When the input to a linear time-invariant system is x [n] = 5u[n], the output is y[n]

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When the input to a linear time-invariant system is

x [n] = 5u[n],

the output is

y[n] = [2 (½)ⁿ+ 3 (– ¾)ⁿ] u[n].

(a) Find the system function H(z) of the system. Plot the poles and zeros of H(z), and indicate the region of convergence.

(b) Find the impulse response of the system for all values of n.

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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Question Posted: May 26, 2011 02:56 AM

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When the input to a linear time-invariant system is x [n] = 5u[n], the output is y[n]

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Discrete Time Signal Processing

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