An LTI system having transfer function s2+1/s2+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 ws<2
D. Y is zero for ws>2 but non zero for ws<2
Answer:A
An LTI system having transfer function s2+1/s2+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 ws<2 D. Y is zero for ws>2 but non zero for ws<2
Explanation: x (t) =sin (t+1)