Mercurial > hg > ltpda
diff m-toolbox/classes/+utils/@math/freqCorr.m @ 0:f0afece42f48
Import.
author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Wed, 23 Nov 2011 19:22:13 +0100 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/m-toolbox/classes/+utils/@math/freqCorr.m Wed Nov 23 19:22:13 2011 +0100 @@ -0,0 +1,47 @@ +% FREQCORR Compute correlation between frequency bins +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FREQCORR Compute correlation between frequency bins of a spectral +% estimation given the data window +% +% CALL +% +% Gf = utils.math.freqCorr(w,eta,T) +% +% INPUT +% +% - w, window samples, Nx1 double, N must be the effective length of the +% segments used for spectral estimation. E.g. For a periodogram N is equal +% to the length of the data series. For a WOSA estimation N is the length +% of each averaging segment. +% - eta, frequency lag in Hz, 1x1 double +% - T, sampling time in seconds, 1x1 double +% +% REFERENCES +% +% D. B. Percival and A. T. Walden, Spectral Analysis for Physical +% Applications (Cambridge University Press, Cambridge, 1993) p 231. +% +% L Ferraioli 09-03-2011 +% +% $Id: freqCorr.m,v 1.1 2011/03/28 16:37:23 luigi Exp $ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function R = freqCorr(w,eta,T) + + Ns = numel(w); + % willing to work with columns + [nn,mm] = size(w); + if nn<mm + w = w.'; + end + % make suqre integrable + a = sqrt(sum(w.^2)); + w = w./a; + + t = 1:Ns; + + ww = w.*w; + hh = exp(-1i.*2.*pi.*t.*T.*eta)*ww; + R = abs(hh)^2; + + +end \ No newline at end of file