Results 31 to 40 of about 10,005 (308)
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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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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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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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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New Algorithm for Real-Valued Fourier Transform
Tikrit 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
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A Spectral Algorithm for Decoding Systematic BCH Codes
IEEE Access, 2022 A novel method of spectral decoding for systematic BCH codes has been proposed. This method has a simple description and a small computational complexity.
Sergei Valentinovich Fedorenko
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Calculation Scheme Based on a Weighted Primitive: Application to Image Processing Transforms
EURASIP Journal on Advances in Signal Processing, 2007 This paper presents a method to improve the calculation of functions which specially demand a great amount of computing resources. The method is based on the choice of a weighted primitive which enables the calculation of function values under the scope ...
Gregorio de Miguel Casado +3 more
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