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The circular convolution of two aperiodic functions occurs when one of them is convolved in the normal way with a periodic summation of the other function. That situation arises in the context of the Circular convolution theorem. The identical operation can also be expressed in terms of the periodic summations of both functions, if the infinite integration interval is reduced to just one period. That situation arises in the context of the Discrete-time Fourier transform (DTFT) and is also called periodic convolution. In particular, the transform (DTFT) of the product of two discrete sequences is the periodic convolution of the transforms of the individual sequences.

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Q: What do you mean by periodic convolution?
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Related questions

Why is the need for circular convolution?

for finding convolution of periodic signals we use circular convolution


Applications of Circular convolution?

for finding convolution of periodic signals we use circular convolution


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


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the convolution of a signal is to filter the components of the signal. The convolution does not mean the masking. Masking means it is going to remove all the masked components(both high and low frequency components).But convolution is going to remove any one (either low r high frequency) depending upon the filter response.


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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


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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):


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


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