Results 31 to 40 of about 909,498 (188)
Uncertainty Principles for the Fourier and the Short-Time Fourier Transforms [PDF]
J. Math. Phys. 62(11): Paper No. 113501, 9 pp. (2021), 2020 The aim of this paper is to establish a few uncertainty principles for the Fourier and the short-time Fourier transforms. Also, we discuss an analogue of Donoho--Stark uncertainty principle and provide some estimates for the size of the essential support of the short-time Fourier transform.
arxiv +1 more source
EXTENSION OF SOME INTEGRAL TRANSFORM BY THE METHOD OF MULTIPLE INTEGRALS [PDF]
Journal of Mechanics of Continua and Mathematical SciencesExtension of some Integral Transform by the Method of Multiple Integrals by Lebesgue measurable and Lebesgue integrable.
https://jmcms.s3.amazonaws.com/wp-content/uploads/2024/08/24063139/jmcms-2408029-Extension-of-some-Integral-Transform-DG-DS-YJ-1.pdf +2 more
doaj +1 more source
Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures
Entropy, 2022 The discrete Fourier transform is considered as one of the most powerful tools in digital signal processing, which enable us to find the spectrum of finite-duration signals.
Hari M. Srivastava +3 more
doaj +1 more source
The Chromatic Fourier Transform
Forum of Mathematics, PiWe develop a general theory of higher semiadditive Fourier transforms that includes both the classical discrete Fourier transform for finite abelian groups at height $n=0$ , as well as a certain duality for the $E_n$ -(co)homology of $\pi
Tobias Barthel +3 more
doaj +1 more source
Solution for the simple harmonic oscillator problem via unilateral Fourier transform
Revista Brasileira de Ensino de Física, 2023 The solution of the simple harmonic oscillator problem is properly determined by means of the unilateral Fourier transform.
Antonio S. de Castro
doaj +1 more source
Steerable Discrete Fourier Transform
, 2017 Directional transforms have recently raised a lot of interest thanks to their numerous applications in signal compression and analysis. In this letter, we introduce a generalization of the discrete Fourier transform, called steerable DFT (SDFT).
Fracastoro, Giulia, Magli, Enrico
core +1 more source
Phase-controlled Fourier-transform spectroscopy
Nature Communications, 2018 Fourier transform spectrometers are generally limited to slow scanning rates at high resolution. Here the authors demonstrate highly efficient Fourier transform spectroscopy using a dynamic phase-control technique that enables fast acquisition without ...
Kazuki Hashimoto, Takuro Ideguchi
doaj +1 more source
Circular Convolution and Product Theorem for Affine Discrete Fractional Fourier Transform [PDF]
arXiv, 2020 The Fractional Fourier Transform is a ubiquitous signal processing tool in basic and applied sciences. The Fractional Fourier Transform generalizes every property and application of the Fourier Transform. Despite the practical importance of the discrete fractional Fourier transform, its applications in digital communications have been elusive.
arxiv
Fast complexified quaternion Fourier transform
, 2006 A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the signal/image and the transform kernel are complex quaternion-valued.
Bihan Stephen +3 more
core +4 more sources
Multi‐institutional study on image quality for a novel CBCT solution on O‐ring linac
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Introduction This work presents a multi‐institutional study on image quality provided by a novel cone beam computed tomography (CBCT). The main goal is to investigate the consistency of imaging performance across multiple institutions.
Luis Agulles‐Pedrós +11 more
wiley +1 more source