The discrete Gabor transform and the discrete Zak transform on a quincunx lattice

A.J. Leest, van

doi:10.1109/TFSA.1998.721354

The discrete Gabor transform and the discrete Zak transform on a quincunx lattice

A.J. Leest, van

Signal Processing Systems

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

Abstract

The discrete Gabor expansion on a quincunx lattice and its relation with the discrete Zak transform is 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 functions that correspond to a given elementary signal for this quincunx lattice. Furthermore, some examples are given and compared with Gabor's signal expansion on a rectangular lattice.

Original language	English
Title of host publication	Procedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	33-36
Number of pages	4
ISBN (Print)	0-7803-5073-1
DOIs	https://doi.org/10.1109/TFSA.1998.721354
Publication status	Published - 1998
Event	conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09 - Duration: 6 Oct 1998 → 9 Oct 1998

Conference

Conference	conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09
Period	6/10/98 → 9/10/98

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10.1109/TFSA.1998.721354

Cite this

@inproceedings{685b30403dc14e13a729770c91cc1b0e,

title = "The discrete Gabor transform and the discrete Zak transform on a quincunx lattice",

abstract = "The discrete Gabor expansion on a quincunx lattice and its relation with the discrete Zak transform is 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 functions that correspond to a given elementary signal for this quincunx lattice. Furthermore, some examples are given and compared with Gabor's signal expansion on a rectangular lattice.",

author = "\{Leest, van\}, A.J.",

year = "1998",

doi = "10.1109/TFSA.1998.721354",

language = "English",

isbn = "0-7803-5073-1",

pages = "33--36",

booktitle = "Procedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09 ; Conference date: 06-10-1998 Through 09-10-1998",

}

Leest, van, AJ 1998, The discrete Gabor transform and the discrete Zak transform on a quincunx lattice. in Procedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis., 721354, Institute of Electrical and Electronics Engineers, Piscataway, pp. 33-36, conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09, 6/10/98. https://doi.org/10.1109/TFSA.1998.721354

The discrete Gabor transform and the discrete Zak transform on a quincunx lattice. / Leest, van, A.J.
Procedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Piscataway: Institute of Electrical and Electronics Engineers, 1998. p. 33-36 721354.

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

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PY - 1998

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N2 - The discrete Gabor expansion on a quincunx lattice and its relation with the discrete Zak transform is 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 functions that correspond to a given elementary signal for this quincunx lattice. Furthermore, some examples are given and compared with Gabor's signal expansion on a rectangular lattice.

AB - The discrete Gabor expansion on a quincunx lattice and its relation with the discrete Zak transform is 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 functions that correspond to a given elementary signal for this quincunx lattice. Furthermore, some examples are given and compared with Gabor's signal expansion on a rectangular lattice.

U2 - 10.1109/TFSA.1998.721354

DO - 10.1109/TFSA.1998.721354

M3 - Conference contribution

SN - 0-7803-5073-1

SP - 33

EP - 36

BT - Procedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09

Y2 - 6 October 1998 through 9 October 1998

ER -

The discrete Gabor transform and the discrete Zak transform on a quincunx lattice

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