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FFT of the piecewise step function

• To: mathgroup at smc.vnet.net
• Subject: [mg77769] FFT of the piecewise step function
• From: "Peng Yu" <pengyu.ut at gmail.com>
• Date: Sat, 16 Jun 2007 03:32:02 -0400 (EDT)

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

• Follow-Ups:
  • Re: FFT of the piecewise step function
    • From: Sseziwa Mukasa <mukasa@jeol.com>