Results 21 to 30 of about 23,128 (265)
On the Duality of Discrete and Periodic Functions
Mathematics, 2015 Although versions of Poisson’s Summation Formula (PSF) have already been studied extensively, there seems to be no theorem that relates discretization to periodization and periodization to discretization in a simple manner.
Jens V. Fischer
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Generalized Approximate Message Passing Detector for GSM-OTFS Systems
IEEE Access, 2022 Orthogonal Time Frequency Space (OTFS) as a two-dimensional modulation scheme designed in the delay-Doppler domain, is realized by inverse symplectic finite Fourier transform (ISFFT) and symplectic finite Fourier transform (SFFT), for combating the high ...
Tiebin Wang +5 more
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Generalizing the discrete fourier transform
Discrete 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 \(A_ i\), \(i=1,...,s\).
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Generalized transforms and convolutions
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper, using the concept of a generalized Feynman integral, we define a generalized Fourier-Feynman transform and a generalized convolution product.
Timothy Huffman +2 more
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Beurling’S Theorem and Lp− Lqmorgan’S Theorem for the Generalized Bessel-Struve Transform
International Journal of Analysis and Applications, 2016 The generalized Bessel-Struve transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling’s theorem and Lp− LqMorgan’s theorem obtained for the generalized Bessel-Struve transform.
A. Abouelaz +3 more
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Strong approximation of Fourier series on generalized periodic Morrey spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In recent years, a lot of attention has been paid to study of Morrey type spaces. Many applications in partial differential equation of Morrey spaces and Lizorkin-Triebel spaces have been given in work G.Di Fazioand, M.
A.N. Adilkhanov +2 more
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
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Fast generalized Fourier transforms
Theoretical Computer Science, 1989 Computational complexity of the fast generalized Fourier transforms is discussed on the basis of the Wedderburn's structure theorem. In the sequel, the upper bound of the linear complexity is confidently estimated.
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Examples and CounterexamplesIn this work, we first introduce the two-sided quaternion Fourier transform and demonstrate its essential properties. We generalize Titchmarsh’s-type theorem in the framework of the two-sided quaternion Fourier transform. Based on the interaction between
Mawardi Bahri
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A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy
Advanced Engineering Materials, EarlyView.A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle +5 more
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