engineering recuitment GATE EE 2023-24 Test Series Signals and Systems Linear Time Invariant Systems
The input x(t) and the corresponding output y(t) of a linear time-invariant (LTI) system are
x(t) = u(t) – u(t – 1) and y(t) = r(t) – 2r(t – 1) + r(t – 2)
The output y1(t) for the input x1(t) = u(t) – u(t – 1) – u(t – 2) + u(t – 3) is1
r(t) – r(t – 1) + 2r(t – 3) – r(t – 4)
2
r(t) – r(t – 1) + 2r(t – 2) – r(t – 4)
3
r(t) – 2r(t – 1) + r(t – 3) – r(t – 4)
4
r(t) – 2r(t – 1) + 2r(t – 3) – r(t – 4)