When the input to an LTI system is x[n] =(1/3) n u[n] + (2) n u[n
Question:
When the input to an LTI system is
x[n] =(1/3)n u[n] + (2)n u[–n – 1],
the corresponding output is
y[n] = 5(1/3)n u[n] – 5(2/3)n u[n].
(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.
(d) Is the system stable? Is it causal?
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Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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