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 (21,038 words) - 12:52, 20 June 2024
operations. The decomposition process itself is called a Fourier transformation. Its output, the Fourier transform, is often given a more specific name, which...
37 KB (4,733 words) - 18:28, 14 May 2024
In a Fourier transformation (FT), the Fourier transformed function f ^ ( s ) {\displaystyle {\hat {f}}(s)} is obtained from f ( t ) {\displaystyle f(t)}...
7 KB (1,291 words) - 09:02, 14 August 2023
A Fast Fourier Transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis...
63 KB (7,355 words) - 13:09, 1 May 2024
computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier transform. The...
20 KB (3,228 words) - 18:37, 27 June 2024
Laplace transform (redirect from Fourier–Laplace transform)
transforms, most notably the Fourier transform and the Mellin transform. Formally, the Laplace transform is converted into a Fourier transform by the substitution...
75 KB (9,288 words) - 15:11, 28 June 2024
In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...
71 KB (11,002 words) - 18:43, 20 June 2024
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 (4,774 words) - 15:30, 26 June 2024
Hilbert space (redirect from Hilbert spaces and Fourier analysis)
the Fourier transformation is a recurring theme in abstract harmonic analysis (since it reflects the conservation of energy for the continuous Fourier Transform)...
128 KB (17,487 words) - 22:34, 20 June 2024
fractional Fourier transform (FRFT) is a family of linear transformations generalizing the Fourier transform. It can be thought of as the Fourier transform...
25 KB (3,733 words) - 19:20, 27 April 2024