Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform

被引：120

作者：

Pei, SC ^{[1
]}

Yeh, MH

Luo, TL

机构：

[1] Natl Taiwan Univ, Dept Elect Engn, Taipei 10764, Taiwan

[2] Tamsui Oxford Univ Coll, Dept Comp Informat Sci, Taipei, Taiwan

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1999年 / 47卷 / 10期

关键词：

discrete-time fractional Fourier transform; fractional Fourier series;

D O I：

10.1109/78.790671

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 [电气工程]; 0809 [电子科学与技术];

摘要：

Conventional Fourier analysis has many schemes for different types of signals. They are Fourier transform (FT), Fourier series (FS), discrete-time Fourier transform (DTFT), and discrete Fourier transform (DFT), The goal of this correspondence is to develop two absent schemes of fractional Fourier analysis methods. The proposed methods are fractional Fourier series (FRFS) and discrete-time fractional Fourier transform (DTFRFT), and they are the generalizations of Fourier series (FS) and discrete-time Fourier transform (DTFT), respectively.

引用

页码：2883 / 2888

页数：6

共 12 条

[1]

Abramowitz M., 1965, HDB MATH FUNCTIONS F, DOI DOI 10.1119/1.15378

[2]

THE FRACTIONAL FOURIER-TRANSFORM AND TIME-FREQUENCY REPRESENTATIONS [J].

ALMEIDA, LB .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (11) :3084-3091

[3]

CHIRP FILTERING IN THE FRACTIONAL FOURIER DOMAIN [J].

DORSCH, RG ;

LOHMANN, AW ;

BITRAN, Y ;

MENDLOVIC, D ;

OZAKTAS, HM .

APPLIED OPTICS, 1994, 33 (32) :7599-7602

[4]

KUTAY MA, 1995, P IEEE INT C AC SPEE, P937

[5]

IMAGE ROTATION, WIGNER ROTATION, AND THE FRACTIONAL FOURIER-TRANSFORM [J].

LOHMANN, AW .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (10) :2181-2186

[6]

Oppenheim A., 1983, SIGNALS SYSTEMS

[7]

Oppenheim A. V., 1989, DISCRETE TIME SIGNAL

[8]

FRACTIONAL FOURIER DOMAINS [J].

OZAKTAS, HM ;

AYTUR, O .

SIGNAL PROCESSING, 1995, 46 (01) :119-124

[9]

CONVOLUTION, FILTERING, AND MULTIPLEXING IN FRACTIONAL FOURIER DOMAINS AND THEIR RELATION TO CHIRP AND WAVELET TRANSFORMS [J].

OZAKTAS, HM ;

BARSHAN, B ;

MENDLOVIC, D ;

ONURAL, L .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (02) :547-559

[10]

Digital computation of the fractional Fourier transform [J].

Ozaktas, HM ;

Ankan, O ;

Kutay, MA ;

Bozdagi, G .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (09) :2141-2150

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