articleTop 1% cited
Digital computation of the fractional Fourier transform
IEEE Transactions on Signal Processing · 1996 · Vol. 44(9) · pp. 2141–2150
Haldun M. Özaktaş✉(Bilkent University)Orhan Arıkan(Bilkent University)M. Alper Kutay(Bilkent University)G. Bozdagt(Bilkent University)
Abstract
An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with time-bandwidth product N, the presented algorithm computes the fractional transform in O(NlogN) time. A definition for the discrete fractional Fourier transform that emerges from our analysis is also discussed.
Mathematical Analysis and Transform MethodsImage and Signal Denoising MethodsDigital Filter Design and ImplementationFractional Fourier transformDiscrete Fourier transform (general)ComputationNon-uniform discrete Fourier transformHartley transformFourier transformDiscrete-time Fourier transformAlgorithmMathematicsDiscrete Hartley transform
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References
Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
Physical review. A, General physics · 1989 · 1,295 citations
Fourier transforms of fractional order and their optical interpretation
Optics Communications · 1993 · 277 citations
The fractional Fourier transform and time-frequency representations
IEEE Transactions on Signal Processing · 1994 · 1,885 citations
Time-frequency distributions-a review
Proceedings of the IEEE · 1989 · 3,539 citations
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