Results 21 to 30 of about 521,797 (371)

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.
Candan, C., Kutay, M. A., Ozaktas, H. M.
openaire   +6 more sources

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
doaj   +1 more source

Circuit of Quantum Fractional Fourier Transform

Fractal and Fractional, 2023
In this paper, we first use the quantum Fourier transform (QFT) and quantum phase estimation (QPE) to realize the quantum fractional Fourier transform (QFrFT).
Tieyu Zhao, Yingying Chi
doaj   +1 more source

Fractional Fourier Transform-Based Tensor RX for Hyperspectral Anomaly Detection

Remote Sensing, 2022
Anomaly targets in a hyperspectral image (HSI) are often multi-pixel, rather than single-pixel, objects. Therefore, algorithms using a test point vector may ignore the spatial characteristics of the test point.
Lili Zhang, Jiachen Ma, Baozhi Cheng, Fang Lin   +3 more
semanticscholar   +1 more source

Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative

Journal of Function Spaces, 2022
In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform.
A. Selvam, S. Sabarinathan, S. Noeiaghdam, V. Govindan   +3 more
semanticscholar   +1 more source

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
openaire   +2 more sources

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.
openaire   +5 more sources

Self Fourier functions and fractional Fourier transforms [PDF]

Optics Communications, 1993
The Fourier transform is perhaps the most important analytical tool in wave optics. Hence Fourier-related concepts are likely to have an important on optics. We will likely recall two novel concepts and then show how they are interrelated. A self-Fourier function (SFF) [1,2] is a function whose Fourier transform is identical to itself.
Mendlovic, D., Ozaktas, H., M., Lohmann, A.W.   +2 more
openaire   +3 more sources

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, Elgamel, Sherif A.E.H., Soraghan, J.J.   +2 more
core   +1 more source

Clifford algebras, Fourier transforms and quantum mechanics [PDF]

, 2012
In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
De Bie, Hendrik
core   +2 more sources