       Re: normalizationFourier[]

• To: mathgroup at smc.vnet.net
• Subject: [mg32004] Re: normalizationFourier[]
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Mon, 17 Dec 2001 06:01:36 -0500 (EST)
• Organization: Universitaet Leipzig
• References: <9vchg0\$3mg\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Hi,

does anyone read the the manual ?
This comes from my on-line help for Fourier[]:

- Different choices of definitions can be specified using the option
FourierParameters.
- With the setting FourierParameters -> {a, b} the discrete Fourier
transform computed
by Fourier is \!\(\*FormBox[
RowBox[{\(1\/n\^\(\((1 - a)\)/2\)\),
UnderoverscriptBox["\[Sum]", \(r = 1\), "n",
LimitsPositioning->
True], \(u\_r\), \(e\^\(2  \[Pi]
i \( b(r - 1)\) \((s - 1)\)/n\)\)}], TraditionalForm]\).
- Some common choices for {a, b} are {0, 1} (default), {-1, 1} (data
analysis), {1, -1} (signal processing).

Regards
Jens

Peter Buttgereit wrote:
>
> Dear All,
>
> does anybody details of the normalization used in Fourier[]?
>
> TIA & KR,
>
> Peter

```

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