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Signals and Systems - Engineering

Q1:

For the discrete time system of the given figure

A yk = 0.5 uk - 2 - uk - 0.25 yk - 1

B yk = 0.5 uk - 1 - uk - 0.25 yk - 1

C yk = 0.5 uk - uk - 1 - 0.25 yk - 1

D yk = 0.5 uk - 1 - uk - 1 - 0.25 yk - 1

ANS:A - yk = 0.5 uk - 2 - uk - 0.25 yk - 1

uk has two unit delays and a mltiplier of 0.5, yk has a unit delay and a muliplier of 0.25 .