Input and output signal pairs are listed below for several DTLTI systems. For each case, determine the system function H (2) along with its ROC. Also indicate if the system considered is stable and/or causal. a. b. r[n] = (1/2)" u[n], x[n] = (1/2)" u[n], y[n] =3 (1/2)" u[n]+2 (3/4)" u[n] y[n] = (1/2)+3 u[n+2] + (1/2)+2 u[n+1]

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Input and output signal pairs are listed below for several DTLTI systems. For each
case, determine the system function H (2) along with its ROC. Also indicate if the system
considered is stable and/or causal.
a.
b.
r[n] = (1/2)" u[n],
x[n] = (1/2)" u[n],
y[n] =3 (1/2)" u[n]+2 (3/4)" u[n]
y[n] = (1/2) +3 u[n+2]+(1/2) +2 u[n+1]
Transcribed Image Text:Input and output signal pairs are listed below for several DTLTI systems. For each case, determine the system function H (2) along with its ROC. Also indicate if the system considered is stable and/or causal. a. b. r[n] = (1/2)" u[n], x[n] = (1/2)" u[n], y[n] =3 (1/2)" u[n]+2 (3/4)" u[n] y[n] = (1/2) +3 u[n+2]+(1/2) +2 u[n+1]
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