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Circuler coonvolution Vs linear convolution

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naresh850

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linear convolution circular convolution

What is the difference between Circuler and linear convolution?

where circuler convolution is used?

-Naresh
 

When signal has some periodicity like OFDM signal...
we have to go for circular convolution to get correct result in stead of liner one...
 

The difference is that your signal in circular convolution is periodic.

For example, when you apply a filter with circular convolution, you do not have the same borders effects.
 

Quick example:

h(n) : transfer function
x(n) : signal

linear convolution:
y(n)=Σh(n-k)*x(k) ; from 0 to N-1

circular convolution

y(n)=Σh[(n-k) mod N]*x(k) ; from 0 to N-1
 

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