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Generalized Discrete Fourier Transform on the Base of Lagrange and Hermite Interpolation Formulas
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Sitnik, S. M. +2 more
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In the given operation the practical results of computer simulation of compression of some classes of the imagies are presented. The image, before encoding, is previously separated into two parts — object and background.
V.G. Ivanov +2 more
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Generalizing the discrete fourier transform
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 \(A_ i\), \(i=1,...,s\).
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A generalized Walsh system for arbitrary matrices
In this paper we study in detail a variation of the orthonormal bases (ONB) of L2[0, 1] introduced in [Dutkay D. E., Picioroaga G., Song M. S., Orthonormal bases generated by Cuntz algebras, J. Math. Anal.
Harding Steven N., Picioroaga Gabriel
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A rigorous method for obtaining the diffraction patterns of quasicrystals is presented. Diffraction patterns are an essential analytical tool in the study of quasicrystals, since they can be used to determine their photonic resonances.
Farhad A. Namin, Douglas H. Werner
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Trigonometric Interpolation Using the Discrete Fourier Transform [PDF]
The Fourier transform (and all its versions, discrete/continuous/finite/infinite), covers deep and abstract mathematical concepts, and can easily overwhelm with detail.
Ponce Campuzano, Juan Carlos
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Accurate and efficient frequency estimation is essential in many scientific fields and has led to the development of various algorithms. Commonly used methods involve applying the Discrete Fourier Transform followed by spectral interpolation.
Fernando M. Janeiro, Pedro M. Ramos
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An improved architecture for the adaptive discrete cosine transform [PDF]
This paper presents a new approach to the efficient realisation of the discrete cosine transform for the specific case of interlaced image sequence coding.
Martin, F, Bull, DR
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Two Versions of Dunkl Linear Canonical Wavelet Transforms and Applications
Among the class of generalized Fourier transformations, the linear canonical transform is of crucial importance, mainly due to its higher degrees of freedom compared to the conventional Fourier and fractional Fourier transforms.
Saifallah Ghobber, Hatem Mejjaoli
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Generalized DFT-s-OFDM Waveforms Without Cyclic Prefix
This paper deals with generalized discrete Fourier transform-spread-orthogonal frequency division multiplexing (G-DFT-s-OFDM) waveforms, which replace the cyclic prefix of traditional OFDM/DFT-s-OFDM with an internal guard period.
Gilberto Berardinelli
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