Inverse autoconvolution (autocorrelation) solutions space

2013 7 17
2 个回答
6 次查看（30 天）

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Hi !
I need to define the space of all the solutions of an inverse autoconvolution.
Is there an known way to do that ? Is there a parametric way to define that space ?
I thought about using the convolution theorem: f=invFourier(sqrt(Fourier(f*f)))
But I don't know how to define the non-symmetrical solutions.
Thanks

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回答（2 个）

Youssef Khmou
Youssef Khmou 2013-7-17

0 个投票

Dear Jonathan,
Do you mean 1/autocorrelation(X)? you have to define the system X, is it 1D,2D signal?
Based on the Wiener theorem you mentioned, you can check my submission based on that theorem (2d signal ) :
http://www.mathworks.com/matlabcentral/fileexchange/37624-2d-autocorrelation-function
Jonathan
Jonathan 2013-7-18

0 个投票

Hi !
I found new information on the subject. What i'm trying to do is a deautoconvolution of a nonnegative 1D function. There's a lot of info on the subject in the following paper:
An Iterative deautoconvolution algorithm for nonnegative functions
I will try implementing the algorithm contain in that article and maybe try the one contain in this article:
Deblurring subject to nonnegativity constraints

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Jonathan
Jonathan
2013-7-17

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