Consider the digital filter structure shown in Figure P10.59. k 3 k 4 Figure P1 0.59 (a)

Chapter 10, Problem 10.59

(choose chapter or problem)

Consider the digital filter structure shown in Figure P10.59. k 3 k 4 Figure P1 0.59 (a) Find H(z) for this causal filter. Plot the pole-zero pattern and indicate theregion of convergence. (b) For what values of the k is the system stable? (c) Determine y[n] if k = 1 and x[n] = (2/3)n for all n.

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