diff m-toolbox/test/test_ao_lscov.m @ 0:f0afece42f48

Import.
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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+++ b/m-toolbox/test/test_ao_lscov.m	Wed Nov 23 19:22:13 2011 +0100
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+% TEST_AO_LSCOV tests the lscov method of the AO class.
+%
+% M Hueller 19-03-10
+%
+% $Id: test_ao_lscov.m,v 1.7 2010/03/19 11:25:36 mauro Exp $
+%
+% function test_ao_lscov()
+
+%% 1) Determine the coefficients of a linear combination of noises:
+%
+% Make some data
+fs    = 10;
+nsecs = 10;
+B1 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'T'));
+B2 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'T'));
+B3 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'T'));
+n  = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'm'));
+c = [ao(1,plist('yunits','m/T')) ao(2,plist('yunits','m/T')) ao(3,plist('yunits','m T^-1'))];
+y = c(1)*B1 + c(2)*B2 + c(3)*B3 + n;
+y.simplifyYunits;
+% Get a fit for c
+p_s = lscov(B1, B2, B3, y);
+% do linear combination: using lincom
+yfit1 = lincom(B1, B2, B3, p_s);
+yfit1.simplifyYunits;
+% do linear combination: using eval
+yfit2 = p_s.eval(B1, B2, B3);
+
+% Plot (compare data with fit)
+iplot(y, yfit1, yfit2, plist('Linestyles', {'-','--'}))
+
+%% 2) Determine the coefficients of a linear combination of noises:
+%
+% Make some data
+fs    = 10;
+nsecs = 10;
+x1 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'T'));
+x2 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'm'));
+x3 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'C'));
+n  = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', nsecs, 'yunits', 'm'));
+c = [ao(1,plist('yunits','m/T')) ao(2,plist('yunits','m/m')) ao(3,plist('yunits','m C^-1'))];
+y = c(1)*x1 + c(2)*x2 + c(3)*x3 + n;
+y.simplifyYunits;
+% Get a fit for c
+p_m = lscov(x1, x2, x3, y);
+% do linear combination: using lincom
+yfit1 = lincom(x1, x2, x3, p_m);
+% do linear combination: using eval
+pl_split = plist('times', [1 5]);
+yfit2 = p_m.eval(plist('Xdata', {split(x1, pl_split), split(x2, pl_split), split(x3, pl_split)}));
+% Plot (compare data with fit)
+iplot(y, yfit1, yfit2, plist('Linestyles', {'-','--'}))
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