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GATE 2022 : Signals and Systems Revision Quiz

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Question 1

The inverse DTFT of X(ejω)= is x(n). Then, what is the value of 2x(2) +5x(4)?

Question 2

If Laplace transform of x(t) is X(s) and Laplace Transform of e+3t x(t) is X(S + S0), then the value of S0 is _______

Question 3

The Laplace transform of x(t) = e–a|t| for a > 0 is?

Question 4

For a linear phase system of tg denotes the group delay and tp denotes the phase delay then

Question 5

The signal x(t) and X(s) form a laplace transform pair. If x(t) = e5t u(–t + 3), then X(s) is

Question 6

The z transform of x[n] = {2, 4, 5, 7, 0, 1}

Question 7

A system has impulse response  The output y[n] to the input x[n] is given by
y[n] = 2δ[n – 4]. The input x[n] is

Question 8Multiple Correct Options

Which of the following is/are energy signals?

Question 9

The value of is _______.

Question 10

Two LTI system with impulse responses h1[n] = δ(n) and h2[n] = δ[n] – δ[n – 2] are connected in series. If the input is x(n) = u(n) then output is__________.

Question 11

A distance time signal is given as x[n] = The period N for the periodic signal is

Question 12

Let. Then the value of Laplace transform of function at is____

Question 13

The real conjugate symmetric part of signal is

Question 14

The inverse Laplace transform of the below function is?

Question 15

A system has the transfer function

H(s) = . The impulse response of the system which is non-causal and stable is:

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Dec 28ESE & GATE EE