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  2. Overlap–add method - Wikipedia

    en.wikipedia.org/wiki/Overlap–add_method

    When the DFT and IDFT are implemented by the FFT algorithm, the pseudocode above requires about N (log 2 (N) + 1) complex multiplications for the FFT, product of arrays, and IFFT. [ B ] Each iteration produces N-M+1 output samples, so the number of complex multiplications per output sample is about :

  3. Spectrum analyzer - Wikipedia

    en.wikipedia.org/wiki/Spectrum_analyzer

    An FFT analyzer computes a time-sequence of periodograms. FFT refers to a particular mathematical algorithm used in the process. This is commonly used in conjunction with a receiver and analog-to-digital converter. As above, the receiver reduces the center-frequency of a portion of the input signal spectrum, but the portion is not swept.

  4. Multidimensional transform - Wikipedia

    en.wikipedia.org/wiki/Multidimensional_transform

    where "FFT" denotes the fast Fourier transform, and f is the spatial frequency spans from 0 to N/2 – 1. The proposed FFT-based imaging approach is diagnostic technology to ensure a long life and stable to culture arts. This is a simple, cheap which can be used in museums without affecting their daily use.

  5. Fast Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Fast_Fourier_transform

    The development of fast algorithms for DFT can be traced to Carl Friedrich Gauss's unpublished 1805 work on the orbits of asteroids Pallas and Juno.Gauss wanted to interpolate the orbits from sample observations; [6] [7] his method was very similar to the one that would be published in 1965 by James Cooley and John Tukey, who are generally credited for the invention of the modern generic FFT ...

  6. Cooley–Tukey FFT algorithm - Wikipedia

    en.wikipedia.org/wiki/Cooley–Tukey_FFT_algorithm

    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).

  7. Orthogonal frequency-division multiplexing - Wikipedia

    en.wikipedia.org/wiki/Orthogonal_frequency...

    The computational demand approximately scales linearly with FFT size so a double size FFT needs double the amount of time and vice versa. [19]: 83 As a comparison an Intel Pentium III CPU at 1.266 GHz is able to calculate a 8192 point FFT in 576 µs using FFTW. [20] Intel Pentium M at 1.6 GHz does it in 387 µs. [21]

  8. AOL Mail

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    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  9. Raised-cosine filter - Wikipedia

    en.wikipedia.org/wiki/Raised-cosine_filter

    The raised-cosine filter is a filter frequently used for pulse-shaping in digital modulation due to its ability to minimise intersymbol interference (ISI). Its name stems from the fact that the non-zero portion of the frequency spectrum of its simplest form (=) is a cosine function, 'raised' up to sit above the (horizontal) axis.