Title :
The discrete Gabor transform and the discrete Zak transform on a quincunx lattice
Author :
Van Leest, Arno J.
Author_Institution :
Fac. of Elektrotech., Eindhoven Univ. of Technol., Netherlands
Abstract :
The discrete Gabor expansion on a quincunx lattice and its relation with the discrete Zak transform is 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 functions that correspond to a given elementary signal for this quincunx lattice. Furthermore, some examples are given and compared with Gabor´s signal expansion on a rectangular lattice
Keywords :
discrete transforms; signal sampling; discrete Gabor expansion; discrete Gabor transform; discrete Zak transform; dual window functions; elementary signal; oversampling; quincunx lattice; rectangular lattice; signal expansion coefficients; Discrete transforms; Filter bank; Lattices; Marine vehicles;
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.1998.721354
