Results 21 to 30 of about 101,618 (327)

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

Hyers-Ulam-Mittag-Leffler stability of fractional differential equations with two caputo derivative using fractional fourier transform

AIMS Mathematics, 2022
In this paper, we discuss standard approaches to the Hyers-Ulam Mittag Leffler problem of fractional derivatives and nonlinear fractional integrals (simply called nonlinear fractional differential equation), namely two Caputo fractional derivatives using
Anumanthappa Ganesh, Swaminathan Deepa, Dumitru Baleanu, Shyam Sundar Santra, Osama Moaaz , Vediyappan Govindan, Rifaqat Ali   +6 more
doaj   +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

Nyquist Zone Index and Chirp Rate Estimation of LFM Signal Intercepted by Nyquist Folding Receiver Based on Random Sample Consensus and Fractional Fourier Transform. [PDF]

Sensors (Basel), 2019
Liu X, Li T, Fan X, Chen Z.
europepmc   +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

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

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

, 2003
Cataloged from PDF version of article.We present muchbriefer and more direct and transparent derivations of some sampling and series expansion relations for fractional Fourier and other transforms.
Candan, C., Ozaktas, H. M.
core   +1 more source

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
doaj   +1 more source

Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators [PDF]

, 1994
Cataloged from PDF version of article.The complex amplitude distributions on two spherical reference surfaces of given curvature and spacing are simply related by a fractional Fourier transform.
Mendlovic, D., Ozaktas, H. M.
core   +1 more source

Approximation Theorems Associated with Multidimensional Fractional Fourier Transform and Applications in Laplace and Heat Equations

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, Qingyan Wu, Seong Tae Jhang, Qianqian Kang   +3 more
doaj   +1 more source