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This mock test of Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform for Electronics and Communication Engineering (ECE) helps you for every Electronics and Communication Engineering (ECE) entrance exam.
This contains 15 Multiple Choice Questions for Electronics and Communication Engineering (ECE) Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform (mcq) to study with solutions a complete question bank.
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QUESTION: 1

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

Que: x(t) as shown in fig.

Solution:

A = 10 , T = 5, X [k] = 2

QUESTION: 2

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

Que: x(t) as shown in fig.

Solution:

QUESTION: 3

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

Que: x(t) as shown in fig.

Solution:

QUESTION: 4

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

Que: x(t) as shown in fig.

Solution:

QUESTION: 5

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

x(t) = sin^{2}t

Solution:

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.

Solution:

= 2(cos 6πt - sin 2πt)

QUESTION: 7

Solution:

QUESTION: 8

Que: X[k] as shown in fig, w_{o} = π

Solution:

QUESTION: 9

Que: X[k] As shown in fig. , ω_{o} = 2π

Solution:

QUESTION: 10

Que: X[k] As shown in fig. , ω_{o} = π

Solution:

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 - t_{0} ) + x (t - t_{0} )

Solution:

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

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)}

Solution:

The FS coefficients of x(t) are

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

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)}

Solution:

QUESTION: 14

Determine the signal having the Fourier transform given in question.

Solution:

QUESTION: 15

Determine the signal having the Fourier transform given in question.

Solution:

### Discrete Fourier Transform

Doc | 6 Pages

### Discrete Fourier Transform

Doc | 6 Pages

### Questions - Discrete Fourier Transform

Doc | 1 Page

- Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform
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- Test: Continuous Time Fourier Series
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- Test: The Discrete -Time Fourier Series
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- Test: Fourier Series- 2
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- Test: Fourier Series- 1
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