Signals and Systems - ECE Questions and Answers

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For the discrete time system of the given figure

y_k = 0.5 u_{k - 2} - u_k - 0.25 y_k - 1

y_k = 0.5 u_k_{- 1} - u_k - 0.25 y_k - 1

y_k = 0.5 u_k - u_k_{- 1} - 0.25 y_k - 1

y_k = 0.5 u_k_{- 1} - u_k_{- 1} - 0.25 y_k - 1

Answer : Option A

Explanation :

u_k has two unit delays and a mltiplier of 0.5, y_k has a unit delay and a muliplier of 0.25 .

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