An LTI system having transfer function and input x(t) = sin (t + 1) is in steady state. The output is sampled at a rate œâs rad/s to obtain the final output {y(k)}. Which of the following is true?

y(.) is nonzero for all sampling frequencies œâs

y(.) is zero for all sampling frequencies œâs

y(.) is nonzero for œâs > 2, but zero for œâs > 2

y(.) is zero for œâs > 2 but nonzero for œâs > 2

An LTI system having transfer function and input x(t) = sin (t + 1) i

1.	An LTI system having transfer function and input x(t) = sin (t + 1) is in steady state. The output is sampled at a rate œâs rad/s to obtain the final output {y(k)}. Which of the following is true?
A.	y(.) is zero for all sampling frequencies œâs
B.	y(.) is nonzero for all sampling frequencies œâs
C.	y(.) is nonzero for œâs > 2, but zero for œâs > 2
D.	y(.) is zero for œâs > 2 but nonzero for œâs > 2
Answer» B. y(.) is nonzero for all sampling frequencies œâs