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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 Time Fourier Transform

Doc | 6 Pages

### Inverse Discrete Time Fourier Transform

Doc | 1 Page

### Discrete Time Fourier Transform & Its Properties

Doc | 2 Pages

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