For the discrete time system of the given figure yk - 0.5 yk - 1 - 0.25 yk - 2 =

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Question
For the discrete time system of the given figure
Options
A. y_k - 0.5 y_k_{- 1} - 0.25 y_k_{- 2} = u_k
B. y_k + 0.5 y_k_{- 1} - 0.25 y_k_{- 2} = u_k
C. y_k - 0.5 y_k_{- 1} + 0.25 y_k_{- 2} = u_k
D. y_k + 0.5 y_k_{- 1} + 0.25 y_k_{- 2} = u_k

Correct Answer

y_k - 0.5 y_k_{- 1} + 0.25 y_k_{- 2} = u_k

Explanation

u_k + 0.5 y_{k - 1} - 0.25 y_{k - 2} = y_k.

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