In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a family of linear transformations generalizing the… (More)

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2012

2012

Abstract The integral transform method based on joint application of a fractional generalization of the Fourier transform and the… (More)

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Review

2001

Review

2001

- Haldun Memduh Ozaktas, M. Alper Kutay
- 2001 European Control Conference (ECC)
- 2001

A brief introduction to the fractional Fourier transform and its properties is given. Its relation to phase-space representations… (More)

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2000

2000

- Tatiana Alieva, M. J. Bastiaans
- IEEE Signal Processing Letters
- 2000

Based on the relation between the ambiguity function represented in a quasipolar coordinate system and the fractional power… (More)

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Highly Cited

1999

Highly Cited

1999

- Cagatay Candan, M. Alper Kutay, Haldun M. Özaktas
- ICASSP
- 1999

We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier… (More)

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Highly Cited

1999

Highly Cited

1999

- Soo-Chang Pei, Min-Hung Yeh, Chien-Cheng Tseng
- IEEE Trans. Signal Processing
- 1999

The continuous fractional Fourier transform (FRFT) performs a spectrum rotation of signal in the time–frequency plane, and it… (More)

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1999

1999

- Feng Zhang, Yan Qiu Chen, Guoan Bi
- IEEE Signal Processing Letters
- 1999

A novel adaptive harmonic fractional Fourier transform is proposed for analysis of voiced speech signals. It provides a higher… (More)

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1998

1998

- Soo-Chang Pei, Min-Hung Yeh
- Signal Processing
- 1998

Fractional Fourier transform (FRFT) performs a rotation of signals in the time—frequency plane, and it has many theories and… (More)

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Highly Cited

1996

Highly Cited

1996

- Haldun M. Özaktas, Orhan Arikan, M. Alper Kutay, Gozde Bozdagi Akar
- IEEE Trans. Signal Processing
- 1996

An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with time-bandwidth… (More)

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Highly Cited

1994

Highly Cited

1994

- Luís B. Almeida
- IEEE Trans. Signal Processing
- 1994

The fractional Fourier transform (FRFT), which is a generalization of the classical Fourier transform, was introduced a number of… (More)

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Highly Cited

1991

Highly Cited

1991

- David H. Bailey, Paul N. Swarztrauber
- SIAM Review
- 1991

This paper describes the \fractional Fourier transform", which admits computation by an algorithm that has complexity… (More)

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