Tunable fractional Fourier transform implementation of electronic wave functions in atomically thin materials [PDF]
Beilstein Journal of Nanotechnology, 2018 A tunable fractional Fourier transform of the quantum wave function of electrons satisfying either the Schrödinger or the Dirac equation can be implemented in an atomically thin material by a parabolic potential distribution applied on a direction ...
Daniela Dragoman
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The minimality of mean square error in chirp approximation using fractional fourier series and fractional fourier transform [PDF]
Scientific Reports, 2022 Chirps are familiar in nature, have a built-in resistance to noise and interference, and are connected to a wide range of highly oscillatory processes.
Omar T. Bafakeeh +9 more
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The solutions of time and space conformable fractional heat equations with conformable Fourier transform [PDF]
Acta Universitatis Sapientiae: Mathematica, 2015 In this paper our aim is to find the solutions of time and space fractional heat differential equations by using new definition of fractional derivative called conformable fractional derivative.
Çenesiz Yücel, Kurt Ali
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Discrete fractional Fourier transform [PDF]
1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96, 2002 The continuous fractional Fourier transform (FRFT) represents a rotation of signal in time-frequency plane, and it has become an important tool for signal analysis. A discrete version of fractional Fourier transform has been developed but its results do not match those of continuous case.
Soo‐Chang Pei, Min-Hung Yeh
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Study on the Mainardi beam through the fractional Fourier transforms system [PDF]
Компьютерная оптика, 2018 In this paper, we introduced the Mainardi beam and indicated its attributes under the Fractional Fourier transform for power variations of Fractional Fourier transform.
Forouzan Habibi +2 more
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Implementation of quantum and classical discrete fractional Fourier transforms [PDF]
Nature Communications, 2016 Fourier analysis has become a standard tool in contemporary science. Here, Weimann et al. report classical and quantum optical realizations of the discrete fractional Fourier transform, a generalization of the Fourier transform, with potential ...
Steffen Weimann +11 more
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Uncertainty principles for coupled fractional Wigner–Ville distribution [PDF]
Royal Society Open ScienceThe coupled fractional Wigner–Ville distribution is a more general version of the fractional Wigner–Ville distribution. Main properties including boundedness, Moyal’s formula and inversion formula are studied in detail for the transformation ...
Andi Tenri Ajeng Nur +3 more
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Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms [PDF]
arXiv, 2019 We consider and discuss some basic properties of the bicomplex analog of the classical Bargmann space. The explicit expression of the integral operator connecting the complex and bicomplex Bargmann spaces is also given. The corresponding bicomplex Segal--Bargmann transform is introduced and studied as well. Its explicit expression as well as the one of
Allal Ghanmi, Khalil Zine
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Fractional Fourier transforms of hypercomplex signals [PDF]
Signal, Image and Video Processing, 2012 An overview is given to a new approach for obtaining generalized Fourier transforms in the context of hypercomplex analysis (or Clifford analysis). These transforms are applicable to higher-dimensional signals with several components and are different from the classical Fourier transform in that they mix the components of the signal.
Hendrik De Bie, Nele De Schepper
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A novel description and mathematical analysis of the Fractional Discrete Fourier Transform [PDF]
arXiv, 2019 I discuss the nature of a Fractional Discrete Fourier Transform (FrDFT) described algorithmically by a combination of chirp transforms and ordinary DFTs. The transform is shown to be consistent with a continuous two-dimensional rotation between the time and frequency domains.
E. Zayas
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