engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Linear Time Invariant Systems Properties of LTI Systems
Consider two signals x(t) = x1(t) + x2(t) and x(n) = x1(n) + x2(n)
x1(t), x2(t) are continuous time signals and x1(n), x2(n) are discrete time signals
Which of the following statements is / are true?
1
If x1(t) and x2(t) are periodic then x(t) is always periodic
2
If x1(t) and x2(t) are periodic then x(t) may or may not be periodic
3
If x1(n) and x2(n) are periodic then x(n) is always periodic
4
If x1(n) and x2(n) are periodic then x(n) may or may not be periodic