Fourier Transform Bug
- To: mathgroup at smc.vnet.net
- Subject: [mg63604] Fourier Transform Bug
- From: "irchans" <infinitgames at yahoo.com>
- Date: Sat, 7 Jan 2006 02:29:27 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
The fourier transform for mathematica version 5.0 does not seem get the
correct result when using FourierParameters with the product of x and
Exp[-x^2]. According to the documentation, the following ratio should
always be 1/ Sqrt[2 Pi].
checkratio[f_] := FourierTransform[ f[x], x, y, FourierParameters ->
{0, -2 Pi}]/
FourierTransform[ f[x], x, y, FourierParameters -> {1, -2 Pi}];
In fact, the following expressions correctly evaluate to 1/ Sqrt[ 2
Pi]:
checkratio[# &]
checkratio[#^2 &]
checkratio[Exp[-#^2] & ]
checkratio[DiracDelta]
But,
checkratio[#*Exp[-#^2] & ]
evaluates to 1/ 2/Pi which is incorrect. Can anyone else repoduce this
bug?
- Follow-Ups:
- Re: Fourier Transform Bug
- From: Pratik Desai <pdesai1@umbc.edu>
- Re: Fourier Transform Bug