(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi. I don't understand my results when I deconvolve two non-negative peaks. I also get a peak but it is fallowed by a negative "valley". Can devonvolution of two positive graphs give graphs with negative parts?

2. Relevant equations

In this case I deconvole two gamma variates:

f(t) = a(t-to)^b exp[ -(t-to)/c ] step(t-t0)

g(t) = d(t-t1)^k exp[ -(t-t1)/m ] step(t-t1)

3. The attempt at a solution

I use MATLAB's discrete fourier tranformation function and simply divide without filtering (what filter would I use? Is there noise in a sampled analytical function?) I've also tried changing sampling frequency and the window of the function = the negative dip stays there! I've also used Singular value decomposition to do the deconvolution- also I get a negative valley. Where does this come from? Does deconvoluion have a unique solution?

thanks.

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# Strange deconvolution results

Can you offer guidance or do you also need help?

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