This is how I use convolution in a sentence. :D
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.
for finding convolution of periodic signals we use circular convolution
There are a lot of convolution functions in matlab, mostly in the signal processing toolbox, so it depends on what you want to do. Matlab has extensive help files available online.
yes we can perform linear convolution from circular convolution, but the thing is zero pading must be done upto N1+N2-1 inputs.
the convolutions on Ken's brain were damaged when his head went through the windshield of Malibu Barbie's car
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
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):
for finding convolution of periodic signals we use 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
Convolution in the time domain is equivalent to multiplication in the frequency domain.
Convolution is particularly useful in signal analysis. See related link.