#The following matlab code was used in order to generate the below-appended spectrum:
#
#ts = load('tseries12.txt');
#
#ts0 = ts(2,:) + ts(1,:)*j;
#ts1 = ts(1,:) + ts(2,:)*j;
#
#NFFT = 256;
#Fs = 1.0;
#noverlap = NFFT/2;
#
#window = hann(NFFT);
#
#[fxx2, f] = cpsd(ts0, ts0, window, noverlap, NFFT, Fs); 
#
#save('fxx_matlab.txt','fxx2','-ascii');
#
   1.7654246e-03
   1.1492441e-03
   5.8788719e-03
   4.2103294e-01
   7.4144491e-01
   1.7962983e+01
   6.8128282e+01
   2.7711577e+02
   5.1916900e+02
   3.0933498e+02
   1.0069482e+02
   3.9385955e+01
   1.2947315e+02
   2.1792251e+01
   2.9336587e+01
   3.3755918e+02
   3.2006312e+02
   2.0049806e+01
   2.2022508e+01
   4.8539417e+01
   3.5416268e+01
   3.3576585e+01
   1.2599510e-01
   6.6601568e+01
   2.3381563e+00
   9.2171204e+01
   7.1808318e+01
   7.8451191e+01
   1.4231709e+02
   3.8702857e+01
   4.1663679e+01
   2.5615925e+01
   4.4953235e+01
   8.6807426e+01
   1.2186208e+02
   2.3688979e+01
   2.8500929e+01
   5.1984473e+01
   2.9623833e+01
   3.3401207e+01
   3.3723000e+01
   2.7266268e+01
   5.0214385e+01
   7.8990853e+01
   1.2171014e+02
   9.8137981e+01
   6.2261634e+01
   3.2089776e+01
   1.6680389e+01
   5.2535876e+01
   9.0029674e+00
   9.8189323e+00
   1.1415089e+00
   1.2688202e+01
   3.6944522e+00
   3.9703874e+00
   2.4638979e+01
   3.9916018e+01
   2.7712482e+01
   2.1035053e+01
   1.3533799e+01
   2.0815335e+01
   3.8198637e+00
   6.1118412e+00
   2.9890981e+01
   2.9493712e+01
   3.3342526e+01
   1.9781894e+01
   1.4683159e+00
   1.8278228e+00
   2.3832255e+00
   1.0902860e+01
   8.4935496e+00
   1.3940461e+01
   2.1258691e+01
   5.2836512e+00
   1.9290513e-01
   1.3116000e+00
   2.4208421e-01
   2.1472107e-04
   2.8607214e-04
   3.9513934e-05
   9.3881246e-06
   2.6760970e-05
   5.5421596e-06
   1.7482081e-06
   3.2518374e-06
   4.0744870e-07
   2.2579537e-06
   1.7207698e-06
   9.0388675e-06
   3.0656789e-06
   3.1847913e-06
   2.6940182e-06
   2.0645832e-06
   2.4857393e-06
   6.7239238e-08
   5.7419415e-07
   7.7792638e-07
   1.5322241e-06
   3.2779094e-07
   2.3751701e-07
   2.3714489e-07
   6.0051700e-07
   8.4290402e-07
   2.9033865e-07
   2.1013033e-07
   1.2565078e-07
   1.0390476e-07
   1.9778370e-07
   1.0084400e-06
   7.3816816e-07
   6.4644187e-07
   8.3616168e-07
   1.5702788e-07
   1.9178959e-07
   5.3846004e-07
   2.5552464e-07
   1.7828864e-07
   2.4964866e-07
   6.4572149e-07
   2.4151196e-06
   1.7692354e-06
   3.6388530e-07
   1.0063135e-06
   6.7522380e-07
   6.4322286e-07
   1.1248587e-06
   1.1158244e-06
   7.0900181e-07
   3.6993239e-07
   1.0256606e-06
   1.1056010e-06
   4.6590590e-07
   1.5879864e-07
   2.9491815e-07
   3.7965864e-07
   5.9892527e-07
   9.9665194e-07
   6.5050711e-07
   3.7550496e-07
   1.4595081e-06
   1.8519679e-06
   5.9725982e-07
   3.2513441e-07
   2.7043689e-07
   1.6645980e-06
   2.1919728e-06
   5.2856519e-07
   1.1751143e-07
   2.2359990e-07
   5.2988374e-07
   1.6256828e-06
   1.7359965e-07
   8.2977886e-07
   2.0599250e-06
   1.9608680e-07
   5.0420106e-07
   1.3774834e-06
   1.7156641e-07
   1.9973442e-07
   1.2702202e-06
   2.6703938e-06
   1.2892430e-06
   3.9131389e-06
   1.2631043e-06
   5.1898612e-06
   2.2315416e-06
   7.0021123e-06
   1.8286103e-07
   1.9847163e-06
   8.2320762e-06
   1.6967282e-06
   3.9942142e-05
   3.0295721e-05
   3.8751772e-05
   2.6070714e-04
   1.4043792e-03
   1.0325225e-01
   1.0590688e+00
   1.0899928e+00
   4.3707907e+00
   7.9999389e+00
   3.0784479e+00
   7.1552796e-01
   5.9442457e+00
   7.4610440e+00
   1.7480318e-01
   3.7206216e+00
   1.3481982e+00
   3.0004556e+01
   5.5009933e+01
   5.6502886e+01
   1.2809927e+01
   1.3551770e+00
   1.1648204e+01
   3.1529357e+01
   3.5251865e+01
   3.5784678e+01
   5.9787918e+01
   4.0179642e+00
   4.4470840e+00
   2.5106790e+01
   6.3689960e+01
   1.3868797e+01
   5.3911256e+01
   7.1236237e+01
   1.2307196e+02
   3.5710599e+01
   1.1618900e+01
   5.1899417e+00
   1.5430489e+01
   4.9816033e+01
   4.3687115e+01
   1.1045961e+02
   2.2464404e+01
   1.2440765e+01
   2.3457434e+01
   1.6257755e+00
   1.1418644e+01
   1.3478757e+01
   4.8011036e+01
   8.5382189e+01
   3.9829827e+01
   4.6229399e+01
   8.6572339e+01
   1.1026585e+02
   4.4502587e+01
   2.2242312e+02
   8.4843175e+01
   2.5990945e+01
   1.1034332e+02
   3.4941104e+01
   1.9507354e+01
   2.5468196e+01
   4.9971805e+01
   1.0926816e+00
   4.8803550e+01
   1.0308630e+02
   8.2420133e+00
   3.2147678e+02
   5.1213150e+02
   1.1510788e+02
   6.6354470e+00
   2.2845551e+02
   2.6769109e+02
   1.0519696e+02
   2.1181061e+02
   1.9488878e+02
   6.7407813e+01
   2.1809094e+01
   1.7730830e+01
   3.7164897e-01
   2.6534439e-01
   6.2457500e-03
   1.2568989e-03
