GATE EE 2016 Set 1 | GATE EE Year Wise Previous Years Questions

GATE EE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

The output of a continuous-time, linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)}= yz(t), where $$\gamma$$ is a complex number, in general, and is called an eigen value of T. suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?

cos(t) is and eigen-signal but sin(t) is not

cos(t) is and sin(t) are both eigen-signal but with different eigen values

sin(t) is an eigen-signal but cos(t) is not

cos(t) and sin(t) are both eigen-signal with identical eigen values

GATE EE Papers

2023