Rectangular-to-quincunx Gabor lattice conversion via fractional Fourier transformation

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

doi:10.1109/TFSA.1998.721388

Rectangular-to-quincunx Gabor lattice conversion via fractional Fourier transformation

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

Signal Processing Systems

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

Abstract

Transformations of Gabor lattices are associated with operations on the window functions that arise in Gabor theory. In particular it is shown that transformation from a rectangular to a quincunx lattice can be associated with fractional Fourier transformation. Since a Gaussian function, which plays an important role as a window function in Gabor theory, is an eigenfunction of fractional Fourier transformation, this transformation has a clear advantage over other operations that are used to transform a rectangular lattice into a quincunx lattice.

Original language	English
Title of host publication	Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scala Analysis, Pittsburgh, PA
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers
Pages	169-172
ISBN (Print)	0-7803-5073-1
DOIs	https://doi.org/10.1109/TFSA.1998.721388
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

Access to Document

10.1109/TFSA.1998.721388

Cite this

@inproceedings{a1d410c85e0a4cd29e33228f155a785c,

title = "Rectangular-to-quincunx Gabor lattice conversion via fractional Fourier transformation",

abstract = "Transformations of Gabor lattices are associated with operations on the window functions that arise in Gabor theory. In particular it is shown that transformation from a rectangular to a quincunx lattice can be associated with fractional Fourier transformation. Since a Gaussian function, which plays an important role as a window function in Gabor theory, is an eigenfunction of fractional Fourier transformation, this transformation has a clear advantage over other operations that are used to transform a rectangular lattice into a quincunx lattice.",

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

year = "1998",

doi = "10.1109/TFSA.1998.721388",

language = "English",

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

pages = "169--172",

booktitle = "Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scala Analysis, Pittsburgh, PA",

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",

}

Bastiaans, MJ & Leest, van, AJ 1998, Rectangular-to-quincunx Gabor lattice conversion via fractional Fourier transformation. in Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scala Analysis, Pittsburgh, PA. Institute of Electrical and Electronics Engineers, Piscataway, NJ, pp. 169-172, 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.1998.721388

Rectangular-to-quincunx Gabor lattice conversion via fractional Fourier transformation. / Bastiaans, M.J.; Leest, van, A.J.
Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scala Analysis, Pittsburgh, PA. Piscataway, NJ: Institute of Electrical and Electronics Engineers, 1998. p. 169-172.

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

TY - GEN

T1 - Rectangular-to-quincunx Gabor lattice conversion via fractional Fourier transformation

AU - Bastiaans, M.J.

AU - Leest, van, A.J.

PY - 1998

Y1 - 1998

N2 - Transformations of Gabor lattices are associated with operations on the window functions that arise in Gabor theory. In particular it is shown that transformation from a rectangular to a quincunx lattice can be associated with fractional Fourier transformation. Since a Gaussian function, which plays an important role as a window function in Gabor theory, is an eigenfunction of fractional Fourier transformation, this transformation has a clear advantage over other operations that are used to transform a rectangular lattice into a quincunx lattice.

AB - Transformations of Gabor lattices are associated with operations on the window functions that arise in Gabor theory. In particular it is shown that transformation from a rectangular to a quincunx lattice can be associated with fractional Fourier transformation. Since a Gaussian function, which plays an important role as a window function in Gabor theory, is an eigenfunction of fractional Fourier transformation, this transformation has a clear advantage over other operations that are used to transform a rectangular lattice into a quincunx lattice.

U2 - 10.1109/TFSA.1998.721388

DO - 10.1109/TFSA.1998.721388

M3 - Conference contribution

SN - 0-7803-5073-1

SP - 169

EP - 172

BT - Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scala Analysis, Pittsburgh, PA

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway, NJ

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 -

Rectangular-to-quincunx Gabor lattice conversion via fractional Fourier transformation

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