Question: (a) Find an (M) th-order MA approximation for the ARMA system given in Example 7.3. (b) Use the roots command in MATLAB to determine the

(a) Find an \(M\) th-order MA approximation for the ARMA system given in Example 7.3.

(b) Use the roots command in MATLAB to determine the zero locations of the MA approximation for \(M=1,2,3,4\).

(c) Find the MA impulse response for each value of \(M\) 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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