(1+0.2.z")(1-9.z 1+0.81.z2 1. A discrete-time causal LTI system has the system function H(z)%= (20%) (1) Is the system stable? (2) Find expressions for a minimum-phase system H,(z) and an all-pole system H(z) such that ар H(z)= H,(Z)·H„(z).

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(1+0.2.z)(1-9·z²)
1+0.81 z
1. A discrete-time causal LTI system has the system function H(z)=
(20%)
-2
(1) Is the system stable?
(2) Find expressions for a minimum-phase system H,(z) and an all-pole system H ,(z) such that
H(z)= H,(Z)·Hp (z).
Transcribed Image Text:(1+0.2.z)(1-9·z²) 1+0.81 z 1. A discrete-time causal LTI system has the system function H(z)= (20%) -2 (1) Is the system stable? (2) Find expressions for a minimum-phase system H,(z) and an all-pole system H ,(z) such that H(z)= H,(Z)·Hp (z).
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