Explore topic-wise MCQs in Digital Signal Processing.

This section includes 21 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.

1.

A causal system produces the output sequence y(n)={1,0.7} when excited by the input sequence x(n)={1,-0.7,0.1}, then what is the impulse response of the system function?

A. [3(0.5)n+4(0.2)n]u(n)
B. [4(0.5)n-3(0.2)n]u(n)
C. [4(0.5)n+3(0.2)n]u(n)
D. None of the mentioned
Answer» C. [4(0.5)n+3(0.2)n]u(n)
2.

If the frequency response of an FIR system is given as H(z)=1-5/2z-1-3/2z-2, then the system is:

A. Minimum phase
B. Maximum phase
C. Mixed phase
D. None of the mentioned
Answer» D. None of the mentioned
3.

What is the frequency range(in Hz) of Electroencephalogram(EEG)?

A. 10-40
B. 1000-2000
C. 0-100
D. None of the mentioned
Answer» D. None of the mentioned
4.

If the frequency response of an FIR system is given as H(z)=6+z-1-z-2, then the system is:

A. Minimum phase
B. Maximum phase
C. Mixed phase
D. None of the mentioned
Answer» B. Maximum phase
5.

If the system has a impulse response as h(n)=Asin(n+1)ω0u(n), then the system is known as Digital frequency synthesizer.

A. True
B. False
Answer» B. False
6.

If x(n)=Aejωn is the input of an LTI system and h(n) is the response of the system, then what is the output y(n) of the system?

A. H(-ω)x(n)
B. -H(ω)x(n)
C. H(ω)x(n)
D. None of the mentioned
Answer» D. None of the mentioned
7.

Which of the following relation is true if the signal x(n) is real?

A. X*(ω)=X(ω)
B. X*(ω)=X(-ω)
C. X*(ω)= -X(ω)
D. None of the mentioned
Answer» C. X*(ω)= -X(ω)
8.

For a signal x(n) to exhibit even symmetry, it should satisfy the condition | X(-ω)|=| X(ω)|.

A. True
B. False
Answer» B. False
9.

If the frequency response of an FIR system is given as H(z)=1-z-1-z-2, then the system is:

A. Minimum phase
B. Maximum phase
C. Mixed phase
D. None of the mentioned
Answer» C. Mixed phase
10.

An IIR system with system function H(z)=(B(z))/(A(z)) is called a mixed phase if:

A. All poles and zeros are inside the unit circle
B. All zeros are outside the unit circle
C. All poles are outside the unit circle
D. Some, but not all of the zeros are outside the unit circle
Answer» E.
11.

If the Eigen function of an LTI system is x(n)= Aejnπ and the impulse response of the system is h(n)=(1/2)nu(n), then what is the Eigen value of the system?

A. 3/2
B. -3/2
C. -2/3
D. 2/3
Answer» E.
12.

If X(ω) is the Fourier transform of the signal x(n), then what is the Fourier transform of the signal x(n-k)?

A. ejωk. X(-ω)
B. ejωk. X(ω)
C. e-jωk. X(-ω)
D. e-jωk. X(ω)
Answer» E.
13.

Which of the following condition is to be satisfied for the Fourier transform of a sequence to be equal as the Z-transform of the same sequence?

A. |z|=1
B. |z|<1
C. |z|>1
D. Can never be equal
Answer» B. |z|<1
14.

Which filter has a magnitude frequency response as shown in the plot given below?

A. Low pass Filter
B. High pass Filter
C. Band pass Filter
D. Band stop Filter
Answer» E.
15.

What is the convolution of the sequences of x1(n)=x2(n)={1,1,1}?

A. {1,2,3,2,1}
B. {1,2,3,2,1}
C. {1,1,1,1,1}
D. {1,1,1,1,1}
Answer» B. {1,2,3,2,1}
16.

4. 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)
Answer» E.
17.

An IIR system with system function H(z)=(B(z))/(A(z)) is called a minimum phase if:

A. All poles and zeros are inside the unit circle
B. All zeros are outside the unit circle
C. All poles are outside the unit circle
D. All poles and zeros are outside the unit circle
Answer» B. All zeros are outside the unit circle
18.

What is the energy density spectrum Sxx(ω) of the signal x(n)=anu(n), |a|<1?

A. 1/(1+2acosω+a2 )
B. 1/(1+2asinω+a2 )
C. 1/(1-2asinω+a2 )
D. 1/(1-2acosω+a2 )
Answer» E.
19.

What is the causal inverse of the FIR system with impulse response h(n)=δ(n)-aδ(n-1)?

A. δ(n)-aδ(n-1)
B. δ(n)+aδ(n-1)
C. a -n
D. an
Answer» E.
20.

If the system gives an output y(n)=H(ω)x(n) with x(n)= Aejωnas input signal, then x(n) is said to be Eigen function of the system.

A. True
B. False
Answer» B. False
21.

What is the inverse of the system with impulse response h(n)= δ(n)-1/2 δ(n-1)?

A. (1/2)nu(n)
B. -(1/2)nu(-n-1)
C. (1/2)nu(n) & -(1/2)nu(-n-1)
D. None of the mentioned
Answer» D. None of the mentioned