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Proceedings Paper

Multidimensional nonseparable Gabor expansions
Author(s): Werner Kozek; Hans Georg Feichtinger; Peter Prinz; Thomas Strohmer
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Paper Abstract

Various generalizations of the classical Gabor expansion are considered. Studying the frame operator via the Kohn- Nirenberg correspondence allows to obtain straightforward structural results for the situation of (i) nonseparable prototypes, and/or (ii) nonseparable time-frequency sampling lattices, and/or (iii) multi-prototypes. For such general Weyl-Heisenberg frames, it is shown how to reformulate the Janssen representation of the frame operator and the Wexler- Raz result. Moreover, an analysis of the analysis operator is performed that leads to quantitative results about the variety of admissible analysis/synthesis prototypes.

Paper Details

Date Published: 23 October 1996
PDF: 12 pages
Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255227
Show Author Affiliations
Werner Kozek, Univ. of Vienna (Austria)
Hans Georg Feichtinger, Univ. of Vienna (Austria)
Peter Prinz, Univ. of Vienna (Austria)
Thomas Strohmer, Univ. of Vienna (Austria)

Published in SPIE Proceedings Vol. 2825:
Wavelet Applications in Signal and Image Processing IV
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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