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Interference Suppression Algorithm Based on Short Time Fractional Fourier Transform. [PDF]

Sensors (Basel)
Guo X, Su J, Zhu N.
europepmc   +1 more source

Octahedral tilting and B-site off-centering in halide perovskites are not coupled. [PDF]

Nat Commun
Hylton-Farrington CM, Remsing RC.
europepmc   +1 more source

The Phillips Method of Fractional Integration Parameter Estimation and Aggregation of PLN Exchange Rates [PDF]

Ewa M. Syczewska
core  

An Automatic Modulation Recognition Method Based on the Multimodal Kernel Harmonic Feature Fusion Network. [PDF]

Sensors (Basel)
Zhang Q, Ji H, Li L.
europepmc   +1 more source

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Fractional discrete Fourier transforms

Optics Letters, 1996
Direct calculation of fractional Fourier transforms from the expressions derived for their optical implementation is laborious. An extension of the discrete Fourier transform would have only O(N(2)) computational complexity. We define such a system, offer a general way to compute the fractional discrete Fourier transform matrix, and numerically ...
Z T, Deng, H J, Caulfield, M, Schamschula   +2 more
exaly   +3 more sources

A class of fractional integral transforms: a generalization of the fractional Fourier transform

IEEE Transactions on Signal Processing, 2002
The paper presents a systematic and unified approach to fractional integral transforms. We introduce a new class of fractional integral transforms that includes the fractional Fourier and Hankel transforms and the fractional integration and differentiation operators as special cases. These fractional transforms may also be viewed as angular transforms,
exaly   +2 more sources

Fractional Fourier transforms and their optical implementation II [PDF]

Journal of the Optical Society of America A: Optics and Image Science, and Vision, 1993
The derivation of a linear transform kernel for fractional Fourier transforms is presented. Discussed in direct relation to fractal Fourier transforms are spatial resolution and the space-bandwidth product for propagation in graded-index media.

exaly   +3 more sources

Fractional Fourier Transform Meets Transformer Encoder

IEEE Signal Processing Letters, 2022
Utilizing signal processing tools in deep learning models has been drawing increasing attention. Fourier transform (FT), one of the most popular signal processing tools, is employed in many deep learning models. Transformer-based sequential input processing models have also started to make use of FT.
Furkan Sahinuç, Aykut Koç
openaire   +3 more sources

Sampling and series expansion theorems for fractional Fourier and other transforms [PDF]

Signal Processing, 2003
The sampling and series expansion theorems for fractional Fourier transforms were analyzed. In addition to the fractional Fourier transform, the method can also be applied to the Fresnel, Hartley and scale transforms.
Cagatay Candan, Haldun M Ozaktas
exaly   +7 more sources