h₁ [n] h₂[n] = = (n + 4)u[n +3]u[−n − 1] (-n + 4)u[-n +4]u[n] (i) Draw the impulse responses hi[n] and h₂[n]. (ii) Consider now a new discrete-time LTI system as the parallel connection of hi[n] and h₂[n]. Obtain the impulse response h[n] of this new system and draw it.

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1) Draw the impulse responses h1[n] and h2[n].

2) Consider now a new discrete-time LTI system as the parallel connection of
 h1[n] and h2[n]. Obtain the impulse response h[n] of this new system and
 draw it. 

a) Consider two discrete-time LTI systems with impulse responses
hi[n]
h₂[n]
=
=
(n + 4)u[n +3]u[-n − 1]
(−n + 4)u[−n + 4]u[n]
(i) Draw the impulse responses hi[n] and h₂[n].
(ii)
Consider now a new discrete-time LTI system as the parallel connection of
hi[n] and h₂[n]. Obtain the impulse response h[n] of this new system and
draw it.
Transcribed Image Text:a) Consider two discrete-time LTI systems with impulse responses hi[n] h₂[n] = = (n + 4)u[n +3]u[-n − 1] (−n + 4)u[−n + 4]u[n] (i) Draw the impulse responses hi[n] and h₂[n]. (ii) Consider now a new discrete-time LTI system as the parallel connection of hi[n] and h₂[n]. Obtain the impulse response h[n] of this new system and draw it.
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