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Fractional Fourier transform

Known as: FRFT, Fourier 
In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a family of linear transformations generalizing the… Expand
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Related topics

Related topics

28 relations
ChirpChirp Z-transformChirplet transformCone-shape distribution function
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Broader (1)

Time–frequency analysis

Papers overview

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Review
2019
Review
2019
A review of definitions of fractional derivatives and other operators
Abstract Given the increasing number of proposals and definitions of operators in the scope of fractional calculus, it is… Expand
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Highly Cited
2005
Highly Cited
2005
Research progress of the fractional Fourier transform in signal processing
The fractional Fourier transform is a generalization of the classical Fourier transform, which is introduced from the mathematic… Expand
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Highly Cited
2002
Highly Cited
2002
Digital Computation of Fractional Fourier Transform
Based on the concept of the fractional fourier transform, its digital computation is given through computer simulation. In terms… Expand
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Highly Cited
2000
Highly Cited
2000
The discrete fractional Fourier transform
We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier… Expand
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Highly Cited
1996
Highly Cited
1996
Digital computation of the fractional Fourier transform
An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with time-bandwidth… Expand
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Highly Cited
1996
Highly Cited
1996
On bandlimited signals with fractional Fourier transform
  • Xiang-Gen Xia
  • IEEE Signal Processing Letters
  • 1996
    • Corpus ID: 15992072
We study bandlimited signals with fractional Fourier transform (FRFT). We show that if a nonzero signal f is bandlimited with… Expand
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Highly Cited
1994
Highly Cited
1994
The fractional Fourier transform and time-frequency representations
The functional Fourier transform (FRFT), which is a generalization of the classical Fourier transform, was introduced a number of… Expand
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Highly Cited
1994
Highly Cited
1994
Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms
A concise introduction to the concept of fractional Fourier transforms is followed by a discussion of their relation to chirp and… Expand
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Highly Cited
1993
Highly Cited
1993
Fractional Fourier transforms and their optical implementation. II
The linear transform kernel for fractional Fourier transforms is derived. The spatial resolution and the space–bandwidth product… Expand
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Highly Cited
1991
Highly Cited
1991
The Fractional Fourier Transform and Applications
This paper describes the “fractional Fourier transform,” which admits computation by an algorithm that has complexity… Expand
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