If the input x[n] to an LTI system is x[n] = u[n], the output is y[n] =
Question:
If the input x[n] to an LTI system is x[n] = u[n], the output is
y[n] = (1/2)n–1u[n + 1].
(a) Find H(z), the z-transform of the system impulse response, and plot its pole-zero diagram.
(b) Find the impulse response h[n].
(c) Is the system stable?
(d) Is the system 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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