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BARC-2018 EE: SIgnal & System Quiz 3

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Question 1

Find the system’s response to the input x[n] = if the unit impulse response h[n] of a DT LTI system is h[n]= δ[n+2]+δ[n+1]+δ[n]+δ[n-1].|?

Question 2

Let y[n] denote the convolution of h[n] and g[n], where h[n] = (1/2)n u[n] and g[n] is a casual sequence. If y[0] = 1 and y[1] = 1/2, then g[1] equals

Question 3

A time domain energy signal is defined as x(t) with energy equal to 12 Joule then the energy of the signal 2x(3t – 5) is equal to

Question 4

Let a signal a1 sin(ω1t + φ1) but applied to a stable linear time-invariant system. Let the corresponding steady state output be represented as a2F(ω2t + φ2). Then which of the following statements is true?

Question 5

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 ______.

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Mar 14ESE & GATE EE