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MathGroup Archive 1998

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Re: Convolution

Larry Gottlob wrote:
> I define two functions:
> Func1[x_] := tau*Exp(-x)
> Func2[x_] := mu*x^2
> for instance, where tau and mu are constants.
> How do I define a function of x that is a convolution of Func1 and
> Func2, and plot that?

Func1[x_] := tau*Exp[-x]
Func2[x_] := mu*x^2

h[x_]= Integrate[Func1[s] Func2[x-s],{s,0,x}]

(note use of = , not := , so that the integration is done at this stage
and not for every sample point in the plotting below)

Plot[h[x]/.{tau ->2, mu->3},{x,0,5}] -- 
Allan Hayes
Training and Consulting
Leicester, UK
voice: +44 (0)116 271 4198
fax: +44 (0)116 271 8642

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