type Gabor lattice
Author :
Bastiaans, Martin J. ; Van Leest, Arno J.
Author_Institution :
Fac. Elektrotech., Eindhoven Univ. of Technol., Netherlands
Abstract :
Gabor´s (1946) signal expansion and the Gabor transform are formulated on a quincunx lattice instead of on the traditional rectangular lattice; the representation of the quincunx lattice is based on the rectangular lattice via either a shear operation or a rotation operation. A modified Zak (1972) transformation is defined with the help of which Gabor´s signal expansion and the Gabor transform can be brought into product forms that are identical to the ones that are well known for the rectangular sampling geometry
Keywords :
Z transforms; signal representation; signal sampling; Fourier transform; Gabor signal expansion; Gabor transform; modified Zak transform; product forms; quincunx lattice representation; quincunx-type Gabor lattice; rectangular lattice; rectangular sampling geometry; rotation operation; sampling lattice; shear operation; Chirp modulation; Delta modulation; Equations; Fourier transforms; Frequency synthesizers; Geometry; Lattices; Sampling methods; Signal synthesis;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Pittsburgh, PA
Print_ISBN :
0-7803-5073-1
DOI :
10.1109/TFSA.1998.721389
