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BARC 2020: Nuclear Quiz 2

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Question 1

The discrete-time signal is given as

Which one of the following is the time-shifted signal ?

Question 2

Consider the signal given below,

If then the z-transform X(z) is

Question 3

Which of the following is the mathematical representation of unit sinc function?

Question 4

Laplace transform of the function v(t) shown in the figure is:

Question 5

Let f(x) be a real, periodic function adequate the condition f (-x) = -f(x). The general form of its Fourier series representation would be

Question 6

A signal x(t) is denoted by a function which is periodic and continuous in its time domain representation. Then, which of the following would be true for the fourier transform of the signal
(i) Discrete and Periodic
(ii) Discrete and Aperiodic
(iii) Real{x(t)} transforms in to Real{X(jω)}
(iv) Real{x(t)} transforms in to Imag{X(jω)}

Question 7

The Fourier transform of the following signal is

Question 8

L{e–2t [u(t) – u(t – 1)]} = ?

Question 9

Consider the signal given below:
.
then the Nyquist sampling rate of the signal is

Question 10

A discrete time signal with input as x[n] has impulse response h[n]=kδ[n] where k is constant. The output y[n] of the system is given as:
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Jan 25ESE & GATE EC