I am new to mathematica. I do the convolution of dirac delta :(DiracDelta(x-10)" with "sine(t),t=0-pi". How to plot the output ? Theoretically, the full wave should appear at the location of the singularity.
closed as not a real question by F'x, R. M.♦, belisarius has settled, Verbeia♦, whuber Aug 30 '12 at 18:07
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Using convolution theorem http://en.wikipedia.org/wiki/Convolution_theorem that Fourier of the convolution of two functions is the same as multiplications of their Fourier transforms then
and now apply the convolution theorem as above (earlier I forgot to
Here is using
where conv2 above is
Hopefully not more errors in this now. It is nice that Mathematica offers many ways and functions to analyze a problem.