Abstract: The sliding discrete Fourier transform (SDFT) is an efficient method for computing the N-point DFT of a given signal starting at a given sample from the N-point DFT of the same signal ...
Two hundred years ago, Joseph Fourier introduced a major concept in mathematics, the so-called Fourier transform (FT). It was not until 1965, when Cooley and Tukey developed the ‘fast Fourier ...
すでに行った，離散フーリエ級数，DFSとほぼ同じです． 信号の周期性の仮定をしていましたが，サンプリングされた信号では， 1周期分のサンプリングとみなせば，有限長データも同じです． 復習：フーリエ変換対 信号 $${x(t)}$$ の周期性に関して，無限長 ...
今回は，周期信号に対する複素フーリエ級数展開（三角多項式）を離散化しよう． これで，離散フーリエ級数（DFS: Discrete Fourier Series）を得られる． まず，周期信号 $${x(t) = x(t+T)}$$ に関する離散化を行う． 周期 $${T}$$ を ${N}$ 分割しよう： T = \sum_{n=0}^{N-1} ...
The goal of this project is to demystify the Discrete Fourier Transform (DFT) by implementing it from scratch using a fundamental Linear Algebra approach, rather than relying on optimized "black box" ...
Abstract: Spherical measurement is a relatively important application in optical measurement. The interferogram obtained in spherical inspection usually consists of closed fringe patterns. Obtaining ...
Welcome to the GPU-FFT-Optimization repository! We present cutting-edge algorithms and implementations for optimizing the Fast Fourier Transform (FFT) on Graphics Processing Units (GPUs).
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