Consider a system for which the input x[n] and output y[n] satisfy the difference equation y[n]
Question:
Consider a system for which the input x[n] and output y[n] satisfy the difference equation
y[n] – ½ y[n – 1] = x[n]
and for which y [–1] is constrained to be zero for every input. Determine whether or not the system is stable. If you conclude that the system is stable, show your reasoning. If you conclude that the system is not stable, give an example of a bounded input that result in an unbounded output.
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The system is not stable any bounded input that excites the zero input res...View the full answer
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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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