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MathGroup Archive 2007

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Re: FourierTransform help

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72892] Re: FourierTransform help
  • From: "dimitris" <dimmechan at yahoo.com>
  • Date: Wed, 24 Jan 2007 06:10:26 -0500 (EST)
  • References: <ep4k9c$qfu$1@smc.vnet.net>

Use Set instead of SetDelayed

s[t_] = Cos[t]*Exp[-t^2];
Timing[FourierTransform[s[t], t, w]]
Plot[Abs[%[[2]]], {w, -3, 3}]

{2.969*Second, Cosh[(1/4)*(-1 + w)^2]/(2*Sqrt[2]) + Cosh[(1/4)*(1 +
w)^2]/(2*Sqrt[2]) - Sinh[(1/4)*(-1 + w)^2]/(2*Sqrt[2]) -
   Sinh[(1/4)*(1 + w)^2]/(2*Sqrt[2])}
(*plot to be displayed*)

Execute the following command for more information

FrontEndExecute[{HelpBrowserLookup["MainBook", "2.5.8"]}]

Dimitris

rob wrote:
> I can't seem to plot the result of what I would think would
> be a simple transform. The following code at least attempts
> to run with no errors but it doesn't seem to stop. I plan to
> let it run all night. But surely one of you wizards knows a
> way to get this to output a result quickly. If so, I would
> appreciate your help.
>
>
> s[t_] := Cos[t] Exp[-t^2]
> 
> Plot[Abs[Evaluate[FourierTransform[s[t], t, Ï?]]], {Ï?, -3,3}]


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