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

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Samenvatting

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.

Originele taal-2	Engels
Titel	ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ
Pagina's	1325-1328
Volume	3
DOI's	https://doi.org/10.1109/ICASSP.1999.756224
Status	Gepubliceerd - 1999
Evenement	1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999) - Phoenix, Verenigde Staten van Amerika Duur: 15 mrt. 1999 → 19 mrt. 1999

Congres

Congres	1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999)
Verkorte titel	ICASSP 1999
Land/Regio	Verenigde Staten van Amerika
Stad	Phoenix
Periode	15/03/99 → 19/03/99
Ander	ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ, 15-19 March 1999

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10.1109/ICASSP.1999.756224

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@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, blz. 1325-1328, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999), Phoenix, Arizona, Verenigde Staten van Amerika, 15/03/99. https://doi.org/10.1109/ICASSP.1999.756224

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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

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Congres

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