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A guided tour of the fast Fourier transform - IEEE ...
https://ieeexplore.ieee.org/document/5213896
A guided tour of the fast Fourier transform Abstract: For some time the Fourier transform has served as a bridge between the time domain and the frequency domain. It is now possible to go back and forth between waveform and spectrum with enough speed and economy to create a whole new range of applications for this classic mathematical device.Cited by: 839
A Faster Fast Fourier Transform - Full Page Reload
https://spectrum.ieee.org/computing/software/a-faster-fast-fourier-transform
Gilbert Strang, author of the classic textbook Linear Algebra and Its Applications, once referred to the fast Fourier transform, or FFT, as “the most important numerical algorithm in our ...
The fast Fourier transform - IEEE Journals & Magazine
https://ieeexplore.ieee.org/document/5217220/
Abstract: The fast Fourier transform (FFT), a computer algorithm that computes the discrete Fourier transform much faster than other algorithms, is explained. Examples and detailed procedures are provided to assist the reader in learning how to use the algorithm. The savings in computer time can be huge; for example, an N = 210-point transform can be computed with the FFT 100 times faster than ...
Fast Fourier Transform
https://archive.lib.msu.edu/crcmath/math/math/f/f044.htm
Gergkand, G. D. ``A Guided Tour of the Fast Fourier Transform.'' IEEE Spectrum, pp. 41-52, July 1969. Lipson, J. D. Elements of Algebra and Algebraic Computing.
A guided tour of the fast Fourier transform
https://www.infona.pl/resource/bwmeta1.element.ieee-art-000005213896
A guided tour of the fast Fourier transform For some time the Fourier transform has served as a bridge between the time domain and the frequency domain. It is now possible to go back and forth between waveform and spectrum with enough speed and economy to create a whole new range of applications for this classic mathematical device.Cited by: 839
Fourier transforms for fast and quantitative Laser Speckle ...
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6746788/
However, the power spectrum can be calculated in a fraction of the time, owing to the very efficient Fast Fourier Transform (FFT) algorithm 32. Therefore the same quantitative information can be obtained much faster. Once the power spectrum has been calculated, the autocorrelation function can be readily obtained as its Fourier transform.
A general mapping technique for Fourier transform ...
https://ieeexplore.ieee.org/document/641425/
In this technique, almost-periodic spectrum truncated using the box scheme is mapped onto an equivalent periodic spectrum which is dense with no missing harmonic. The Fourier transform (or its inverse) is then implemented by a single one-dimensional fast Fourier transform. Characteristics of the mapping technique are illustrated by some results.
High-precision fiber-optic two-way time transfer network ...
https://www.sciencedirect.com/science/article/pii/S0030401820307598
A guided tour of the fast fourier transform. IEEE spectrum, 6 (7) (1969), pp. 41-52. Google Scholar. Wang H., et al.Multicore fiber-enabled stable millimeter-wave local oscillator phase dissemination trunk network. J. Lightwave Technol., 37 (20) (2019), pp. 5238-5245. Google Scholar
Fourier Transforms - IGOR Pro
https://www.wavemetrics.com/products/igorpro/dataanalysis/signalprocessing/fouriertransforms
Continuous Wavelet Transform (CWT) Wigner Transform; Short-Time Fourier Transform Transform; Hilbert Transform; References. G.D. Bergland, “A guided tour of the fast Fourier transform,” IEEE Spectrum7, 41-52 (1969). James W. Cooley and John W. Tukey, “An algorithm for the machine calculation of complex Fourier series,” Math.
An accurate algorithm for nonuniform fast Fourier ...
https://ieeexplore.ieee.org/document/650975/
Abstract: Based on the (m, N, q)-regular Fourier matrix, a new algorithm is proposed for fast Fourier transform (FFT) of nonuniform (unequally spaced) data. Numerical results show that the accuracy of this algorithm is much better than previously reported results with the …
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