(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.

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