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MathGroup Archive 1998

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Power spectrum calculation and fit

  • To: mathgroup at
  • Subject: [mg12704] Power spectrum calculation and fit
  • From: Randy Cutter <cutter at>
  • Date: Wed, 3 Jun 1998 02:20:56 -0400
  • Sender: owner-wri-mathgroup at

If z is a data series, a 1024 record list, will the following code
correctly produce a power spectrum and the least squares fit slope to
the log transformed power spectrum versus the log of the sequence? 
Thanks for any suggestions.  

ftofz1 = Abs[Fourier[z]];

ftofz1 = Take[%, 512];

ftzsq = %^2;

lnftzsq = Log[%];

Fit[lnftzsq, {1, x}, Log[x]]

Randy Cutter
Virginia Institute of Marine Science Route 1208 
Gloucester Point, VA 23062 USA

phone 804 684-7365
fax 804 684-7399 or 7045
email:  cutter at


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