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Proceedings Paper

Equivalence of DFT filter banks and Gabor expansions
Author(s): Helmut Bolcskei; Franz Hlawatsch; Hans Georg Feichtinger
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Paper Abstract

Recently connections between the wavelet transform and filter banks have been established. We show that similar relations exist between the Gabor expansion and DFT filter banks. We introduce the `z-Zak transform' by suitably extending the discrete-time Zak transform and show its equivalence to the polyphase representation. A systematic discussion of parallels between DFT filter banks and Weyl-Heisenberg frames (Gabor expansion theory) is then given. Among other results, it is shown that tight Weyl-Heisenberg frames correspond to paraunitary DFT filter banks.

Paper Details

Date Published: 1 September 1995
PDF: 12 pages
Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); doi: 10.1117/12.217569
Show Author Affiliations
Helmut Bolcskei, Technische Univ. Wien (Austria)
Franz Hlawatsch, Technische Univ. Wien (Austria)
Hans Georg Feichtinger, Univ. of Vienna (Austria)

Published in SPIE Proceedings Vol. 2569:
Wavelet Applications in Signal and Image Processing III
Andrew F. Laine; Michael A. Unser, Editor(s)

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