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Test: Fourier - 1 - Electronics and Communication Engineering (ECE) MCQ


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10 Questions MCQ Test - Test: Fourier - 1

Test: Fourier - 1 for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Test: Fourier - 1 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Fourier - 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: Fourier - 1 below.
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Test: Fourier - 1 - Question 1

Determine the Fourier series coefficient for given periodic signal x(t).
Q. x(t) as shown in fig. P5.7.1

Detailed Solution for Test: Fourier - 1 - Question 1


A = 10 , T =  5, X [k] =  2

Test: Fourier - 1 - Question 2

Determine the Fourier series coefficient for given periodic signal x(t).
Q. x(t) as shown in fig. P5.7.2

Detailed Solution for Test: Fourier - 1 - Question 2


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Test: Fourier - 1 - Question 3

Determine the Fourier series coefficient for given periodic signal x(t).
Q. x(t) as shown in fig. P5.7.3

Detailed Solution for Test: Fourier - 1 - Question 3


Test: Fourier - 1 - Question 4

Determine the Fourier series coefficient for given periodic signal x(t).
Q. x(t) as shown in fig. P5.7.4

Detailed Solution for Test: Fourier - 1 - Question 4


Test: Fourier - 1 - Question 5

Determine the Fourier series coefficient for given periodic signal x(t).
Q. x(t) = sin2t

Detailed Solution for Test: Fourier - 1 - Question 5


The fundamental period of sin2( t) is π and 

Test: Fourier - 1 - Question 6

In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.
Q. 

Detailed Solution for Test: Fourier - 1 - Question 6


Test: Fourier - 1 - Question 7

The Fourier transform X(jω) of the signal
  

Detailed Solution for Test: Fourier - 1 - Question 7

Let us assume the Fourier transform of x(t) is X(ω), then as per property of duality,


Test: Fourier - 1 - Question 8

In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.
Q. X [k] as shown in fig. P5.7.11, 

Detailed Solution for Test: Fourier - 1 - Question 8


Test: Fourier - 1 - Question 9

Which of the following is not Dirichlet’s condition for the Fourier series expansion?

Detailed Solution for Test: Fourier - 1 - Question 9

f(x) has a finite number of discontinuities in only one period is not a Dirichlet's condition for the Fourier series expansion​.

Test: Fourier - 1 - Question 10

In the Fourier transform, if the time domain signal x(t) is real and even, then the frequency domain signal X(jΩ) will be:

Detailed Solution for Test: Fourier - 1 - Question 10

Let F(ω) is the Fourier transform of f(t).
  

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