FAQ

Fractional Fourier transform

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

Topic mentions per year

Topic mentions per year

1991-2017
05010019912017

Related topics

Related topics

27 relations
ChirpChirp Z-transformChirplet transformConvex set
(More)

Related mentions per year

Related mentions per year

1938-2018
19401960198020002020
Fractional Fourier transform
Wavelet
Time series
Wavelet transform
Pattern recognition
Convex set

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
Fractional Fourier Transform
Abstract The integral transform method based on joint application of a fractional generalization of the Fourier transform and the… (More)
Is this relevant?
Review
2001
Review
2001
The fractional fourier transform
A brief introduction to the fractional Fourier transform and its properties is given. Its relation to phase-space representations… (More)
  • figure 1
  • figure 2
  • figure 3
Is this relevant?
2000
2000
On fractional Fourier transform moments
Based on the relation between the ambiguity function represented in a quasipolar coordinate system and the fractional power… (More)
Is this relevant?
Highly Cited
1999
Highly Cited
1999
The discrete fractional Fourier transform
We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier… (More)
  • table I
  • table II
  • table IV
  • figure 2
Is this relevant?
Highly Cited
1999
Highly Cited
1999
Discrete fractional Fourier transform based on orthogonal projections
The continuous fractional Fourier transform (FRFT) performs a spectrum rotation of signal in the time–frequency plane, and it… (More)
  • figure 1
  • figure 2
  • table I
  • table II
  • figure 3
Is this relevant?
1999
1999
Adaptive harmonic fractional Fourier transform
A novel adaptive harmonic fractional Fourier transform is proposed for analysis of voiced speech signals. It provides a higher… (More)
  • figure 1
  • figure 3
  • figure 2
  • figure 4
  • figure 5
Is this relevant?
1998
1998
Two dimensional discrete fractional Fourier transform
Fractional Fourier transform (FRFT) performs a rotation of signals in the time—frequency plane, and it has many theories and… (More)
  • table 1
  • figure 1
  • table 2
  • figure 2
  • figure 3
Is this relevant?
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… (More)
  • figure 1
  • figure 2
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
1994
Highly Cited
1994
The fractional Fourier transform and time-frequency representations
The fractional Fourier transform (FRFT), which is a generalization of the classical Fourier transform, was introduced a number of… (More)
  • figure I
  • figure 2
  • figure 3
  • figure 4
Is this relevant?
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… (More)
Is this relevant?