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Discrete Fourier Transform

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

DFT is applied to

a)

Infinite sequences

b)

Finite discrete sequences

c)

Continuous infinite signals

d)

Continuous finite sequences

2.

The circular convolution of two sequences in time domain is equivalent to

a)

Multiplication of DFTs of two sequences

b)

Summation of DFTs of two sequences

c)

Difference of DFTs of two sequences

d)

Square of multiplication of DFTs of two sequences

3.

Which of the following relations are true if x(n) is real?

a)

X(ω)=X(-ω)

b)

X(ω)=-X(-ω)

c)

X*(ω)=X(ω)

d)

X*(ω)=X(-ω)

4.

The time system which operates with a continuous time signal and produces a continuous time output signal is

a)

CTF system

b)

DTF System

c)

Time invariant System

d)

Time variant System

5.

The basic properties of DFT includes

1)Linearity

2) Periodicity

3) Circular symmetry

4) Summation

a)

1, 2 and 3 are correct

b)

1, 2 and 4 are correct

c)

1 and 3 are correct

d)

All the four are correct

6.

The Imaginary part of  e^{isx\ }  is

a)

sinsx

b)

i sinsx

c)

cossx

d)

cosx

7.

Discrete or continuous data?

a)

Discrete

b)

Continuous

8.

WNk+N/2=?

a)

a) WNk

b)

b) -WNk

c)

c) WN-k

d)

d) None of the mentioned

9.

The DFT is preferred for


1) Its ability to determine the frequency component of the signal

2) Removal of noise

3) Filter design

4) Quantization of signal

a)

1, 2 and 3 are correct

b)

1 and 2 are correct

c)

1 and 3 are correct

d)

All the four are correct

10.

If x(n) and X(K) are an N-Point DFT pair, then X(k+N)=?

a)

X(-k)

b)

-X(k)

c)

X(K)

d)

None of the above