Re: Convolution
- To: mathgroup@smc.vnet.net
- Subject: [mg10955] Re: Convolution
- From: Allan Hayes <hay@haystack.demon.co.uk>
- Date: Sat, 14 Feb 1998 00:53:26 -0500
- References: <6bumsu$l93@smc.vnet.net>
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)
In[142]:=
Plot[h[x]/.{tau ->2, mu->3},{x,0,5}] --
Allan Hayes
Training and Consulting
Leicester, UK
hay@haystack.demon.co.uk
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