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 h 1 n h 2 n Specify an h 2 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 l...

a b c Yes By the region of convergenc ...

A causal linear time-invariant discrete-time system has system function and impulse response h 1 [n]. (a) Is

Question:

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

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.