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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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Papers overview

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Review
2019
Review
2019
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
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
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
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
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
  • 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 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
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
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
This paper describes the “fractional Fourier transform,” which admits computation by an algorithm that has complexity… Expand
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