Results 21 to 30 of about 909,498 (188)
The class of Clifford-Fourier transforms [PDF]
, 2011 Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classical ...
De Bie, H., De Schepper, N., Sommen, F.
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On Katugampola Fourier Transform
Journal of Mathematics, 2019 The aim of this article is to introduce a new definition for the Fourier transform. This new definition will be considered as one of the generalizations of the usual (classical) Fourier transform.
Tariq O. Salim +2 more
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Short-time Fourier transform laser Doppler holography [PDF]
Journal of the European Optical Society-Rapid Publications, 2013 We report a demonstration of laser Doppler holography at a sustained acquisition rate of 250 Hz on a 1 Megapixel complementary metal-oxide-semiconductor (CMOS) sensor array and image display at 10 Hz frame rate.
Samson B., Atlan M.
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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
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Quantum Fourier Transform Has Small Entanglement
PRX Quantum, 2023 The quantum Fourier transform (QFT) is a key component of many important quantum algorithms, most famously being the essential ingredient in Shor’s algorithm for factoring products of primes.
Jielun Chen (陈捷伦) +2 more
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Fourier and Inverse Fourier Transform Model for Delayed Self-interferometry System
IEEE Photonics Journal, 2020 Understanding the effects of laser phase and frequency noise on laser interferometry is significant for evaluating the system performance. To precisely study the performance limit caused by laser frequency noise, here we propose and demonstrate a ...
Ling Zhang +8 more
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On the Clifford-Fourier transform [PDF]
, 2010 For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i \pi}{2} \Gamma_{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier transform ...
Bie, Hendrik De, Yuan Xu
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Fractional Fourier Transform: Main Properties and Inequalities
Mathematics, 2023 The fractional Fourier transform is a natural generalization of the Fourier transform. In this work, we recall the definition of the fractional Fourier transform and its relation to the conventional Fourier transform.
Mawardi Bahri +1 more
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The fractional Clifford-Fourier transform [PDF]
, 2012 In this paper, a fractional version of the Clifford-Fourier transform is introduced, depending on two numerical parameters. A series expansion for the kernel of the resulting integral transform is derived.
De Bie, Hendrik, De Schepper, Nele
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Some Essential Relations for the Quaternion Quadratic-Phase Fourier Transform
Mathematics, 2023 Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a generalized version of the quaternion Fourier transform.
Mawardi Bahri +1 more
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