Test: Fourier - 2 - Electrical Engineering (EE) MCQ

# Test: Fourier - 2 - Electrical Engineering (EE) MCQ

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## 10 Questions MCQ Test Signals and Systems - Test: Fourier - 2

Test: Fourier - 2 for Electrical Engineering (EE) 2024 is part of Signals and Systems preparation. The Test: Fourier - 2 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Fourier - 2 MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Fourier - 2 below.
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Test: Fourier - 2 - Question 1

### 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. Q. y(t) = x(t-t0) + x ( t-t0)

Detailed Solution for Test: Fourier - 2 - Question 1

Test: Fourier - 2 - Question 2

### 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. Q. y(t) = Ev{ x(t)}

Detailed Solution for Test: Fourier - 2 - Question 2

The FS coefficients of x(t) are

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

Test: Fourier - 2 - Question 3

### 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. Q. y(t) = Re{ x(t)}

Detailed Solution for Test: Fourier - 2 - Question 3

The FS coefficient of x *(t) is

Test: Fourier - 2 - Question 4

Detailed Solution for Test: Fourier - 2 - Question 4

By inspection

Where |n|≤ 9

Test: Fourier - 2 - Question 5

Detailed Solution for Test: Fourier - 2 - Question 5

Test: Fourier - 2 - Question 6

Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
Q. y[n] = x[n - n0]

Detailed Solution for Test: Fourier - 2 - Question 6

Test: Fourier - 2 - Question 7

Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
Q. y[n] = x[n]- x[n - 2 ]

Detailed Solution for Test: Fourier - 2 - Question 7

Test: Fourier - 2 - Question 8

Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
Q. y[n] = x[n]+ x[n + N 2 ] , (assume that N is even)

Detailed Solution for Test: Fourier - 2 - Question 8

of N/2 and N has been assumed to be even,

Test: Fourier - 2 - Question 9

Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
Q. y[n] = x[n]-x[n-N/2] , (assume that N is even)

Detailed Solution for Test: Fourier - 2 - Question 9

y[n] = x[n] -x [ n-N/2 ]

Test: Fourier - 2 - Question 10

Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
Q. y[n] = x* [-n]

Detailed Solution for Test: Fourier - 2 - Question 10

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