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A Fistful of TOWs – TOW stands for "tube-launched, optically tracked, wire-guided missiles" [1] — is a set of rules designed for wargames with 6 mm miniatures at a scale of either 1" = 100 metres or 1 cm = 100 metres. The rules for modern combat have specifically been designed to provide relatively fast play.
The Cooley–Tukey algorithm, named after J. W. Cooley and John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re-expresses the discrete Fourier transform (DFT) of an arbitrary composite size = in terms of N 1 smaller DFTs of sizes N 2, recursively, to reduce the computation time to O(N log N) for highly composite N (smooth numbers).
At the end of the recursion, for s = n-1, there remain 2 n-1 linear polynomials encoding two Fourier coefficients X 0 and X 2 n-1 for the first and for the any other k th polynomial the coefficients X k and X 2 n-k. At each recursive stage, all of the polynomials of the common degree 4M-1 are reduced to two parts of half the degree 2M-1.
The split-radix FFT algorithm has been proved to be a useful method for 1-D DFT. And this method has been applied to the vector-radix FFT to obtain a split vector-radix FFT. [6] [7] In conventional 2-D vector-radix algorithm, we decompose the indices , into 4 groups:
Fig 1: A sequence of five plots depicts one cycle of the overlap-add convolution algorithm. The first plot is a long sequence of data to be processed with a lowpass FIR filter. The 2nd plot is one segment of the data to be processed in piecewise fashion. The 3rd plot is the filtered segment, including the filter rise and fall transients.
The Schönhage–Strassen algorithm is an asymptotically fast multiplication algorithm for large integers, published by Arnold Schönhage and Volker Strassen in 1971. [1] It works by recursively applying fast Fourier transform (FFT) over the integers modulo +.
The chirp Z-transform (CZT) is a generalization of the discrete Fourier transform (DFT). While the DFT samples the Z plane at uniformly-spaced points along the unit circle, the chirp Z-transform samples along spiral arcs in the Z-plane, corresponding to straight lines in the S plane.
The Bailey's FFT (also known as a 4-step FFT) is a high-performance algorithm for computing the fast Fourier transform (FFT). This variation of the Cooley–Tukey FFT algorithm was originally designed for systems with hierarchical memory common in modern computers (and was the first FFT algorithm in this so called "out of core" class).