% 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