Results 11 to 20 of about 3,330 (300)

A “Fourier Transform” for Multiplicative Functions on Non-Crossing Partitions [PDF]

Journal of Algebraic Combinatorics, 1997
Free probability theory was introduced by D. Voiculescu about 15 years ago in connection with some old questions in the theory of operator algebras. Soon it turned out that `freeness' is not only an appropriate tool for dealing with these questions, but that it presents an abstract concept with an interesting structure of its own which has also many ...
Nica, Alexandru, Speicher, Roland
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Multiplicative characters and the discrete Fourier transform

Advances in Applied Mathematics, 1986
The paper is concerned with an analysis of multiplicative complexity of the discrete Fourier transform from a number theoretic point of view. Results from a paper of \textit{L. Auslander}, \textit{E. Feig} and \textit{S. Winograd} [Adv. Appl. Math. 5, 31-55 (1984; Zbl 0568.65095)] are reproved using the multiplicative characters theory.
Tolimieri, R
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Raman and Fourier transform infrared hyperspectral imaging to study dairy residues on different surface

Journal of Spectral Imaging, 2019
Milk is a complex emulsion of fat and water with proteins (such as caseins and whey), vitamins, minerals and lactose dissolved within. The purpose of this study is to automatically distinguish different dairy residues on substrates commonly used in the ...
V. Caponigro, F. Marini, R.M. Dorrepaal, A. Herrero-Langreo, A.G.M. Scannell, A.A. Gowen   +5 more
doaj   +2 more sources

Optimal Detector for Multiplicative Watermarks Embedded in the DFT Domain of Non-White Signals

EURASIP Journal on Advances in Signal Processing, 2004
This paper deals with the statistical analysis of the behavior of a blind robust watermarking system based on pseudorandom signals embedded in the magnitude of the Fourier transform of the host data.
Solachidis Vassilios, Pitas Ioannis
doaj   +2 more sources

Forensic classification of gunpowder and fireworks powders by ATR-FT-IR spectroscopy and chemometric modelling [PDF]

Frontiers in Chemistry
BackgroundRapid and reliable discrimination of ammunition propellants from consumer fireworks powders is critical in forensic explosives analysis but remains challenging due to overlapping chemical signatures and variability in formulations.MethodsIn ...
Abdulrahman Aljanaahi, Abdulrahman Aljanaahi, Abdulla Aljanaahi, Abdulla Aljanaahi, Noora Abdulkarim Ahli, Roudha Alblooshi, Abdulla Yasin, Iltaf Shah   +7 more
doaj   +2 more sources

Calculation of computational complexity for radix-2 p fast fourier transform algorithms for medical signals

Journal of Medical Signals and Sensors, 2013
Owing to its simplicity radix-2 is a popular algorithm to implement fast fourier transform. Radix-2 p algorithms have the same order of computational complexity as higher radices algorithms, but still retain the simplicity of radix-2.
Rassoul Amirfattahi
doaj   +1 more source

A dataset for geographical origin identification of tobacco leaves from multiple countries using near-infrared spectroscopy and chemometric analysisMendeley Data [PDF]

Data in Brief
This dataset comprises 347 complete spectra of tobacco leaves, acquired using an Antaris II Fourier Transform Near-Infrared spectrometer equipped with an integrating sphere diffuse reflectance sampling system.
Hexin Chen, Junwei Guo, Beibei Li, Ran Wan, Cong Wang, Mingliang Su, Xiaoyu Wang, Ruihong Liu, Sheng Wang, Kejian Liu, Li Chen, Song Yang, Fuwei Xie, Cong Nie, Le Zhao, Hongbo Wang, Zechun Liu   +16 more
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Stochastic Density Functional Theory on Lane Formation in Electric-Field-Driven Ionic Mixtures: Flow-Kernel-Based Formulation

Entropy, 2022
Simulation and experimental studies have demonstrated non-equilibrium ordering in driven colloidal suspensions: with increasing driving force, a uniform colloidal mixture transforms into a locally demixed state characterized by the lane formation or the ...
Hiroshi Frusawa
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Computing Shor’s algorithmic steps with interference patterns of classical light

Scientific Reports, 2022
When considered as orthogonal bases in distinct vector spaces, the unit vectors of polarization directions and the Laguerre–Gaussian modes of polarization amplitude are inseparable, constituting a so-called classical entangled light beam.
Wei Wang, Ziyang You, Shuangpeng Wang, Zikang Tang, Hou Ian   +4 more
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Multiplication of Polynomials using Discrete Fourier Transformation [PDF]

Formalized Mathematics, 2006
Multiplication of Polynomials using Discrete Fourier Transformation In this article we define the Discrete Fourier Transformation for univariate polynomials and show that multiplication of polynomials can be carried out by two Fourier Transformations with a vector multiplication in-between.
Krzysztof Treyderowski, Christoph Schwarzweller   +1 more
openaire   +1 more source