Results 21 to 30 of about 10,061 (308)
Fourier and Laplace Transforms [PDF]
, 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
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Logarithm of the Discrete Fourier Transform
International Journal of Mathematics and Mathematical Sciences, 2007 The discrete Fourier transform defines a unitary matrix operator. The logarithm of this operator is computed, along with the projection maps onto its eigenspaces. A geometric interpretation of the discrete Fourier transform is also given.
Michael Aristidou, Jason Hanson
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Dimensions of Atonality: A Response and Extension of von Hippel and Huron (2020)
Empirical Musicology Review, 2020 This commentary addresses von Hippel and Huron's (2020) work on "tonal and anti-tonal" structures in twelve-tone music and offers a possible extension making use of discrete Fourier transforms.
Jason Yust
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More on algebraic properties of the discrete Fourier transform raising and lowering operators★
4 open, 2019 In the present work, we discuss some additional findings concerning algebraic properties of the N-dimensional discrete Fourier transform (DFT) raising and lowering difference operators, recently introduced in [Atakishiyeva MK, Atakishiyev NM (2015), J ...
Atakishiyeva Mesuma K. +2 more
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METHOD OF OBTAINING THE SPECTRAL CHARACTERISTICS OF THE SCANNING PROBE MICROSCOPE
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2021 The article discusses methods and algorithms for digital processing and filtering when carrying out nano-measurements using a scanning probe microscope.
Mariia Kataieva, Vladimir Kvasnikov
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One dimensional fractional frequency Fourier transform by inverse difference operator
Advances in Difference Equations, 2019 This article aims to develop fractional order convolution theory to bring forth innovative methods for generating fractional Fourier transforms by having recourse to solutions for fractional difference equations.
Dumitru Baleanu +3 more
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Uncertainty Relation for the Discrete Fourier Transform [PDF]
Physical Review Letters, 2008 We derive an uncertainty relation for two unitary operators which obey a commutation relation of the form UV=exp[i phi] VU. Its most important application is to constrain how much a quantum state can be localised simultaneously in two mutually unbiased bases related by a Discrete Fourier Transform.
Massar, Serge, Spindel, Philippe
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Fast-responding measurements of power system harmonics using discrete and fast fourier transforms with low spectral leakage [PDF]
, 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
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Central Splitting of A2 Discrete Fourier–Weyl Transforms [PDF]
, 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
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Comparison of Image Compressions: Analog Transformations
Proceedings, 2020 A comparison between the four most used transforms, the discrete Fourier transform (DFT), discrete cosine transform (DCT), the Walsh–Hadamard transform (WHT) and the Haar-wavelet transform (DWT), for the transmission of analog images, varying their ...
Jose Balsa
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