Results 11 to 20 of about 13,447 (294)
The discrete fractional Fourier transform [PDF]
IEEE Transactions on Signal Processing, 1999 Summary: We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier transform (DFT) in the same sense that the continuous fractional Fourier transform generalizes the continuous ordinary Fourier transform.
Cagatay Candan +2 more
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On fractional Fourier transform moments [PDF]
IEEE Signal Processing Letters, 2000 Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed.
Tatiana Alieva, Martin J. Bastiaans
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The Fractional Fourier Transform and Harmonic Oscillation [PDF]
Nonlinear Dynamics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kutay M.A., Ozaktas H.M.
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Simplified fractional Fourier transforms [PDF]
Journal of the Optical Society of America A, 2000 The fractional Fourier transform (FRFT) has been used for many years, and it is useful in many applications. Most applications of the FRFT are based on the design of fractional filters (such as removal of chirp noise and the fractional Hilbert transform) or on fractional correlation (such as scaled space-variant pattern recognition).
Pei, Soo-Chang, Ding, Jian-Jiun
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Fractional Hartley Transform and its Inverse
مجلة بغداد للعلوم, 2023 The Hartley transform generalizes to the fractional Hartley transform (FRHT) which gives various uses in different fields of image encryption. Unfortunately, the available literature of fractional Hartley transform is unable to provide its inversion ...
Vasant Gaikwad
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The Fractional Clifford-Fourier Transform [PDF]
Complex Analysis and Operator Theory, 2012 17 pages, accepted for publication in Complex Anal.
De Bie, Hendrik, De Schepper, Nele
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The generalized fractional fourier transform [PDF]
2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2012 A new transform, called the generalized fractional Fourier transform (gFrFT), is proposed. Originally, the eigenfunctions of the fractional Fourier transform (FrFT) are known as the Hermite Gaussian functions (HGFs). Besides, in optics, the HGFs are generalized to be the generalized Hermite Gaussian functions (gHGFs) and their adjoint functions (AgHGFs)
Soo-Chang Pei +2 more
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Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +5 more
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Quantum Weighted Fractional-Order Transform
Fractal and Fractional, 2023 Quantum Fourier transform (QFT) transformation plays a very important role in the design of many quantum algorithms. Fractional Fourier transform (FRFT), as an extension of the Fourier transform, is particularly important due to the design of its quantum
Tieyu Zhao, Yingying Chi
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Fractal and Fractional, 2022 In this paper, we establish two approximation theorems for the multidimensional fractional Fourier transform via appropriate convolutions. As applications, we study the boundary and initial problems of the Laplace and heat equations with chirp functions.
Yinuo Yang +3 more
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