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Test: Signals & Systems- 2 - Electrical Engineering (EE) MCQ


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20 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - Test: Signals & Systems- 2

Test: Signals & Systems- 2 for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The Test: Signals & Systems- 2 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Signals & Systems- 2 MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Signals & Systems- 2 below.
Solutions of Test: Signals & Systems- 2 questions in English are available as part of our GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) & Test: Signals & Systems- 2 solutions in Hindi for GATE Electrical Engineering (EE) Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Signals & Systems- 2 | 20 questions in 60 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) Exam | Download free PDF with solutions
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Test: Signals & Systems- 2 - Question 1

Consider a continuous rectangular pulse waveform as shown below:

The Laplace tranform of this above waveform is 

Test: Signals & Systems- 2 - Question 2

The Laplace transformation of f(t) is given by F(s).

 Given that,  the value of f(t) as t →∞

Test: Signals & Systems- 2 - Question 3

The Laplace transform of the signal f(t) = 2e-at sin (bt +θ) is equal to 

Test: Signals & Systems- 2 - Question 4

consider a square pulse f(t) as shown in figure below. Let F(s) denote the Laplace transform of f(t)

then the resulting wave form of the inverse Laplace Transform of F2(s) is 

Test: Signals & Systems- 2 - Question 5

The Laplace Transform of the signal x(t) = (t2 - 2t) u(t - 1)

Test: Signals & Systems- 2 - Question 6

Consider a LTI system with system function  The steady-state response of the system is given by (when the excitation is 8 cos2t)

Test: Signals & Systems- 2 - Question 7

The Laplace transform of the signal x(t) whose waveform is shown below is given by

Test: Signals & Systems- 2 - Question 8

The inverse z-transform of a z-domain funcion 

Test: Signals & Systems- 2 - Question 9

A discrete-time system is given by the equation 

y(k + 3) = -0.3y(k + 2) + y(k + 1) - 0.5y(k) + 2x(k + 3) - 4x(k + 1)

The highest degree of ‘z’ in Numerator and Denominator polynomials of its transfer function H(z) will be, (Assume all initial conditions are zero).

Test: Signals & Systems- 2 - Question 10

Consider the discrete time sequence,  and  have some ROCs.

  1. The ROC of X(z) constains the unit circle.
  2. The ROC of X(z) does not contains the unit circle.
  3. The discrete sequence x[n], does not have a Fourier transform. 
  4. The discrete sequence x[n] does have a Fourier transform.

Q.

Which is/are correct statement(s)?

Test: Signals & Systems- 2 - Question 11

If the impulse response of discrete-time sequence is h[n] = an • u[-n - 1], then the system function H(z) equals to, (Assume that α = 1.6)

Test: Signals & Systems- 2 - Question 12

The z-transform X(z) of a discrete-time sequence x[n] is equals to  

It is given that the ROC of X(z) does not includes the unit circle, u[n] = 1 for n ≥ 0. The value of x[n] at n = 1 equals to

Test: Signals & Systems- 2 - Question 13

Consider a general signal x(t) which is sampled at sampling rate 1/T to get the discrete-time sequence x(kT) having z-transform X(z). Assume X(s) is the Laplace transform of x(t). For X(s) = X(z), which is the correct relation between s and z?

Test: Signals & Systems- 2 - Question 14

A system is described by the difference equation,  

The impulse response of the system is 

Test: Signals & Systems- 2 - Question 15

Consider a waveform f(t)as shown in figure below:

The Fourier series of f(t) have

Test: Signals & Systems- 2 - Question 16

The Fourier series expansion of a periodic function f(t) contains only odd harmonics of sine waves. It is clearly say that funciton f(t) is an

Test: Signals & Systems- 2 - Question 17

If X(f) represents the Fourier transform of a signal x(t), which is real and odd symmetric in time, then

Test: Signals & Systems- 2 - Question 18

A signal x(t) has fourier transform X(ω) which is shown in the figure below:

The value present in the signal x(t) at t =0 is 

Test: Signals & Systems- 2 - Question 19

A source signal s(t) having a Fourier transform as,

The energy and the power that would be observed through a 1 Ω resistor respectively will be

Test: Signals & Systems- 2 - Question 20

Assuming x(t) is an even function. Then

Fourier transform of x(t) will be:

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