Question: A causal linear time-invariant discrete-time system has system function and impulse response h 1 [n]. (a) Is S 1 causal? Explain. (b) Let g[n] =

A causal linear time-invariant discrete-time system has system function

(1 0.5z-1)(1+4z-2) H(2) (1 0.64z-2) %3D

and impulse response h₁[n].

(a) Is S₁ causal? Explain.

(b) Let g[n] = h₁[n] * h₂[n]. Specify an h₂[n] such that g[n] has at least nine nonzero samples and g[n] can be considered the impulse response of a causal LTI system with strictly linear phase; i.e., G(e^?j?) = |G(e^?j?)|e^{? j?n0?}for some integer n₀.

q[n] = ?[n] ? ? ? ?for 0 ? n ? 19.

(1 0.5z-1)(1+4z-2) H(2) (1 0.64z-2) %3D

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