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Low Complexity Keystone Transform and Radon Fourier Transform Utilizing Chirp-Z Transform
Keystone Transform (KT) and Radon Fourier Transform (RFT) are two popular methods proposed to overcome range migration in radars. A major concern in these methods is the computational complexity for real time operations.
Onur Culha, Yalcin Tanik
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Fractional Hartley Transform and its Inverse
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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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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We consider the problem of computing the Fourier transform of high-dimensional vectors, distributedly over a cluster of machines consisting of a master node and multiple worker nodes, where the worker nodes can only store and process a fraction of the inputs.
Qian Yu 0001 +2 more
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Random fractional Fourier transform : stochastic perturbations along the axis of propagation [PDF]
The fractional Fourier transform (FRT) is known to be optically implementable with use of a medium with a perfect radial quadratic-index profile. Using the quantum-mechanical operator formalism, we examine the effects on the FRT action of such a medium
Abe, Sumiyoshi, Sheridan, John T.
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Fractional Fourier Transform [PDF]
Chapter ...
Ozaktas, Haldun M. +2 more
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Circuit of Quantum Fractional Fourier Transform
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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The Graphon Fourier Transform [PDF]
In many network problems, graphs may change by the addition of nodes, or the same problem may need to be solved in multiple similar graphs. This generates inefficiency, as analyses and systems that are not transferable have to be redesigned. To address this, we consider graphons, which are both limit objects of convergent graph sequences and random ...
Luana Ruiz +2 more
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Some Essential Relations for the Quaternion Quadratic-Phase Fourier Transform
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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