Consider an LTI system with input x[n] and output y[n] for which 5 y[n - 1] - 2 y[n] +
Chapter 10, Problem 10.35(choose chapter or problem)
Consider an LTI system with input x[n] and output y[n] for which 5 y[n - 1] - 2 y[n] + y[n + 1] = x[n]. The system may or may not be stable or causal. By considering the pole-zero pattern associated with the preceding difference equation, determine three possible choices for the unit sample response of the system. Show that each choice satisfies the difference equation.
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