Gabor's signal expansion on a quincunx lattice and the modified Zak transform

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

doi:10.1109/ICASSP.1999.756224

Gabor's signal expansion on a quincunx lattice and the modified Zak transform

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

Abstract

Gabor's expansion of a signal on a quincunx lattice with oversampling by a rational factor is presented for continuous-time signals. It is shown how a modified Zak transform instead of the ordinary Zak transform can be helpful in determining Gabor's signal expansion coefficients and how it can be used in finding the dual window. Furthermore, some examples of dual windows for the quincunx case are given and compared with dual windows for the rectangular case.

Original language	English
Title of host publication	ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ
Pages	1325-1328
Volume	3
DOIs	https://doi.org/10.1109/ICASSP.1999.756224
Publication status	Published - 1999
Event	1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999) - Phoenix, United States Duration: 15 Mar 1999 → 19 Mar 1999

Conference

Conference	1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999)
Abbreviated title	ICASSP 1999
Country/Territory	United States
City	Phoenix
Period	15/03/99 → 19/03/99

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10.1109/ICASSP.1999.756224

Cite this

@inproceedings{8d7252ca129b402caf901f62143db0ad,

title = "Gabor's signal expansion on a quincunx lattice and the modified Zak transform",

abstract = "Gabor's expansion of a signal on a quincunx lattice with oversampling by a rational factor is presented for continuous-time signals. It is shown how a modified Zak transform instead of the ordinary Zak transform can be helpful in determining Gabor's signal expansion coefficients and how it can be used in finding the dual window. Furthermore, some examples of dual windows for the quincunx case are given and compared with dual windows for the rectangular case.",

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

year = "1999",

doi = "10.1109/ICASSP.1999.756224",

language = "English",

volume = "3",

pages = "1325--1328",

booktitle = "ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ",

note = "1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999), ICASSP 1999 ; Conference date: 15-03-1999 Through 19-03-1999",

}

Leest, van, AJ & Bastiaans, MJ 1999, Gabor's signal expansion on a quincunx lattice and the modified Zak transform. in ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ. vol. 3, pp. 1325-1328, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999), Phoenix, Arizona, United States, 15/03/99. https://doi.org/10.1109/ICASSP.1999.756224

TY - GEN

T1 - Gabor's signal expansion on a quincunx lattice and the modified Zak transform

AU - Leest, van, A.J.

AU - Bastiaans, M.J.

PY - 1999

Y1 - 1999

N2 - Gabor's expansion of a signal on a quincunx lattice with oversampling by a rational factor is presented for continuous-time signals. It is shown how a modified Zak transform instead of the ordinary Zak transform can be helpful in determining Gabor's signal expansion coefficients and how it can be used in finding the dual window. Furthermore, some examples of dual windows for the quincunx case are given and compared with dual windows for the rectangular case.

AB - Gabor's expansion of a signal on a quincunx lattice with oversampling by a rational factor is presented for continuous-time signals. It is shown how a modified Zak transform instead of the ordinary Zak transform can be helpful in determining Gabor's signal expansion coefficients and how it can be used in finding the dual window. Furthermore, some examples of dual windows for the quincunx case are given and compared with dual windows for the rectangular case.

U2 - 10.1109/ICASSP.1999.756224

DO - 10.1109/ICASSP.1999.756224

M3 - Conference contribution

VL - 3

SP - 1325

EP - 1328

BT - ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ

T2 - 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999)

Y2 - 15 March 1999 through 19 March 1999

ER -

Gabor's signal expansion on a quincunx lattice and the modified Zak transform

Abstract

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