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Nov 26th, 2014
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  1. clc;
  2. clear all;
  3. var_eps = 1;
  4. epsilon = sqrt(var_eps)*randn(5000,1); % Gaussian signal exciting the AR model
  5.  
  6. Y(1) = 0.0;
  7. Y(2) = 0.0;
  8. for n= 3:5000
  9. Y(n)= 0.1950*Y(n-1) -0.9500*Y(n-2)+ epsilon(n); %AR(2) model
  10. end
  11.  
  12. y_tminus1 = Y(1:end-1).';
  13. mult = y_tminus1*y_tminus1'; %This creates a square matrix
  14. autocorr = xcorr2(mult); %To perform autocorrelation of 1 sampled lag time series with itself(1 sampled lag)
  15. inverse_autocorr = inv(autocorr); **%PROBLEM**
  16.  
  17.  
  18. %Warning: Matrix is singular to working precision.
  19. trace_inv=trace(inverse_autocorr);
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