2. Difference equation of a discrete-time causal (right-sided) LTI system, y (n) (n-1) + 1/8 y (n-2). = 2 x (n) - x (n-1) -1/4 y a) Give the system function H (z) b) Show the zero, poles and ROC in the Z-plane. Is the system stable? Explain. c) Find the impulse response of the system. d) If the system is left-sided, repeat (b) and (c).

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2. Difference equation of a
discrete-time causal (right-sided)
LTI system,
y (n)
(n-1) + 1/8 y (n-2).
= 2 x (n)
- x (n-1) -1/4 y
a) Give the system function H (z)
b) Show the zero, poles and ROC in
the Z-plane. Is the system stable?
Explain.
c) Find the impulse response of the
system.
d) If the system is left-sided,
repeat (b) and (c).
Transcribed Image Text:2. Difference equation of a discrete-time causal (right-sided) LTI system, y (n) (n-1) + 1/8 y (n-2). = 2 x (n) - x (n-1) -1/4 y a) Give the system function H (z) b) Show the zero, poles and ROC in the Z-plane. Is the system stable? Explain. c) Find the impulse response of the system. d) If the system is left-sided, repeat (b) and (c).
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