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

# 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.
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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

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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?

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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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## GATE ECE (Electronics) 2024 Mock Test Series

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