1) The following are the impulse responses of discrete-time LTI systems. Determine whether each system is causal and/or stable. Justify your answers. a) h[n] = (})" u[n] b) h[n] = (0.8)"u[n+2] c) h[n] = (;)" u[–n] d) h[n] = (5)"u[3 – n] e) h[n] = (- f) h[n] g) h[n] u/n] + 1.01"u[n – 1] u[n] + 1.01"u[1 – n] u[n – 1] п = n

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1) The following are the impulse responses of discrete-time LTI systems. Determine whether each
system is causal and/or stable. Justify your answers.
a) h[n] = ()" u[n]
b) h[n] = (0.8)"u[n+2]
c) h[n] = (})" u[-n]
d) h[n] = (5)"u[3 – n]
e) h[n) = -{nini + 1.01"u[1 – n]
f) h[n] = (-
g) h[n] = n
n
u/n] + 1.01"u[n – 1]
4/n] + 1.01"u[1 – n]
à ()" u[n – 1]
-
Transcribed Image Text:1) The following are the impulse responses of discrete-time LTI systems. Determine whether each system is causal and/or stable. Justify your answers. a) h[n] = ()" u[n] b) h[n] = (0.8)"u[n+2] c) h[n] = (})" u[-n] d) h[n] = (5)"u[3 – n] e) h[n) = -{nini + 1.01"u[1 – n] f) h[n] = (- g) h[n] = n n u/n] + 1.01"u[n – 1] 4/n] + 1.01"u[1 – n] à ()" u[n – 1] -
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