PROBDIST2D Usage: [P bins] = [P bins] = ProbDist2D(x, nbins); This function calculates the discrete probability distribution for a variable that is in a two dimensional phase space. Because the variable exists in a two dimensional phase space, we have to bin in x^2 (equivalent to dividing P by x). The function simply calculates a normalized histogram using 'hist', so nbins can take any form that hist can take, although it does not allow for all the other hist options.

0001 function [P bins] = ProbDist2D(x, nbins); 0002 0003 %PROBDIST2D 0004 % Usage: [P bins] = [P bins] = ProbDist2D(x, nbins); 0005 % 0006 % This function calculates the discrete probability distribution for a 0007 % variable that is in a two dimensional phase space. Because the variable 0008 % exists in a two dimensional phase space, we have to bin in x^2 0009 % (equivalent to dividing P by x). The function simply calculates a 0010 % normalized histogram using 'hist', so nbins can take any form that hist 0011 % can take, although it does not allow for all the other hist options. 0012 0013 %Written by Dan Valente 0014 %September 2007 0015 0016 [H bins] = hist(x.^2, nbins); 0017 N = sum(sum(H)); 0018 binsize = bins(3)-bins(2); 0019 P = H./(N*binsize); 0020 0021 %now transform bins back to the unsquared locations. This is really only 0022 %for conviencence, by no means is it necessary. If this line is commented 0023 %out, then the plot is simply P vs. x^2 instead of P vs. x 0024 bins = sqrt(bins); 0025 0026 return;

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