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This mock test of Test: Fourier Part - 2 for Electrical Engineering (EE) helps you for every Electrical Engineering (EE) entrance exam.
This contains 10 Multiple Choice Questions for Electrical Engineering (EE) Test: Fourier Part - 2 (mcq) to study with solutions a complete question bank.
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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-t_{0}) + x ( t-t_{0})

Solution:

x(t- t_{0}) is also periodic with T. The Fourier series coefficients X_{1} [k] of x(t - t_{0}) are

Similarly, the FS coefficients of x(t+ t_{0}) are

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)}

Solution:

The FS coefficients of x(t) are

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

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)}

Solution:

The FS coefficient of x *(t) is

QUESTION: 4

Solution:

By inspection

Where |n|≤ 9

QUESTION: 5

Solution:

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 - n_{0}]

Solution:

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 ]

Solution:

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)

Solution:

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

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)

Solution:

y[n] = x[n] -x [ n-N/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]

Solution:

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