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MathGroup Archive 2001

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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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