1.

An LTI system having transfer function s^2+1/s^2+2s+1 and input x(t) =sin(t+1) is in steady state.The output is sampled at ws rad/s to obtain the final output {y (k)}. Which of the following is true?(a) Y is zero for all sampling frequencies ws(b) Y is non zero for all sampling frequencies ws(c) Y is non zero for ws>2 but zero for ws2 but non zero for ws

Answer»

The CORRECT OPTION is (a) Y is zero for all sampling frequencies ws

To explain I would SAY: X (t) =sin (t+1)

w = 1 rad/s

X(s) = e^s/s^2+1

Y(s) = e^s/s^2+2s+1

Y (∞) =0.


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