Results 1 to 10 of about 10,005 (308)

Generalizing the discrete fourier transform

open access: yesDiscrete Mathematics, 1985
The author defines the generalized discrete Fourier transform (GDFT (\({\mathbb{F}}G))\) as being the mapping \(\sigma_ G: {\mathbb{F}}G\to A_ 1\oplus...\oplus A_ s\) which decomposes the semisimple group algebra \({\mathbb{F}}G\) into simple Wedderburn components \(A_ i\), \(i=1,...,s\).
openaire   +2 more sources

Implementation of quantum and classical discrete fractional Fourier transforms [PDF]

open access: yes
Fourier transforms, integer and fractional, are ubiquitous mathematical tools in basic and applied science. Certainly, since the ordinary Fourier transform is merely a particular case of a continuous set of fractional Fourier domains, every property and ...
Christodoulides, Demetrios N.   +11 more
core   +1 more source

Fourier and Laplace Transforms

open access: yes, 2003
This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena.
Beerends, R.J.   +2 more
core   +2 more sources

Design And Implementation Of Radix-4 Fast Fourier Transform In Asia Chip With 0.18 M Standard CMOS Technology [TK5102.9. S624 2008 f rb]. [PDF]

open access: yes, 2008
Jelmaan Fourier pantas (FFT) merupakan blok yang penting dan digunakan secara meluas dalam algoritma pemprosesan isyarat digital. The Fast Fourier Transform (FFT) is a critical block and widely used in digital signal processing ...
Palaniappan, Siva Kumar
core  

Fast-responding measurements of power system harmonics using discrete and fast fourier transforms with low spectral leakage

open access: yes, 2011
Conventional wisdom dictates that a Fast Fourier Transform (FFT) will be a more computationally effective method for measuring multiple harmonics than a Discrete Fourier Transform (DFT) approach.
A. Cruden   +7 more
core   +1 more source

Central Splitting of A2 Discrete Fourier–Weyl Transforms

open access: yes, 2020
Two types of bivariate discrete weight lattice Fourier–Weyl transforms are related by the central splitting decomposition. The two-variable symmetric and antisymmetric Weyl orbit functions of the crystallographic reflection group A2 constitute the ...
Mariia Myronova   +2 more
core   +1 more source

An Application to Transient Current Signal based Induction Motor Fault Diagnosis of Fourier-Bessel Expansion and Simplified Fuzzy ARTMAP [PDF]

open access: yes, 2013
The start-up transient signals have been widely used for fault diagnosis of induction motor because they can reveal early defects in the development process, which are not easily detected with the signals in the steady state operation. However, transient
Ball, Andrew   +4 more
core   +1 more source

Spreadsheet Demonstrations of Discrete and Fast Fourier Transforms

open access: yes, 1993
Spreadsheet demonstration of discrete and fast Fourier transforms The creation of discrete and fast Fourier transforms on a spreadsheet is a simple and informative exercise which graphically illustrates the simplicity and symmetries of the FFT ...
David Chapman
core   +1 more source

Fourier analysis of a class of finite radon transforms [PDF]

open access: yes, 2003
We develop a Fourier analysis for Radon transforms between multiplicity-free permutation representations. Statistical applications of such Radon transforms were given by Diaconis and Rockmore in [ Groups and Computation ( New Brunswick, NJ, 1991), DIMACS
SCARABOTTI, Fabio
core   +1 more source

Continuous vs. discrete fractional Fourier transforms

open access: yes, 1999
We compare the finite Fourier (-exponential) and Fourier–Kravchuk transforms; both are discrete, finite versions of the Fourier integral transform. The latter is a canonical transform whose fractionalization is well defined.
Luis Edgar Vicent   +5 more
core   +1 more source

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