Results 31 to 40 of about 1,101,667 (305)

The Clifford-Fourier integral kernel in even dimensional Euclidean space [PDF]

open access: yes, 2010
Recently, we devised a promising new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier–Bessel transform.
Brackx, Fred   +2 more
core   +1 more source

The cylindrical Fourier transform [PDF]

open access: yes, 2010
In this paper we devise a so-called cylindrical Fourier transform within the Clifford analysis context. The idea is the following: for a fixed vector in the image space the level surfaces of the traditional Fourier kernel are planes perpendicular to that
A. Erdélyi   +5 more
core   +2 more sources

Fast Fourier transform revisited

open access: yesLietuvos 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
doaj   +1 more source

New Algorithm for Real-Valued Fourier Transform

open access: yesTikrit 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
doaj   +1 more source

The class of Clifford-Fourier transforms [PDF]

open access: yes, 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.
core   +3 more sources

Fractional Fourier Transform: Main Properties and Inequalities

open access: yesMathematics, 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
doaj   +1 more source

On Katugampola Fourier Transform

open access: yesJournal 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
doaj   +1 more source

Short-time Fourier transform laser Doppler holography [PDF]

open access: yesJournal 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.
doaj   +1 more source

Quantum Fourier Transform Has Small Entanglement

open access: yesPRX 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
doaj   +1 more source

Fourier and Inverse Fourier Transform Model for Delayed Self-interferometry System

open access: yesIEEE 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
doaj   +1 more source

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