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Test: Signals & Systems - 1 - Electronics and Communication Engineering (ECE) MCQ


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15 Questions MCQ Test GATE ECE (Electronics) 2024 Mock Test Series - Test: Signals & Systems - 1

Test: Signals & Systems - 1 for Electronics and Communication Engineering (ECE) 2024 is part of GATE ECE (Electronics) 2024 Mock Test Series preparation. The Test: Signals & Systems - 1 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Signals & Systems - 1 MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Signals & Systems - 1 below.
Solutions of Test: Signals & Systems - 1 questions in English are available as part of our GATE ECE (Electronics) 2024 Mock Test Series for Electronics and Communication Engineering (ECE) & Test: Signals & Systems - 1 solutions in Hindi for GATE ECE (Electronics) 2024 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free. Attempt Test: Signals & Systems - 1 | 15 questions in 45 minutes | Mock test for Electronics and Communication Engineering (ECE) preparation | Free important questions MCQ to study GATE ECE (Electronics) 2024 Mock Test Series for Electronics and Communication Engineering (ECE) Exam | Download free PDF with solutions
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Test: Signals & Systems - 1 - Question 1

If a real function f(t) has Fourier transform F(ω), then Fourier transform of f(t) - f(-t) will be

Detailed Solution for Test: Signals & Systems - 1 - Question 1

If F(w)is a complex no.a+jb

then Ft (w) is (a-jb)

SoF.T.of f(t)-f(-t) will bean imaginary number equal to (2 jb)

Test: Signals & Systems - 1 - Question 2

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Test: Signals & Systems - 1 - Question 3

Find the z transform of (n + 1)2

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Test: Signals & Systems - 1 - Question 4

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Test: Signals & Systems - 1 - Question 5

What is the value of Fundamental period of sequence x[n] = 3 sin (1.3 nπ+ π/2) + sin (1.2π)

Test: Signals & Systems - 1 - Question 6

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Test: Signals & Systems - 1 - Question 7

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Test: Signals & Systems - 1 - Question 8

For a periodic signal v(t) = 30 sin100t + 10 cos300t + 6 sin(500t + π/4), the fundamental frequency in rad/s is _____.

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Test: Signals & Systems - 1 - Question 9

The Laplace transform of e-at sin ωt u(t) is:

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Test: Signals & Systems - 1 - Question 10

Find out even and odd part of signal x(t) = (2 + sin t)2

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Test: Signals & Systems - 1 - Question 11

A box has 4 white and 3 red balls. Two balls are taken out in succession. What is the probability that both are white?

Detailed Solution for Test: Signals & Systems - 1 - Question 11

P(a)=probability of white ball for first try =4/7
P(b)=probability of white ball for second try =3/6   (as one white ball is removed)
as taken out in succesion so =P(a)xP(b)
                                              =4/7x3/6
                                               =2/7

Test: Signals & Systems - 1 - Question 12

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Test: Signals & Systems - 1 - Question 13

The function denoted by the waveform given below is

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Test: Signals & Systems - 1 - Question 14

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Test: Signals & Systems - 1 - Question 15

Identify the nature of the signal shown in the given image

Detailed Solution for Test: Signals & Systems - 1 - Question 15

Odd Signals:

  • A signal x(t) is said to be an odd signal if it satisfies the condition:
    x(-t) = -x(t) for all t(Continuos Time)
    x(-n) = -x (n) for all n (Discrete Time)
  • An off signal is ani symmetrical about the vertical axis.

Analysis

for the given signal we can write:
x[-n] = -x[n]
∴ The given signal x[n] is an odd signal

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