3.16. When the input to an LTI system is x[n] = ) uln] + (2)"u[-n –1). %3D the corresponding output is yln] = 5 ) u[n] – 5 (a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) of H(z) and

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Electrical Engineering - Digital signal Processing
3.16. When the input to an LTI system is
= [u]x
G) uln] + (2)"u[-n – 1],
the corresponding output is
y[n] = 5
A uln] – 5
(a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) of H(z) and
indicate the region of convergence.
(b) Find the impulse response h[n] of the system.
(c) Write a difference equation that is satisfied by the given input and output.
Transcribed Image Text:3.16. When the input to an LTI system is = [u]x G) uln] + (2)"u[-n – 1], the corresponding output is y[n] = 5 A uln] – 5 (a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) of H(z) and indicate the region of convergence. (b) Find the impulse response h[n] of the system. (c) Write a difference equation that is satisfied by the given input and output.
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