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One-dimensional Quaternion Fourier Transform and Some Applications
The Fourier transform is a very useful tool in many areas. This transform has been defined in many contexts, as complex numbers, quaternions, and Clifford algebras.
Eusebio Ariza García +2 more
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A fingerprint image with non‐uniform ridge frequencies can be considered as a two‐dimensional dynamic signal. A non‐uniform stress on the sensing area applied during fingerprint acquisition may result in a non‐linear distortion that disturbs the local ...
Mubeen Ghafoor +2 more
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The vibration generated at the contact point between a tool blade and a machined surface during cutting significantly influences the generation mechanism of regenerated chatter vibration.
Nobutoshi OZAKI +4 more
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Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)
The fractional Fourier transform is critical in signal processing and supports many applications. Signal processing is one notable application. Implementing the fractional Fourier transform requires discrete versions.
Asma Elshamy +2 more
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In modern systems of remote sensing two-dimensional fast Fourier transform (FFT) has been widely used for digital processing of satellite images and subsequent image filtering.
Noskov Mikhail +4 more
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Objective Center-Finding Algorithm for Tropical Cyclones in Numerical Models
Precise center-detection of tropical cyclones (TCs) is critical for dynamic analysis in high resolution model data. The existence of both smaller scale perturbations and larger scale circulations could reduce the accuracy of center positioning.
Chengwu Zhao +3 more
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In this paper, a new two-dimensional quaternion fractional Fourier transform is developed. The properties such as linearity, shifting and derivatives of the quaternion-valued function are studied.
Khinal Parmar, V. R. Lakshmi Gorty
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Array-Beamspace Mapping for Planar Two-Dimensional Beam-Forming
As sixth-generation (6G) communication systems manifest at carrier frequencies well into the millimeter-wave (mmW) spectrum, the ability of conventional digital beamforming techniques to handle the beam-bandwidth product is increasingly stressed ...
William L. Beardell +3 more
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Interference suppression in digital holographic images
This paper presents a digital filtering software module for noise suppression in reconstructed holographic images and in original digital holograms.
N.N. Yudin +7 more
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Three-dimensional sculpting of laser beams
We demonstrate three-dimensional sculpting of laser beams using two-dimensional holograms. Without relying on initial guesses of the analytic properties or the Fourier transform of the desired light field, we show that an improved numerical phase ...
Tobias Kree, Michael Köhl
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