Topic
Discrete-time Fourier transform
About: Discrete-time Fourier transform is a research topic. Over the lifetime, 5072 publications have been published within this topic receiving 144643 citations. The topic is also known as: DTFT.
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26 citations
TL;DR: The Fourier transform for Schwartz spaces on Chebli-Trimeche hypergroups is studied in this paper, leading to results on approximation to the identity for functions and distributions on the half-line.
Abstract: The Fourier transform for Schwartz spaces on Chebli-Trimeche hypergroups is studied, leading to results on approximation to the identity for functions and distributions on the half-line. In particular it is shown that the heat and Poisson kernels on the half-line form approximate units in various function spaces. A characterization of the convolution of a tempered distribution and a Schwartz function is also given.
26 citations
TL;DR: A Fourier-based regularized method for reconstructing the wavefront from multiple directional derivatives is presented, which is robust to noise, and specially suited for deflectometry measurement.
Abstract: We present a Fourier-based regularized method for reconstructing the wavefront from multiple directional derivatives. This method is robust to noise, and is specially suited for deflectometry measurement.
26 citations
TL;DR: In this paper, the authors combine the traditional Ewald summation technique with the nonuniform Fast Fourier transform to calculate the electrostatic energies and forces in molecular compartments.
26 citations
01 Nov 1995
TL;DR: The basic terminology and the main concepts of the area are introduced, as well as several application domains, providing common ground for further discussion and study.
Abstract: The Fourier transform is among the most widely used tools for transforming data sequences and functions from what is referred to as the {\it time domain} to the {\it frequency domain}. Applications of the transform range from designing filters for noise reduction in audio-signals (such as music or speech), to fast multiplication of polynomials. This report is meant to serve as a brief introduction to the Fourier transform, for readers who are not familiar with frequency domain. It introduces the basic terminology and the main concepts of the area, as well as several application domains, providing common ground for further discussion and study.
26 citations