Results 311 to 320 of about 521,797 (371)

Fast Detection Method for Low-Observable Maneuvering Target via Robust Sparse Fractional Fourier Transform

IEEE Geoscience and Remote Sensing Letters, 2020
In this letter, a novel fast detection algorithm, known as robust sparse fractional Fourier transform (RSFRFT), is proposed for low-observable maneuvering target detection in a clutter background.
Xiaohan Yu, Xiaolong Chen, Yong Huang, J. Guan   +3 more
semanticscholar   +1 more source

Fractionalization of Fourier transform

Optics Communications, 1995
The conventional definition of fractional-order Fourier transform is demonstrate to be not unique. The same rules can be applied to create a new type of fractional-order Fourier transform which results in a smooth transition of a function when transformed between the real and Fourier spaces.
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Fractional Fourier–Jacobi type transform

ANNALI DELL'UNIVERSITA' DI FERRARA, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Adaptive harmonic fractional Fourier transform

IEEE Signal Processing Letters, 1999
A novel adaptive harmonic fractional Fourier transform is proposed for analysis of voiced speech signals. It provides a higher concentration than STFT and avoids the cross interference components produced by the Wigner-Ville distribution and other bilinear representation. The proposed method rotates the base tone and harmonics in time-frequency domain.
null Fang Zhang, null Yan Qiu Chen, null Guoan Bi   +2 more
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Fractional Fourier transform

Proceedings of the International Conference on Advances in Computing, Communications and Informatics, 2012
The Fractional Fourier transform (FRFT), which provides generalization of conventional Fourier Transform was introduced many years ago in mathematics literature by Namias. In this paper, definition, properties of fractional Fourier transform and its relationship with other transforms is discussed.
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Multidimensional fractional Fourier transform and generalized fractional convolution

Integral transforms and special functions, 2020
In this paper, we prove inversion theorems and Parseval identity for the multidimensional fractional Fourier transform. Analogous to the existing fractional convolutions on functions of single variable, we also introduce a generalized fractional ...
R. Kamalakkannan, R. Roopkumar
semanticscholar   +1 more source

Fractional Fourier Transforms

2003
In the next few lectures we provide a brief overview of Fourier analysis and how it has been used to model lin- ear physical phenomena, particularly the reversible propagation of scalar waves in homogeneous media and the irreversible diffusion of one molecular species within another.
Bruce J. West, Mauro Bologna, Paolo Grigolini   +2 more
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A Comprehensive Survey on Fractional Fourier Transform

Fundamenta Informaticae, 2017
The Fractional Fourier transform (FRFT) is a relatively novel linear transforms that is a generalization of conventional Fourier transform (FT). FRFT can transform a particular signal to a unified time-frequency domain. In this survey, we try to present a comprehensive investigation of FRFT.
Zhang, Yudong, Wang, Shuihua, Yang, Jian-Fei, Zhang, Zheng, Phillips, Preetha, Sun, Ping, Yan, Jie   +6 more
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Coincidence subwavelength fractional Fourier transform

Journal of the Optical Society of America A, 2006
The coincidence subwavelength fractional Fourier transforms (FRTs) with entangled photon pairs and incoherent light radiation are introduced as an extension of the recently introduced coincidence FRT. Optical systems for implementing the coincidence subwavelength FRTs are designed.
Yangjian, Cai, Qiang, Lin, Shi-Yao, Zhu
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Fractional Fourier transforms in two dimensions

Journal of the Optical Society of America A, 2000
We analyze the fractionalization of the Fourier transform (FT), starting from the minimal premise that repeated application of the fractional Fourier transform (FrFT) a sufficient number of times should give back the FT. There is a qualitative increase in the richness of the solution manifold, from U(1) (the circle S1) in the one-dimensional case to U ...
R, Simon, K B, Wolf
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