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BARC-2018 EC: SIgnal & System Quiz 3

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Question 1

Find the value of x(t) (in units) at t →∞. If a system is represented by the relation x(s) =   where R(s) is the Laplace form of unit step function?

Question 2

Given a system whose input and output are x(t) and y(t) respectively. The system equation is Then the system is (where Even{} denotes even part of the signal)

Question 3

Consider the two LTI system connected as shown below

If the impulse response of the two systems are given as h1(t) = δ(t) and h2(t) = The input to the system is x(t) = e-2t u(t), then the output y(t) of the system at t = 2 sec will be ______.

Question 4

Find the systems response to the input x[n] = δ[n-3]| if the unit impulse response h[n] of a DT LTI system is h[n] = ?

Question 5

The Region of convergence of a causal finite duration discrete time function is
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Jun 21ESE & GATE EC