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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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Engineering Proceedings, 2023 For front-end wireless applications in small battery-powered devices, discrete Fourier transform (DFT) is a critical processing method for discrete time signals. Advanced radix structures are created to reduce the impact of transistor malfunction.
Ernest Ravindran Ramaswami Sachidanandan +2 more
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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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Journal of Fourier Analysis and Applications, 2023 AbstractThe paper deals with the problem under which conditions for the parameters $$s_1,s_2\in \mathbb R$$ s 1 , s 2 ∈
Dorothee D. Haroske +2 more
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Fast Fourier transform revisited
Lietuvos Matematikos Rinkinys, 2015 Using FFT (fast Fourier transform), it is assumed, that some signal samples in a respective period N are updated by a sensor in real time. It is urgent for every new signal sample to have new frequency samples (f.s.).
Rimantas Pupeikis
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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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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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Tempered distributions and Fourier transform on the Heisenberg group [PDF]
, 2017 The final goal of the present work is to extend the Fourier transform on the Heisenberg group $\H^d,$ to tempered distributions. As in the Euclidean setting, the strategy is to first show that the Fourier transform is an isomorphism on the Schwartz space,
Bahouri, Hajer +2 more
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Large-Scale Discrete Fourier Transform on TPUs
IEEE Access, 2021 In this work, we present two parallel algorithms for the large-scale discrete Fourier transform (DFT) on Tensor Processing Unit (TPU) clusters. The two parallel algorithms are associated with two DFT formulations: one formulation, denoted as KDFT, is ...
Tianjian Lu +4 more
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New Algorithm for Real-Valued Fourier Transform
Tikrit Journal of Engineering Sciences, 2023 This paper presents a direct algorithm for fast real discrete Fourier transform (RDFT) computing, using the discrete Fourier transform (DFT) conjugate symmetric property to reduce redundancies.
Sukaina K. Salih, Mounir T. Hamood
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