Topic
Non-uniform discrete Fourier transform
About: Non-uniform discrete Fourier transform is a research topic. Over the lifetime, 4067 publications have been published within this topic receiving 123952 citations.
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40 citations
TL;DR: In this article, the time variant discrete Fourier transform (TVDFT) was proposed as an alternative order tracking method for rotating machinery, which is a combination of the Fast Fourier Transform (FFT) and the resampling based methods.
40 citations
TL;DR: The concept of higher order short time Fourier transform phase derivatives is introduced, which may be used to estimate signal trajectories instantaneously in both time and frequency and to determine convergence of the remapped time–frequency surface.
40 citations
01 Nov 1987
TL;DR: In the recursive Fourier transform, the data window can be chosen such that the number of computations required to update the transform at each frequency upon reception of a new data sample is independent of the transform block length.
Abstract: In the recursive Fourier transform, the data window can be chosen such that the number of computations required to update the transform at each frequency upon reception of a new data sample is independent of the transform block length.
40 citations
TL;DR: In this paper, the authors derived formulas for the two-dimensional Fourier transform of functions with polygonal support and linear amplitude variation from the corresponding formula for a constant function, valid for all nonzero values of the transform variable k, which fail when k is perpendicular or parallel to any edge of the polygon.
Abstract: New formulas for the two-dimensional Fourier transform of functions with polygonal support and linear amplitude variation are derived from the corresponding formula for a constant function. These expressions, valid for all nonzero values of the transform variable k, are superior to those previously reported, which fail when k is perpendicular or parallel to any edge of the polygon. These transforms have applications in diffraction theory and computational electromagnetics. >
40 citations