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Easy way to convolve a function

by thomitsu
Tags: convolve, function
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thomitsu
#1
Dec2-10, 06:47 AM
P: 6
Hallo there!

I was wondering wether there is an easy way to convolve a function with itself.
For example is ther an easy formula or something that gives directly the result?
thanks in advance
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thomitsu
#2
Dec2-10, 06:52 AM
P: 6
for example, for correlation...

The correlation of a function with itself is called its autocorrelation
In this case the correlation theorem becomes
the transform pair
– This is the Wiener-Khinchin Theorem
Corr(g,g)↔G( f )G*( f ) = G( f )^2

Is there something like that for convolution???
mathman
#3
Dec2-10, 03:54 PM
Sci Advisor
P: 6,039
I don't know if it helps any, but take the Fourier transform of the function, square the transform, and take the inverse transform of the result.

thomitsu
#4
Dec3-10, 05:16 AM
P: 6
Easy way to convolve a function

Oh god! This is so complicated( my function is a squared bessel function)!! I will try it though.thank you so much!


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