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GATE 2019: Signals & Systems Rapid Mini Mock (App update required to attempt this test)

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Question 1

Determine the energy of the signal shown below.

Question 2

If x(t)=e-3|t| then Fourier transform of x(2t+3) is

Question 3

The Laplace transform of

Question 4

A signal is

Question 5

The value of

Question 6

Consider a system shown below



the value of k for which the system will be a linear system is __________.

Question 7

Consider a discrete time signal given by

The region of convergence of its Z-transform would be

Question 8

Consider a discrete time system whose impulse response is given as

with input is applied to the system. Then the magnitude of the response of the system for even values of n will be equal to _____________.

Question 9

Find the value of Y (z), nif y (n) + and y(-1) = y(-2) =1?

Question 10

Find the inverse Z- transform of x (z) = ?

Question 11

An input signal X(t) = 2 + 5 sin(100πt) is sampled with a sampling frequency of 400 Hz and applied to the system whose transfer function is represented by
 
where, N represents the number of samples per cycle. The output y(n) of the system under steady state is

Question 12

A cascade system having the impulse responses h1[n] = [1,-1] & h2[n]=[1,1] is shown in the figure below, where symbol denotes the time origin.

The input sequence x(n)for which the cascade system produces an output sequence

y(n) = [1,2,1,-1,-2,-1] is

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May 31ESE & GATE EE