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2. a) Find z-transform Y[z] for a digital system with response y[k]: y[k]y[k 1] + 0.8k, k = [0, ∞] b) Using the long-division method, find the values y[k] for Z Y(z) = 2²-32 +2 3z for k=0 to 4. c) Discuss the stability of the systems in a) and b). [3] [3] [2]
2. a) Find z-transform Y[z] for a digital system with response y[k]: y[k]y[k 1] + 0.8k, k = [0, ∞] b) Using the long-div
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2. a) Find z-transform Y[z] for a digital system with response y[k]: y[k]y[k 1] + 0.8k, k = [0, ∞] b) Using the long-div
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