mathematics and signal processing, the constant-Q transform and variable-Q transform, simply known as CQT and VQT, transforms a data series to the frequency domain...
13 KB (1,680 words) - 05:11, 24 June 2025
signal processing Beevers–Lipson strip Constant-Q transform Discrete Fourier transform DFT matrix Fast Fourier transform Fourier integral operator Fourier...
177 KB (21,320 words) - 01:08, 9 August 2025
time-frequency transforms: Cone-shape distribution function Constant-Q transform Fractional Fourier transform Gabor transform Newland transform S transform Wavelet...
22 KB (4,046 words) - 13:46, 21 July 2025
Chirplet transform Complex wavelet transform Constant-Q transform Continuous wavelet transform Daubechies wavelet Discrete wavelet transform DjVu format...
28 KB (3,993 words) - 15:23, 21 July 2025
Morlet wavelet (redirect from Morlet wavelet transform)
the first formalization of the continuous wavelet transform. The wavelet is defined as a constant κ σ {\displaystyle \kappa _{\sigma }} subtracted from...
14 KB (1,878 words) - 13:37, 1 August 2025
during that period. The Z-transform provided a systematic and effective method for solving linear difference equations with constant coefficients, which are...
43 KB (5,653 words) - 14:50, 27 July 2025
In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable...
76 KB (9,705 words) - 16:55, 9 August 2025
= H(u)(t) up to an additive constant, provided this Hilbert transform exists. In signal processing the Hilbert transform of u(t) is commonly denoted by...
60 KB (8,169 words) - 19:09, 23 June 2025
Legendre transformation (redirect from Legendre transform)
line, the Legendre transform f ∗ {\displaystyle f^{*}} of a function f {\displaystyle f} can be specified, up to an additive constant, by the condition...
51 KB (8,915 words) - 14:06, 3 August 2025
Euler-Lehmer constants, i. e. the numbers of the form γ ( a , q ) = lim n → ∞ ( − log ( a + n q ) q + ∑ k = 0 n 1 a + k q ) {\displaystyle \gamma (a,q)=\lim...
71 KB (9,615 words) - 18:58, 30 July 2025
have 6 p 2 q 2 ⟼ P 2 Q 2 + Q 2 P 2 + P Q P Q + P Q 2 P + Q P Q P + Q P 2 Q . {\displaystyle 6p^{2}q^{2}~~\longmapsto ~~P^{2}Q^{2}+Q...
15 KB (2,271 words) - 13:39, 4 July 2025
bilinear transform (also known as Tustin's method, after Arnold Tustin) is used in digital signal processing and discrete-time control theory to transform continuous-time...
19 KB (4,014 words) - 17:01, 17 April 2025
In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional)...
24 KB (3,499 words) - 10:31, 3 August 2025
with Euler's constant, a different constant typically denoted γ {\displaystyle \gamma } . Alternatively, e can be called Napier's constant after John Napier...
59 KB (7,151 words) - 15:57, 8 August 2025
Navy's Special Warfare Combatant-craft Crewmen constant-Q transform, a short-time Fourier transform with logarithmic frequency resolution in signal processing...
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In statistics, a power transform is a family of functions applied to create a monotonic transformation of data using power functions. It is a data transformation...
21 KB (3,007 words) - 01:22, 18 June 2025
contributions in music information retrieval, including developing the constant-Q transform. She is a Fellow of the Acoustical Society of America (ASA) and has...
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audio signal. Note classification and offset detection are based on constant Q transform (CQT) and support vector machines (SVMs). This in turn leads to a...
23 KB (3,173 words) - 19:00, 5 July 2025
vectors of the 24 minor and major keys. For implementation, often the constant-Q transform is used, displaying the musical signal on a log frequency scale....
66 KB (8,109 words) - 22:15, 8 August 2025
constant of proportionality k serves to make the statistical mechanical entropy equal to the classical thermodynamic entropy of Clausius: Δ S = ∫ d Q...
26 KB (2,946 words) - 19:42, 11 July 2025
Möbius transformation (redirect from Parabolic transform)
rotating (with constant angular velocity) about some axis and moving along the same axis, will see the appearance of the night sky transform according to...
70 KB (10,604 words) - 06:51, 2 August 2025
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 (12,334 words) - 06:22, 9 August 2025
frequency ω t = q α m , {\displaystyle \omega _{\text{t}}={\sqrt {\frac {q\alpha }{m}}},} where α {\displaystyle \alpha } is a constant similar to the...
18 KB (2,264 words) - 06:36, 2 June 2025
is a list of Laplace transforms for many common functions of a single variable. The Laplace transform is an integral transform that takes a function...
10 KB (574 words) - 16:09, 28 April 2025
on eigenfunction expansions. The transform was rediscovered independently by Joshua Zak in 1967 who called it the "k-q representation". There seems to...
6 KB (1,172 words) - 07:26, 2 May 2025
{\displaystyle \gamma =2\left({\frac {r(q-p)}{(r-p)(q-r)}}\right)^{1/r}.} The constants δ and γ can also be given for q = ∞ by passing to the limit. A version...
9 KB (1,488 words) - 16:48, 27 March 2025
geometry, the Funk transform (also known as Minkowski–Funk transform, Funk–Radon transform or spherical Radon transform) is an integral transform defined by integrating...
8 KB (1,195 words) - 22:20, 14 May 2024
Low-pass filter (section Fourier transform)
transfer function, s is the Laplace transform variable (complex angular frequency), τ is the filter time constant, α {\displaystyle \alpha } is the cutoff...
32 KB (4,696 words) - 20:25, 28 February 2025
Meijer G-function (redirect from Meijer transform)
as an inverse Mellin transform. The definition holds under the following assumptions: 0 ≤ m ≤ q and 0 ≤ n ≤ p, where m, n, p and q are integer numbers...
49 KB (10,023 words) - 12:56, 16 June 2025
formula for the Q factor is: Q = M k D , {\displaystyle Q={\frac {\sqrt {Mk}}{D}},\,} where M is the mass, k is the spring constant, and D is the damping...
33 KB (3,955 words) - 23:19, 16 July 2025