Question: (a) Use the MATLAB command roots to determine the pole locations of the AR approximation, using (N=1,2,3,4), for the ARMA system given in Example 7.3.

(a) Use the MATLAB command roots to determine the pole locations of the AR approximation, using $N=1,2,3,4$, for the ARMA system given in Example 7.3.

(b) Find the AR impulse response for each value of $N$ in the previous item and compare your results with the impulse response of the original ARMA system.

Example 7.3. Approximate the ARMA system 1+0.32-1 H(z) = = (7.47) 1

Example 7.3. Approximate the ARMA system 1+0.32-1 H(z) = = (7.47) 1 0.92- by an Nth-order AR model.

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