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MathGroup Archive 2004

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Re: Problem with function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48321] Re: Problem with function
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Mon, 24 May 2004 00:45:16 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 5/23/04 at 6:15 AM, djkapi at poczta.onet.pl (DJkapi) wrote:

>How to compute in Mathematica  fourier transform  of function:

>t     ,0=< t =<1
>g(t)= 1.5-0.5t , 1< t =<3

>to tell the truth i dont even know how to make Mathematica print
>that function.

Use UnitStep to define g i.e.,

g = t(UnitStep[t] - UnitStep[t - 1]) + 
     (1.5 - .5 t)(UnitStep[t - 1] - UnitStep[t - 3])
     
then you can do

Plot[g, {t,-1,4}, PlotRange->All];

to plot the function and

FourierTransform[g, t, w] to get the Fourier transform
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