• Thumbnail for Fast Fourier transform
    A fast Fourier transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis...
    64 KB (7,525 words) - 15:16, 11 November 2024
  • Thumbnail for Fourier transform
    In physics, engineering and mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function...
    177 KB (21,016 words) - 19:41, 14 November 2024
  • Thumbnail for Discrete Fourier transform
    In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...
    77 KB (12,371 words) - 05:32, 11 November 2024
  • Thumbnail for Fourier analysis
    The discrete version of the Fourier transform (see below) can be evaluated quickly on computers using fast Fourier transform (FFT) algorithms. In forensics...
    37 KB (4,733 words) - 23:33, 17 October 2024
  • Thumbnail for Short-time Fourier transform
    The short-time Fourier transform (STFT) is a Fourier-related transform used to determine the sinusoidal frequency and phase content of local sections...
    22 KB (4,051 words) - 16:46, 1 August 2024
  • The cyclotomic fast Fourier transform is a type of fast Fourier transform algorithm over finite fields. This algorithm first decomposes a DFT into several...
    6 KB (1,473 words) - 17:50, 27 December 2015
  • discrete Fourier transform (NUDFT or NDFT) of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete-time Fourier transform...
    14 KB (2,447 words) - 18:32, 29 August 2024
  • the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier transform. The quantum...
    20 KB (3,299 words) - 16:38, 19 October 2024
  • arguments, Fourier-related transforms include: Two-sided Laplace transform Mellin transform, another closely related integral transform Laplace transform: the...
    7 KB (1,002 words) - 19:07, 10 September 2024
  • In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to a sequence of discrete values. The DTFT...
    42 KB (5,435 words) - 20:43, 13 November 2024
  • synchronization, spectrum sensing and analog-to-digital converters.: The fast Fourier transform (FFT) plays an indispensable role on many scientific domains, especially...
    12 KB (1,633 words) - 01:58, 3 May 2024
  • The fast Fourier transform (FFT) is an important tool in the fields of image and signal processing. The hexagonal fast Fourier transform (HFFT) uses existing...
    8 KB (1,637 words) - 01:08, 27 November 2020
  • is also known as the Fourier–Bessel transform. Just as the Fourier transform for an infinite interval is related to the Fourier series over a finite interval...
    26 KB (4,204 words) - 00:07, 22 July 2024
  • Thumbnail for Constant-Q transform
    constant-Q transform and variable-Q transform, simply known as CQT and VQT, transforms a data series to the frequency domain. It is related to the Fourier transform...
    13 KB (1,682 words) - 16:05, 10 September 2024
  • In mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform (DFT), of a function whose values are commonly complex...
    19 KB (3,805 words) - 11:16, 3 September 2024
  • Thumbnail for Fourier-transform infrared spectroscopy
    Fourier-transform infrared spectroscopy (FTIR) is a technique used to obtain an infrared spectrum of absorption or emission of a solid, liquid, or gas...
    37 KB (4,776 words) - 09:47, 11 October 2024
  • the Fourier transform on finite groups is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups. The Fourier transform...
    12 KB (1,856 words) - 04:42, 7 November 2024
  • a Fourier-related transform similar to the discrete Fourier transform (DFT), but using only real numbers. The DCTs are generally related to Fourier series...
    101 KB (11,983 words) - 16:54, 13 November 2024
  • Thumbnail for FFTW
    FFTW is one of the fastest free software implementations of the fast Fourier transform (FFT). It implements the FFT algorithm for real and complex-valued...
    6 KB (619 words) - 21:02, 25 June 2024
  • John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re-expresses the discrete Fourier transform (DFT) of an arbitrary composite...
    36 KB (5,397 words) - 03:21, 31 July 2024
  • Thumbnail for Chinese remainder theorem
    computation of a fast Fourier transform of size n 1 n 2 {\displaystyle n_{1}n_{2}} to the computation of two fast Fourier transforms of smaller sizes...
    42 KB (7,212 words) - 22:19, 5 November 2024
  • more dimensions. One of the more popular multidimensional transforms is the Fourier transform, which converts a signal from a time/space domain representation...
    24 KB (4,600 words) - 04:28, 31 July 2024
  • Thumbnail for Discrete dipole approximation
    improved by Draine, Flatau, and Goodman, who applied the fast Fourier transform to solve fast convolution problems arising in the discrete dipole approximation...
    35 KB (2,668 words) - 03:35, 29 July 2024
  • of Fourier analysis topics and list of Fourier-related transforms, which are more directed towards the classical Fourier series and Fourier transform of...
    3 KB (202 words) - 12:10, 30 October 2023
  • Thumbnail for Finite element method
    partial differential equation is the Fast Fourier Transform (FFT), where the solution is approximated by a fourier series computed using the FFT. For approximating...
    60 KB (7,917 words) - 07:13, 2 November 2024
  • discrete Hartley transform (DHT) is a Fourier-related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous...
    23 KB (4,180 words) - 01:41, 5 February 2023
  • provably secure hash functions. It is based on the concept of the fast Fourier transform (FFT). SWIFFT is not the first hash function based on the FFT, but...
    13 KB (1,616 words) - 22:56, 19 October 2024
  • Thumbnail for John O'Sullivan (engineer)
    together invented a patented technology that uses fast Fourier transform and other techniques to enable fast, robust wireless networking in the home and office...
    8 KB (809 words) - 22:45, 12 October 2024
  • Thumbnail for Radon transform
    curves in space. Fast Fourier transform Radon 1917. Odložilík, Michal (2023-08-31). Detachment tomographic inversion study with fast visible cameras on...
    24 KB (3,496 words) - 10:00, 8 October 2024
  • mathematics, the irrational base discrete weighted transform (IBDWT) is a variant of the fast Fourier transform using an irrational base; it was developed by...
    2 KB (170 words) - 09:42, 13 January 2024