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Complex symmetric functions and generalized discrete Fourier transform

Rendiconti del Circolo Matematico di Palermo, 1996
Let \(\Omega^{[k]}\) be the class of holomorphic functions \(f(z)\) of the complex variable \(z\) which satisfy, with respect to the \(s\)th root of unity \(\varepsilon_k\), \(k=0,1,\dots,n-1\), the symmetry property \(f(\varepsilon_1z)=\varepsilon_kf(z)\).
L. Rinaldi, P. Ricci
semanticscholar   +3 more sources

Frequency Estimation in Interpolated Discrete Fourier Transform With Generalized Maximum Sidelobe Decay Windows for the Control of Power

IEEE Transactions on Industrial Informatics, 2021
The study presented in this article demonstrates that the sinp time window family is an extension of class I Rife–Vincent windows to a more general class, i.e., generalized maximum sidelobe decay (GMSD) windows.
J. Borkowski   +3 more
semanticscholar   +1 more source

Implementation of Discrete Fourier Transform using RRAM Arrays with Quasi-Analog Mapping for High-Fidelity Medical Image Reconstruction

International Electron Devices Meeting, 2021
In this paper, we report the first experimental implementation of discrete Fourier transform (DFT) on analog resistive switching random-access memory (RRAM) arrays with computing-in-memory (CIM). Considering the features of transform matrix, we developed
Han Zhao   +8 more
semanticscholar   +1 more source

Discrete Fourier-Jacobi Transform and Generalized Lipschitz Classes

Acta Mathematica Vietnamica, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El Mehdi Loualid   +2 more
openaire   +1 more source

Non-Uniform Sparse Fourier Transform and Its Applications

IEEE Transactions on Signal Processing, 2022
The fast approximation algorithm of non-uniform discrete Fourier transform (NUDFT) is an important issue in signal processing. In this paper, a novel estimation algorithm is constructed for NUDFT-II, which is the general form of the sparse Fourier ...
Deyun Wei, Jun Yang
semanticscholar   +1 more source

Generalized discrete Fourier transforms: the discrete Fourier-Riccati-Bessel transform

Computer Physics Communications, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stade, Eric, Layton, E. G.
openaire   +1 more source

A generalization of the discrete fourier transform

Integral Transforms and Special Functions, 1995
In [2] we have considered a class of integral transforms which generalizs the classical Fourier tranform. We are able now to define a class of discrete tranformations which can be considered as a generalization of the discrete Fourier transform. Furthermore, when our result is considered in connnection with the particular kernel associated with th ...
Carlo Belingeri, Paolo Emilio Ricci
openaire   +1 more source

Application of Fourier Transform and Butterworth Filter in Signal Denoising

International Conference on the Software Process, 2021
Signal is the carrier of information, which is usually expressed in physical form. Signal processing is a general designation for signal detection, compression, filtering, transformation, spectrum analysis and other processing.
Xunyu Zhang, Shuai Jiang
semanticscholar   +1 more source

Properties of the Multidimensional Generalized Discrete Fourier Transform

IEEE Transactions on Computers, 1979
In this work the generalized discrete Fouriertransform (GFT), which includes the DFT as a particular case, is considered. Two pairs of fast algorithms for evaluating amultidimensional GFT are given (T-algorithm, F-algorithm, and T'-algorithm, F'-algorithm) It is shown that in the case of the DFT of a vector, the T-algorithm represents a form of the ...
Corsini P., Frosini G.
openaire   +3 more sources

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