Test: Continuous Time Fourier Transformer (CTFT)- 2


10 Questions MCQ Test Topicwise Question Bank for Electrical Engineering | Test: Continuous Time Fourier Transformer (CTFT)- 2


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Attempt Test: Continuous Time Fourier Transformer (CTFT)- 2 | 10 questions in 30 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study Topicwise Question Bank for Electrical Engineering for Electrical Engineering (EE) Exam | Download free PDF with solutions
QUESTION: 1

If x(n) = (1/2)n u(n), y(n) = x2(n) and (e) be the fourier transform of y(n), then y(e0) is

Solution:


and 
⇒ 
then,

QUESTION: 2

For a signal x(t), the fourier transform is X(f), then inverse fourier transform of x(3f + 2) is given by

Solution:


Apply scaling and shifting property.

QUESTION: 3

The Fourier transform of given signal x(t)

Solution:

QUESTION: 4

Fourier transform of x(t) = eat u (-t), a > 0 is

Solution:
QUESTION: 5

Determine the fourier transform of the signal x(t) shown in figure.

Solution:


⇒ 
⇒ 

QUESTION: 6

Match List-I [Function f(t)] with List-II [Fourier transform F(ω)] and select the correct answer using the codes given below the lists:
List- I
A. f(t – t0)
B. f(t) ejω0t
C. f1(t) . f2(t)


List-ll
1. f(ω – ω0)
2.
3. 
4.
5.
Codes

Solution:
QUESTION: 7

Consider a continuous time low pass filter whose impulse response h(t) is known to be real and whouse frequency response magnitude is given by

Determine the value of h(t) if the group delay function is specified as t(ω) = 5.

Solution:

Since, 
0; otherwise
using duality property,

Since group delay is constant and 
So, 

QUESTION: 8

Consider a signal x1(t) having a fourier transform x1(jω). An another signal x2(t) having fourier transform x2(jω) is related to x1 (t) by x2(jω) = [1 +sgn(ω)] x1(jω) x2(t) in terms of x1(t) is equal to

Solution:

Since, 
or, 

or, 
because,

using, Hilbert transform

QUESTION: 9

A Fourier transform pair is as follows:


The Fourier transform of given signal y(t) is

Solution:


⇒ 

QUESTION: 10

Suppose; y(t) = x(t) cost
and 
then x(t) will be

Solution:
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