easy way to convolve a function


by thomitsu
Tags: convolve, function
thomitsu
thomitsu is offline
#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
Phys.Org News Partner Science news on Phys.org
Simplicity is key to co-operative robots
Chemical vapor deposition used to grow atomic layer materials on top of each other
Earliest ancestor of land herbivores discovered
thomitsu
thomitsu is offline
#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
mathman is offline
#3
Dec2-10, 03:54 PM
Sci Advisor
P: 5,935
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
thomitsu is offline
#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!


Register to reply