3.8. The system function of a causal linear time-invariant system is H(z) = 1-z-1 1+/-1* The input to this system is x[n] = (})″ u[n] + u[−n − 1]. - (a) Find the impulse response of the system, h[n]. (b) Find the output y[n]. (c) Is the system stable? That is, is h[n] absolutely summable?
3.8. The system function of a causal linear time-invariant system is H(z) = 1-z-1 1+/-1* The input to this system is x[n] = (})″ u[n] + u[−n − 1]. - (a) Find the impulse response of the system, h[n]. (b) Find the output y[n]. (c) Is the system stable? That is, is h[n] absolutely summable?
Introductory Circuit Analysis (13th Edition)
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![3.8. The system function of a causal linear time-invariant system is
H(z) =
1-z-1
1+/-1*
The input to this system is
x[n] = (})″ u[n] + u[−n − 1].
-
(a) Find the impulse response of the system, h[n].
(b) Find the output y[n].
(c) Is the system stable? That is, is h[n] absolutely summable?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff48ed50b-2b46-4ef7-b41f-f3bbfb8360e1%2Feaefedf6-988f-4d18-8160-4f889fff4362%2Fz0lmvm7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.8. The system function of a causal linear time-invariant system is
H(z) =
1-z-1
1+/-1*
The input to this system is
x[n] = (})″ u[n] + u[−n − 1].
-
(a) Find the impulse response of the system, h[n].
(b) Find the output y[n].
(c) Is the system stable? That is, is h[n] absolutely summable?
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