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
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...
67 KB (7,809 words) - 22:24, 23 June 2025
In mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform (DFT), of a function whose values are commonly complex...
20 KB (3,992 words) - 20:05, 19 June 2025
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
Root of unity (redirect from Cyclotomics)
in number theory, the theory of group characters, and the discrete Fourier transform. It is occasionally called a de Moivre number after French mathematician...
41 KB (5,944 words) - 19:06, 23 June 2025
trigonometric constant coefficients that are multiplied by the data Cyclotomic fast Fourier transform — for FFT over finite fields Methods for computing discrete...
70 KB (8,327 words) - 09:12, 7 June 2025
The split-radix FFT is a fast Fourier transform (FFT) algorithm for computing the discrete Fourier transform (DFT), and was first described in an initially...
8 KB (1,628 words) - 02:05, 12 August 2023
{\displaystyle R_{q}} was accelerated by utilizing fast Fourier transform (FFT)-optimized number theoretic transform (NTT) implementation. Cheon, Jung Hee; Kim...
10 KB (1,759 words) - 19:43, 10 December 2024
David (2015). "Exact Synthesis of Single-Qubit Unitaries Over Clifford-Cyclotomic Gate Sets". Journal of Mathematical Physics. 56 (8). arXiv:1501.04944...
7 KB (950 words) - 06:23, 13 June 2025
function form a quasicrystal, a distribution with discrete support whose Fourier transform also has discrete support. Dyson (2009) suggested trying to prove...
127 KB (16,781 words) - 22:34, 19 June 2025
log n ) {\displaystyle O(n\log n\log \log n)} by using the Fast Fourier Transform (FFT) [citation needed], for appropriate choice of the polynomial...
39 KB (6,061 words) - 05:23, 17 June 2024