Consider a linear time-invariant discrete-time system for which the input x[n] and output y[n] are related by

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Consider a linear time-invariant discrete-time system for which the input x[n] and output y[n] are related by the second-order difference equation

y[n ? 1] + 1/3 y[n ? 2] = x[n].

?From the following list, choose two possible impulse responses for the system:

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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