Question: Find an (N) th-order AR approximation for the ARMA system [H(z)=frac{left(1-0.8 z^{-1} ight)left(1-0.9 z^{-1} ight)}{left(1-0.5 z^{-1} ight)left(1+0.5 z^{-1} ight)}] and compare the resulting magnitude response

Find an \(N\) th-order AR approximation for the ARMA system

\[H(z)=\frac{\left(1-0.8 z^{-1}\right)\left(1-0.9 z^{-1}\right)}{\left(1-0.5 z^{-1}\right)\left(1+0.5 z^{-1}\right)}\]

and compare the resulting magnitude response with the original ARMA system.

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