EC > GATE 2026 > Signal Energy
Consider a real signal x(t), -∞ < t < ∞, such that
x(t) = 0 for t <0, x(t) = 2 for 0 ≤ t < 1 and x(t) = 0 for t ≥ 1.
Let E[x(t)] = ∫-∞[x(t)]2dt.
Which of the following options correctly represents the ratio, E[x(t)]/E[3 x(−3t + 5)]?
A
3
B
1
C
1/3
D
1/9

Correct :

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