Question: Consider a stable linear time-invariant system with input x[n] and output y[n]. The input and output satisfy the difference equation, y[n 1] 10/3

Consider a stable linear time-invariant system with input x[n] and output y[n]. The input and output satisfy the difference equation, 

y[n – 1] – 10/3 y[n] + y[n + 1] = x[n].

(a) Plot the poles and zeros in the z-plane.

(b) Find the impulse response h[n]

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