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What is convolution?

Updated: 12/12/2022
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15y ago

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In mathematics and, in particular, functional analysis, convolution is a mathematical operator which takes two functions f and g and produces a third function that in a sense represents the amount of overlap between f and a reversed and translated version of g. A convolution is a kind of very general moving average, as one can see by taking one of the functions to be an indicator function of an interval. we mainly use impulse functions to convolute in dicreate cases

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Q: What is convolution?
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Related questions

Why is the need for circular convolution?

for finding convolution of periodic signals we use circular convolution


Can you perform a linear convolution from circular convolution?

yes we can perform linear convolution from circular convolution, but the thing is zero pading must be done upto N1+N2-1 inputs.


Diff between linear and circular convolution?

there is a big difference between circular and linear convolution , in linear convolution we convolved one signal with another signal where as in circular convolution the same convolution is done but in circular patteren ,depending upon the samples of the signal


State and prove convolution theorem for fourier transform?

Convolution TheoremsThe convolution theorem states that convolution in time domain corresponds to multiplication in frequency domain and vice versa:Proof of (a):Proof of (b):


Applications of Circular convolution?

for finding convolution of periodic signals we use circular convolution


How do you put the word convolution in a sentence?

This is how I use convolution in a sentence. :D


Difference between linear and circular convolution?

circular convolution is used for periodic and finite signals while linear convolution is used for aperiodic and infinite signals. In linear convolution we convolved one signal with another signal where as in circular convolution the same convolution is done but in circular pattern ,depending upon the samples of the signal


What is frequency counterpart of convolution?

Convolution in the time domain is equivalent to multiplication in the frequency domain.


What are the release dates for Convolution - 2012?

Convolution - 2012 was released on: USA: 24 August 2012


Why you do convolution instead of multiplication?

Convolution is particularly useful in signal analysis. See related link.


What is frequency domain counterpart of convolution?

Convolution in the time domain is equivalent to multiplication in the frequency domain.


What is the difference between continuous and discrete convolution?

A convolution is a function defined on two functions f(.) and g(.). If the domains of these functions are continuous so that the convolution can be defined using an integral then the convolution is said to be continuous. If, on the other hand, the domaisn of the functions are discrete then the convolution would be defined as a sum and would be said to be discrete. For more information please see the wikipedia article about convolutions.