Question: Consider the z-transform Assume first that ? 0 ? 0. (a) Draw a labeled pole-zero diagram and determine h[n]. (b) Repeat part (a) when ?

Consider the z-transform

H(z) : Izl > r. 1- (2r cos wo)z- +r?z-2

Assume first that ?0 ? 0.

(a) Draw a labeled pole-zero diagram and determine h[n].

(b) Repeat part (a) when ?0 = 0. This is known as a critically damped system.

H(z) : Izl > r. 1- (2r cos wo)z- +r?z-2

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