The generalized discrete fractional Fourier transforms

Soontorn Oraintara

doi:10.1109/icassp.2002.5744012

The generalized discrete fractional Fourier transforms

Soontorn Oraintara

University of Texas at Arlington

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we develop the generalized discrete fractional Fourier transform (GDFRFT) by factorizing the generalized discrete Fourier transform (GDFT) matrix. Specifically, the eigenvalues and eigenvectors are presented and then used to define the GDFRFT. It is shown that the GDFRFT may be obtained by simple similarity transformations of the conventional DFRFT if the time and frequency shifting indexes are integers. Fast and efficient structures are presented and integer structures are also discussed.

Original language	English
Pages (from-to)	II/1185-II/1188
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2
DOIs	https://doi.org/10.1109/icassp.2002.5744012
Publication status	Published - 2002
Externally published	Yes
Event	2002 IEEE International Conference on Acoustic, Speech and Signal Processing - Orlando, FL, United States Duration: 13 May 2002 → 17 May 2002

Access to Document

10.1109/icassp.2002.5744012

Cite this

@article{fb1053d55f2f4e60a48dea80b757848b,

title = "The generalized discrete fractional Fourier transforms",

abstract = "In this paper, we develop the generalized discrete fractional Fourier transform (GDFRFT) by factorizing the generalized discrete Fourier transform (GDFT) matrix. Specifically, the eigenvalues and eigenvectors are presented and then used to define the GDFRFT. It is shown that the GDFRFT may be obtained by simple similarity transformations of the conventional DFRFT if the time and frequency shifting indexes are integers. Fast and efficient structures are presented and integer structures are also discussed.",

author = "Soontorn Oraintara",

year = "2002",

doi = "10.1109/icassp.2002.5744012",

language = "English",

volume = "2",

pages = "II/1185--II/1188",

journal = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

issn = "1520-6149",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "2002 IEEE International Conference on Acoustic, Speech and Signal Processing ; Conference date: 13-05-2002 Through 17-05-2002",

}

TY - JOUR

T1 - The generalized discrete fractional Fourier transforms

AU - Oraintara, Soontorn

PY - 2002

Y1 - 2002

N2 - In this paper, we develop the generalized discrete fractional Fourier transform (GDFRFT) by factorizing the generalized discrete Fourier transform (GDFT) matrix. Specifically, the eigenvalues and eigenvectors are presented and then used to define the GDFRFT. It is shown that the GDFRFT may be obtained by simple similarity transformations of the conventional DFRFT if the time and frequency shifting indexes are integers. Fast and efficient structures are presented and integer structures are also discussed.

AB - In this paper, we develop the generalized discrete fractional Fourier transform (GDFRFT) by factorizing the generalized discrete Fourier transform (GDFT) matrix. Specifically, the eigenvalues and eigenvectors are presented and then used to define the GDFRFT. It is shown that the GDFRFT may be obtained by simple similarity transformations of the conventional DFRFT if the time and frequency shifting indexes are integers. Fast and efficient structures are presented and integer structures are also discussed.

UR - https://www.scopus.com/pages/publications/0036298782

U2 - 10.1109/icassp.2002.5744012

DO - 10.1109/icassp.2002.5744012

M3 - Conference article

AN - SCOPUS:0036298782

SN - 1520-6149

VL - 2

SP - II/1185-II/1188

JO - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

JF - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

T2 - 2002 IEEE International Conference on Acoustic, Speech and Signal Processing

Y2 - 13 May 2002 through 17 May 2002

ER -

The generalized discrete fractional Fourier transforms

Abstract

Access to Document

Other files and links

Fingerprint

Cite this