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Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Electrical Engineering (EE) MCQ


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15 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform below.
Solutions of Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform questions in English are available as part of our GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) & Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform 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: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform | 15 questions in 45 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
Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 1

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

Que: x(t) as shown in fig.

 

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 1

A = 10 , T = 5, X [k] = 2

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 2

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

Que: x(t) as shown in fig.

​ ​ ​

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 2

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Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 3

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

Que: x(t) as shown in fig.

​ ​ ​

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 3

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 4

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

Que: x(t) as shown in fig.

​ ​ ​

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 4

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 5

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

x(t) = sin2t

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 5

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - 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.

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 6

 = 2(cos 6πt - sin 2πt)

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 7

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

 

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 7

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - 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.

Que: X[k] as shown in fig, wo  = π 

 

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 8

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 9

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

Que: X[k] As shown in fig. , ωo = 2π

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 9

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 10

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

Que: X[k] As shown in fig. , ωo = π

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 10

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 11

Consider a continuous time periodic signal x(t) with fundamental period T and Fourier series coefficients X[k]. Determine the Fourier series coefficient of the signal y(t) given in question and choose correct option.

Que: y(t) = x(t - t0 ) + x (t - t0 )

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 11

x(t - t0) is also periodic with T.  TheFourier series coefficients X1[k] of x(t - t0) are

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 12

Consider a continuous time periodic signal x(t) with fundamental period T and Fourier series coefficients X[k]. Determine the Fourier series coefficient of the signal y(t) given in question and choose correct option.

Que: y(t) = Ev{x(t)}

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 12

The FS coefficients of x(t) are

Therefore, the FS coefficients of Ev{ x(t)} are

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 13

Consider a continuous time periodic signal x(t) with fundamental period T and Fourier series coefficients X[k]. Determine the Fourier series coefficient of the signal y(t) given in question and choose correct option.

Que: y(t) = Re{x(t)}

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 13

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 14

Determine the signal having the Fourier transform given in question.

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 14

Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 15

Determine the signal having the Fourier transform given in question.

Detailed Solution for Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform - Question 15

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