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MathGroup Archive 1998

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Re: Convolution


  • To: mathgroup@smc.vnet.net
  • Subject: [mg10952] Re: Convolution
  • From: Paul Abbott <paul@physics.uwa.edu.au>
  • Date: Sat, 14 Feb 1998 00:53:24 -0500
  • Organization: University of Western Australia
  • 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?

Is the following what you want?

In[1]:= f[x_, tau_:1] := tau*Exp[-x] In[2]:= g[x_, mu_:1] := mu*x^2
In[3]:= Plot[f[g[x]], {x, 0, 1}]; 

or do you mean Convolution in the Fourier sense?

I took the liberty of declaring tau and mu with default values (rather
than using a global assignment or a substitution rule).

Cheers,
	Paul 

____________________________________________________________________ 
Paul Abbott                                   Phone: +61-8-9380-2734
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http://www.pd.uwa.edu.au/~paul

            God IS a weakly left-handed dice player
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