On the non-separable discrete Gabor signal expansion and the Zak transform

A.J. Leest, van; M.J. Bastiaans

doi:10.1109/ISSPA.1999.818163

On the non-separable discrete Gabor signal expansion and the Zak transform

A.J. Leest, van, M.J. Bastiaans

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

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.

Original language	English
Title of host publication	Proc. ISSPA '99, Fifth International Symposium on Signal Processing and its Applications, Brisbane, Australia
Editors	M. Deriche, B. Boashash, W.W. Boles
Place of Publication	Brisbane, QLD, Australia
Publisher	Queensland University of Technology
Pages	263-266
ISBN (Print)	1 86435 451 8
DOIs	https://doi.org/10.1109/ISSPA.1999.818163
Publication status	Published - 1999
Event	ISSPA '99, Fifth International Symposium on Signal Processing and its Applications - Brisbane, Australia Duration: 22 Aug 1999 → 25 Aug 1999

Conference

Conference	ISSPA '99, Fifth International Symposium on Signal Processing and its Applications
Country/Territory	Australia
City	Brisbane
Period	22/08/99 → 25/08/99

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10.1109/ISSPA.1999.818163

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Leest, van, A. J., & Bastiaans, M. J. (1999). On the non-separable discrete Gabor signal expansion and the Zak transform. In M. Deriche, B. Boashash, & W. W. Boles (Eds.), Proc. ISSPA '99, Fifth International Symposium on Signal Processing and its Applications, Brisbane, Australia (pp. 263-266). Queensland University of Technology. https://doi.org/10.1109/ISSPA.1999.818163

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title = "On the non-separable discrete Gabor signal expansion and the Zak transform",

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.",

author = "{Leest, van}, A.J. and M.J. Bastiaans",

year = "1999",

doi = "10.1109/ISSPA.1999.818163",

language = "English",

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booktitle = "Proc. ISSPA '99, Fifth International Symposium on Signal Processing and its Applications, Brisbane, Australia",

publisher = "Queensland University of Technology",

note = "ISSPA '99, Fifth International Symposium on Signal Processing and its Applications ; Conference date: 22-08-1999 Through 25-08-1999",

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Leest, van, AJ & Bastiaans, MJ 1999, On the non-separable discrete Gabor signal expansion and the Zak transform. in M Deriche, B Boashash & WW Boles (eds), Proc. ISSPA '99, Fifth International Symposium on Signal Processing and its Applications, Brisbane, Australia. Queensland University of Technology, Brisbane, QLD, Australia, pp. 263-266, ISSPA '99, Fifth International Symposium on Signal Processing and its Applications, Brisbane, Australia, 22/08/99. https://doi.org/10.1109/ISSPA.1999.818163

On the non-separable discrete Gabor signal expansion and the Zak transform. / Leest, van, A.J.; Bastiaans, M.J.
Proc. ISSPA '99, Fifth International Symposium on Signal Processing and its Applications, Brisbane, Australia. ed. / M. Deriche; B. Boashash; W.W. Boles. Brisbane, QLD, Australia: Queensland University of Technology, 1999. p. 263-266.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - 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.

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DO - 10.1109/ISSPA.1999.818163

M3 - Conference contribution

SN - 1 86435 451 8

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BT - Proc. ISSPA '99, Fifth International Symposium on Signal Processing and its Applications, Brisbane, Australia

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PB - Queensland University of Technology

CY - Brisbane, QLD, Australia

T2 - ISSPA '99, Fifth International Symposium on Signal Processing and its Applications

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Leest, van AJ, Bastiaans MJ. On the non-separable discrete Gabor signal expansion and the Zak transform. In Deriche M, Boashash B, Boles WW, editors, Proc. ISSPA '99, Fifth International Symposium on Signal Processing and its Applications, Brisbane, Australia. Brisbane, QLD, Australia: Queensland University of Technology. 1999. p. 263-266 doi: 10.1109/ISSPA.1999.818163

On the non-separable discrete Gabor signal expansion and the Zak transform

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