The input to a causal LTI system is x[n] = u[-n – 1]+ G) «In). The z-transform of the output of this system is Y(2) = (1– 4-1) (1 + =-') (a) Determine H(2), the z-transform of the system impulse response. Be sure to specify the ROC. (b) What is the ROC for Y(z)? (c) Determine y[n].

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The input to a causal LTI system is
x[n] = u[-n – 1]+ G) «In).
The z-transform of the output of this system is
Y(2) =
(1– 4-1) (1 + =-')
(a) Determine H(2), the z-transform of the system impulse response. Be sure to specify
the ROC.
(b) What is the ROC for Y(z)?
(c) Determine y[n].
Transcribed Image Text:The input to a causal LTI system is x[n] = u[-n – 1]+ G) «In). The z-transform of the output of this system is Y(2) = (1– 4-1) (1 + =-') (a) Determine H(2), the z-transform of the system impulse response. Be sure to specify the ROC. (b) What is the ROC for Y(z)? (c) Determine y[n].
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