Title :
On the non-separable discrete Gabor signal expansion and the Zak transform
Author :
Van Leest, Arno J. ; Bastiaans, Martin J.
Author_Institution :
Fac. Elekrotech., Eindhoven Univ. of Technol., Netherlands
Abstract :
The discrete Gabor signal expansion on a lattice that is obtained by linear combinations of two independent vectors, and its relation with the discrete Zak transform are presented. It is shown how the Zak transform can be helpful in determining Gabor´s signal expansion coefficients and how it can be used in finding the dual window that corresponds to a given window for this (generally non-separable) lattice
Keywords :
discrete transforms; signal processing; discrete Zak transform; dual window; independent vectors; linear combinations; local frequency spectrum; nonseparable Gabor transform; nonseparable discrete Gabor signal expansion; nonseparable lattice; Australia; Delta modulation; Discrete transforms; Lattices; Signal processing; Signal processing algorithms; Time frequency analysis; Vectors;
Conference_Titel :
Signal Processing and Its Applications, 1999. ISSPA '99. Proceedings of the Fifth International Symposium on
Conference_Location :
Brisbane, Qld.
Print_ISBN :
1-86435-451-8
DOI :
10.1109/ISSPA.1999.818163
