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Re: FFT of the piecewise step function

• To: mathgroup at smc.vnet.net
• Subject: [mg77815] Re: FFT of the piecewise step function
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Sun, 17 Jun 2007 06:10:31 -0400 (EDT)
• Organization: The Open University, Milton Keynes, UK
• References: <f504ak$q0d$1@smc.vnet.net>

Peng Yu wrote:
> Hi,
> 
> mask[x_] := UnitStep[-(x - 1/2)(x + 1/2)(x - 3/2)(x + 3/2)]
> freq[ù_] := FourierTransform[mask[t], t, ù]
> 
> The solution of freq includes several DiracDelta functions, which
> should cancel out.
> 
> I'm wondering if there is anyway to make mathematica cancel them out.
> 
> Thanks,
> Peng
> 

Without more detail, I would advice to try *FullSimplify*.

Regards,
Jean-Marc