(a) (b) Given a discrete-time signal x[n] as: n x[n] = (u[n + 1] - (3)¹u[_n − 1] Determine the z-transform of the signal and its region of convergence. The transfer function H(z) of a causal LTI system is given by 1-z-1 8 1 152-1+ 15 H(z)= = 1-

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QUESTION 6.
(a)
(b)
Given a discrete-time signal x[n] as:
x[n] = (3) u[n + 1] − (3)¹u[-n − 1]
Determine the z-transform of the signal and its region of convergence.
The transfer function H(z) of a causal LTI system is given by
1-z-¹
H(z) =
1-
8
152-¹+
152-2
Determine the difference equation that describes this system.
Transcribed Image Text:QUESTION 6. (a) (b) Given a discrete-time signal x[n] as: x[n] = (3) u[n + 1] − (3)¹u[-n − 1] Determine the z-transform of the signal and its region of convergence. The transfer function H(z) of a causal LTI system is given by 1-z-¹ H(z) = 1- 8 152-¹+ 152-2 Determine the difference equation that describes this system.
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