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GATE EC 2017 Set 2 — Question 35

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NAT+1 / -0MediumImpulse Response & ConvolutionLTI SystemsSignals & SystemsEnergy & Power SignalsContinuous-Time Signals

Signals & Systems → Continuous-Time Signals → Energy & Power Signals

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Question

Consider the parallel combination of two LTI systems shown in the figure.
Parallel combination of two LTI systems $h_1(t)$ and $h_2(t)$
The impulse responses of the systems areh1(t)=2δ(t+2)−3δ(t+1)h_1(t) = 2\delta(t + 2) - 3\delta(t + 1)h2(t)=δ(t−2)h_2(t) = \delta(t - 2)If the input x(t)x(t) is a unit step signal, then the energy of y(t)y(t) is ________.
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