Re: Fourier function...having problems reproducing answers in a paper

• To: mathgroup at smc.vnet.net
• Subject: [mg54060] Re: Fourier function...having problems reproducing answers in a paper
• From: "Mariusz Jankowski" <mjankowski at usm.maine.edu>
• Date: Wed, 9 Feb 2005 09:27:36 -0500 (EST)
• Organization: University of Southern Maine
• References: <cua5b2\$hh8\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Hi, there are several equivalent definitions of the discrete Fourier
transform in the literature. To reproduce the result in your paper use the
FourierParameters option.

Fourier[{.5,0,.4,0,0,.1}, FourierParameters -> {1,-1}]

Regards, Mariusz

>>> elparedblanco<cire1611 at gmail.com> 2/8/2005 5:46:58 AM >>>
Hi there,

I am using the Fourier function on a simple list probability
distribution {.5,0,.4,0,0,.1}.  The paper I'm reading says I should be

{1, .35-.2598i, .25+.433i, .8, .25-.433i, .35+.2598i}.

However this is what Mathematica is returning:

{.408248 + i,  .142887 + .106066i, .102062 - .176777i .326599 + i,
.102062 + .17677i, .142887 - .106066i }

I assume that these are somehow equivilant.  Can some explain how/why?

```

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