Results 31 to 40 of about 1,127,435 (287)

On the Clifford-Fourier transform [PDF]

open access: yes, 2010
For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i \pi}{2} \Gamma_{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier transform ...
Bie, Hendrik De, Yuan Xu
core   +3 more sources

The fractional Clifford-Fourier transform [PDF]

open access: yes, 2012
In this paper, a fractional version of the Clifford-Fourier transform is introduced, depending on two numerical parameters. A series expansion for the kernel of the resulting integral transform is derived.
De Bie, Hendrik, De Schepper, Nele
core   +3 more sources

Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures

open access: yesEntropy, 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

Compressive Fourier Transform Spectroscopy

open access: yes, 2010
We describe an approach based on compressive-sampling which allows for a considerable reduction in the acquisition time in Fourier-transform spectroscopy.
Katz, Ori   +2 more
core   +1 more source

The Fourier Transform on Quantum Euclidean Space [PDF]

open access: yes, 2010
We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Coulembier, Kevin
core   +7 more sources

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

Some properties of the spinor fourier transform [PDF]

open access: yes, 2015
In this paper, the theory of the spinor Fourier transform introduced in [Batard T, Berthier M, Saint-Jean C, Clifford-Fourier Transform for Color Image Processing, Geometric Algebra Computing for Engineering and Computer Science (E.
Batard, Thomas, Raeymaekers, Tim
core   +1 more source

The Chromatic Fourier Transform

open access: yesForum of Mathematics, Pi
We 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

A Comparative study of Arabic handwritten characters invariant feature [PDF]

open access: yes, 2011
This paper is practically interested in the unchangeable feature of Arabic handwritten character. It presents results of comparative study achieved on certain features extraction techniques of handwritten character, based on Hough transform, Fourier ...
Hassen, Hamdi, khemakhem, Maher
core   +4 more sources

A Study on the Number of Neutrosophic Crisp Topological Spaces in a Finite Set [PDF]

open access: yesNeutrosophic Sets and Systems
Fourier transform is one of the oldest and well-known technique in the field of mathematics and engineering mathematical works. As the concept of uncertainty has been introduced in the mathematics, most of the works gravitate towards the use Neutrosophic
Jili Basumatary, Bhimraj Basumatary
doaj   +1 more source

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