Prove that the Fibonacci sequence can be though of as the impulse response of the system described

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Prove that the Fibonacci sequence can be though of as the impulse response of the system described by the difference equation:
y(n) = y(n - 1) + y(n - 2) + y(n - 2) + x(n)
Then determine h(n) using z-transform techniques.
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Digital Signal Processing

ISBN: ?978-0133737622

3rd Edition

Authors: Jonh G. Proakis, Dimitris G.Manolakis

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