convolution

convolution Definition

con·vo·lu·tion (kän′və lo̵̅o̅′s̸hən)

noun

a twisting, coiling, or winding together
a convoluted condition
a fold, twist, or coil of something convoluted; specif., any of the irregular folds or ridges on the surface of the brain

Etymology: ML convolutio < L convolutus, pp. of convolvere: see convolve

convolution Usage Examples

Converse of object

use: Relate what an ideal mixer does to two signals in the time domain to what happens in the frequency domain, using convolution.
implement: This class implements a convolution from the source to the destination.
take: TASCAM's new GigaPulse technology takes real-time convolution to the next level.
normalize: Normalized Convolution The Normalized Convolution ( NC ) may be used to reconstruct images form their sparse and irregular samples.
transform: Then = n ( f g ). In other words, the discrete Fourier transform maps convolution to pointwise multiplication.

Preposition: as

detector: LAPLACE Performs a Laplacian convolution as an edge detector in a 2-d NDF.

Adjective modifier

real-time: TASCAM's new GigaPulse technology takes real-time convolution to the next level.
fast: In the wavelet spectrum that follows, an exact n FFT is used for the CWT's fast convolution.
Gaussian: First of all the image is smoothed by Gaussian convolution.
cyclic: A cyclic convolution requires that the lengths of the input vectors are identical.
cubic: There are three common methods for resampling: nearest neighbor, bilinear interpolation, and cubic convolution.

Modifies a noun

theorem: We make use of the convolution theorems for the Mellin transforms to produce analytic structures for part of the calculation.
kernel: The code to generate the convolution kernel takes 7 minutes to compile on a Xeon 2.4.
mask: Figure 4 One of the pair of 1-D convolution masks used to calculate the full mask shown in Figure 3 more quickly.
operator: Everybody, I wonder whether there is any convolution operator in MAPLE?
reverb: For two and a half years following its debut, Altiverb has been the only real-time convolution reverb plug-in on the market.
function: Thus the response of any linear system whose convolution function is known if very easy to calculate using the FFT.

Preposition: in

domain: Convolution in the time domain is equivalent to multiplication in the frequency domain, which is equivalent to addition in the cepstrum domain.

Preposition: of

function: Solution method: The method of solution is a convolution of the quark structure functions with the fragmentation functions.
brain: It is the convolutions of the human brain that have to be complicated to work out a good explanation.

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