Electrical Engineering > GATE 2016 SET-1 > LTI Systems
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)} = γz(t), where γ is a complex number, in general, and is called an eigenvalue of T. Suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?
A
cos(t) is an eigen-signal but sin(t) is not
B
cos(t) and sin(t) are both eigen-signals but with different eigenvalues
C
sin(t) is an eigen-signal but cos(t) is not
D
cos(t) and sin(t) are both eigen-signals with identical eigenvalues

Correct : d

Similar Questions

Two discrete-time linear time-invariant systems with impulse responses h1[n]=δ[n-1]+δ[n+1] and h2[n]=δ[n]+δ[n-1] are connected in cascade, where δ[n] is the Kro...
#228 MCQ
A continuous-time input signal x(t) is an eigenfunction of an LTI system, if the output is
#379 MCQ
Let a causal LTI system be governed by the following differential equation y(t) + (1/4)dy/dt = 2x(t), where x(t) and y(t) are the input and output respectively....
#480 MCQ

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: