Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  GATE Electrical Engineering (EE) 2024 Mock Test Series  >  Test: The Discrete -Time Fourier Series - Electrical Engineering (EE) MCQ Download as PDF

Test: The Discrete -Time Fourier Series - Electrical Engineering (EE) MCQ


Test Description

15 Questions MCQ Test GATE Electrical Engineering (EE) 2024 Mock Test Series - Test: The Discrete -Time Fourier Series

Test: The Discrete -Time Fourier Series for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) 2024 Mock Test Series preparation. The Test: The Discrete -Time Fourier Series questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: The Discrete -Time Fourier Series MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: The Discrete -Time Fourier Series below.
Solutions of Test: The Discrete -Time Fourier Series questions in English are available as part of our GATE Electrical Engineering (EE) 2024 Mock Test Series for Electrical Engineering (EE) & Test: The Discrete -Time Fourier Series solutions in Hindi for GATE Electrical Engineering (EE) 2024 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: The Discrete -Time Fourier Series | 15 questions in 45 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study GATE Electrical Engineering (EE) 2024 Mock Test Series for Electrical Engineering (EE) Exam | Download free PDF with solutions
1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: The Discrete -Time Fourier Series - Question 1

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.

Que: y[n] = x[ n - no]

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 1

Test: The Discrete -Time Fourier Series - Question 2

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.

y[n] = x[n] - x[n-2 ]

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 2

Test: The Discrete -Time Fourier Series - Question 3

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.

Que: y[n] =  x[n] + x[n + N/2 ] , (assume that N is even)

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 3

Note that y[n] =  x[n] + x[n + N/2 ] has a period of N/2 and N has been assumed to be even,

Test: The Discrete -Time Fourier Series - Question 4

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.

Que: y[n] = x[n] - x[n + N/2 ] , (assume that N is even)

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 4

Test: The Discrete -Time Fourier Series - Question 5

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.

Que: y[n] = x*[-n]

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 5

y[n] = x*[-n]

Test: The Discrete -Time Fourier Series - 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.

y[n] = (-1)nx[n], (assume that N is even)

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 6

With N even

Test: The Discrete -Time Fourier Series - Question 7

Consider a discrete-time periodic signal

with period  N = 10, Also y[n] = x[n] - x[n-1]

Que: The fundamental period of y[n] is

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 7

y[n] is shown is fig.

It has fundamental period of 10.

Test: The Discrete -Time Fourier Series - Question 8

Consider a discrete-time periodic signal

with period  N = 10, Also y[n] = x[n] - x[n-1]

Que: The FS coefficients of y[n] are

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 8

Test: The Discrete -Time Fourier Series - Question 9

Consider a discrete-time periodic signal

with period  N = 10, Also y[n] = x[n] - x[n-1]

The FS coefficients of x[n] are

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 9

Test: The Discrete -Time Fourier Series - Question 10

Consider a discrete-time signal with Fourier representation.

In question the FS coefficient Y [k] is given. Determine the corresponding signal y[n] and choose correct option.

Que: Y[k] = X[k-5] + X[k+5]

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 10

Test: The Discrete -Time Fourier Series - Question 11

onsider a discrete-time signal with Fourier representation.

In question the FS coefficient Y [k] is given. Determine the corresponding signal y[n] and choose correct option.

Que: 

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 11

Test: The Discrete -Time Fourier Series - Question 12

Consider a discrete-time signal with Fourier representation.

In question the FS coefficient Y [k] is given. Determine the corresponding signal y[n] and choose correct option.

Que: Y[k] = X[k]*X[k]

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 12

Test: The Discrete -Time Fourier Series - Question 13

Consider a discrete-time signal with Fourier representation.

In question the FS coefficient Y [k] is given. Determine the corresponding signal y[n] and choose correct option.

Que: Y[k] = Re{X[k]}

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 13

Test: The Discrete -Time Fourier Series - Question 14

A real and odd periodic signal x[n] has fundamental period N = 7 and FS coefficients X [k]. Given that X [15] = j, X [16] = 2j, X [17] = 3j. The values of X [0],X [-1], X [-2], and X [ -3] will be

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 14

Since the FS coefficient repeat every N. Thus

X[1] = X[15], X[2] = X[16], X[3] = X[17]
The signal real and odd, the FS coefficient X[k] will be purely imaginary and odd. Therefore X[0] = 0 X[-1] = -X[1], X[-2] = -X[2], X[-3]  = -X[-3]
Therefore (D) is correct option.

Test: The Discrete -Time Fourier Series - Question 15

Consider a signal x[n] with following facts

1. x[n] is a real and even signal

2. The period of x[n] is N = 10

3. X [11] = 5​ ​ ​ ​

 

Detailed Solution for Test: The Discrete -Time Fourier Series - Question 15

Since N = 10, X[11] = X[1] = 5
Since x[n] is real and even X[k] is also real and even.
Therefore X[1] = X[-1] = 5.

23 docs|263 tests
Information about Test: The Discrete -Time Fourier Series Page
In this test you can find the Exam questions for Test: The Discrete -Time Fourier Series solved & explained in the simplest way possible. Besides giving Questions and answers for Test: The Discrete -Time Fourier Series, EduRev gives you an ample number of Online tests for practice
Download as PDF
Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!