Title :
The multidimensional multi-window nonrectangular discrete Gabor schemes
Author :
Piao, Zhe ; Zibulski, Meir ; Zeevi, Yehoshua Y.
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Abstract :
The multi-window Gabor (1946) type scheme is generalized to the multidimensional case with special emphasis on nonrectangular lattices. The formulations are presented by means of matrix operations, which incorporate periodicity and sampling matrix that sample the continuous signal over different grids, such as hexagonal grids. The proposed scheme is discussed in the context of oversampling. Algorithms are presented in the Zak transform domain
Keywords :
discrete transforms; matrix algebra; multidimensional signal processing; signal representation; signal sampling; Zak transform; algorithms; continuous signal sampling; hexagonal grids; image representation; matrix operations; multidimensional discrete Gabor schemes; multidimensional signals; nonrectangular discrete Gabor schemes; nonrectangular lattices; oversampling; periodicity; sampling matrix; signal representation; Image processing; Image sampling; Image storage; Lattices; Matrix decomposition; Multidimensional systems; Sampling methods; Signal processing; Signal sampling; Stability;
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.1998.721356
