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Homework Help: Strange deconvolution results

  1. Feb 3, 2007 #1
    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.
     
  2. jcsd
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