The system function of a causal linear time-invariant system is 1- z-1 H(z) = 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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ISBN:9780133923605
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The system function of a causal linear time-invariant system is
H(z) =
1+ -
The input to this system is
x[n] = (})" u[n] + u[-n - 1].
%3D
(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?
Transcribed Image Text:The system function of a causal linear time-invariant system is H(z) = 1+ - The input to this system is x[n] = (})" u[n] + u[-n - 1]. %3D (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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