• 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). A Fourier transform...
    65 KB (7,677 words) - 22:34, 20 December 2024
  • Thumbnail for Fourier transform
    In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent...
    176 KB (20,899 words) - 11:24, 5 January 2025
  • 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...
    76 KB (12,311 words) - 10:11, 15 December 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
  • 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 (4,734 words) - 02:39, 16 December 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 (1,477 words) - 15:16, 29 December 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) - 21:40, 16 December 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...
    40 KB (5,073 words) - 10:16, 12 December 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) - 22:16, 25 November 2024
  • periodic patterns. The method uses Fourier analysis (a 2-dimensional fast Fourier transform) to determine localized slopes on a curving surface. This allows...
    1,023 bytes (103 words) - 03:05, 7 November 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
  • 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 (3,301 words) - 20:07, 16 December 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) - 22:22, 19 December 2024
  • 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
  • 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
  • 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 (4,782 words) - 16:57, 2 December 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 (1,694 words) - 10:02, 19 December 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 (2,039 words) - 23:38, 11 December 2024
  • Fourier transform DFT matrix Entropy influence conjecture Fast cosine transform Fast Fourier transform Cyclotomic fast Fourier transform Sparse Fourier transform...
    3 KB (224 words) - 19:08, 14 September 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 (623 words) - 15:10, 29 December 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
  • transform is a generalization of the short-time Fourier transform (STFT), extending the continuous wavelet transform and overcoming some of its disadvantages...
    13 KB (1,880 words) - 07:53, 10 December 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) - 21:46, 11 December 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 (7,211 words) - 05:57, 2 January 2025
  • John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re-expresses the discrete Fourier transform (DFT) of an arbitrary composite...
    37 KB (5,399 words) - 21:47, 25 December 2024
  • 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...
    61 KB (7,944 words) - 02:38, 16 December 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
  • 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) - 19:11, 3 December 2024
  • list of transforms in mathematics. Abel transform Aboodh transform Bateman transform Fourier transform Short-time Fourier transform Gabor transform Hankel...
    3 KB (267 words) - 10:01, 30 April 2024