A causal LTIsystem has the foilowing system function 4+0.25--05-2 d-025:-1 05-1 (a) What is the ROCfor H(-? (b) Determine if the systenmis stable or nol. (e) Determine the difference equation that is satisfied by the input x(] and the output (4) Usc a parnial fraction expansion to determinc the impulse reponse afe) (e) Find Y, the z-transform of the output, when the input is x(a]=a[--1 Be sure lo specify the ROC for Ye). (D Fnd the oulpul scquence ytelwhen the input is xla] = (-a-1.

Introductory Circuit Analysis (13th Edition)
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A causal LTI system has the following system function
4+0.25-0s;-
(s) What is he ROCfor H(er
(b) Determine if the system is sahle or nol.
(c) Determine the difference equation that is satisfied by the input ain] and the ourput
(4) Use a partial fraction expansion to determine the impulse response ae]
(e) Find YC), the z-transform of the output, when the input is a(a]=f-4-|| Be sure
lo specify the ROC for Y(2),
(D Find the ouiput scqueace yMel when the input is x(n]= w--1
Transcribed Image Text:A causal LTI system has the following system function 4+0.25-0s;- (s) What is he ROCfor H(er (b) Determine if the system is sahle or nol. (c) Determine the difference equation that is satisfied by the input ain] and the ourput (4) Use a partial fraction expansion to determine the impulse response ae] (e) Find YC), the z-transform of the output, when the input is a(a]=f-4-|| Be sure lo specify the ROC for Y(2), (D Find the ouiput scqueace yMel when the input is x(n]= w--1
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