Explore topic-wise MCQs in Digital Signal Processing.

This section includes 18 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.

What is the Butterworth polynomial of order 3?

A. (s2+s+1)(s-1)
B. (s2-s+1)(s-1)
C. (s2-s+1)(s+1)
D. (s2+s+1)(s+1)
Answer» E.
Discussion
2.

What is the general formula that represent the phase of the poles of transfer function of normalized low pass Butterworth filter of order N?

A. \(\frac{π}{N} k+\frac{π}{2N}\) k=0,1,2…N-1
B. \(\frac{π}{N} k+\frac{π}{2N}+\frac{π}{2}\) k=0,1,2…2N-1
C. \(\frac{π}{N} k+\frac{π}{2N}+\frac{π}{2}\) k=0,1,2…N-1
D. \(\frac{π}{N} k+\frac{π}{2N}\) k=0,1,2…2N-1
Answer» E.
Discussion
3.

Where does the poles of the transfer function of normalized low pass Butterworth filter exists?

A. Inside unit circle
B. Outside unit circle
C. On unit circle
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
4.

What is the transfer function of magnitude squared frequency response of the normalized low pass Butterworth filter?

A. \(\frac{1}{1+(s/j)^{2N}}\)
B. \(1+(\frac{s}{j})^{-2N}\)
C. \(1+(\frac{s}{j})^{2N}\)
D. \(\frac{1}{1+(s/j)^{-2N}}\)
Answer» B. \(1+(\frac{s}{j})^{-2N}\)
Discussion
5.

|H(jΩ)| is a monotonically increasing function of frequency.

A. True
B. False
Answer» C.
Discussion
6.

As the value of the frequency Ω tends to ∞, then |H(jΩ)| tends to ____________

A. 0
B. 1
C. ∞
D. None of the mentioned
Answer» B. 1
Discussion
7.

What is the value of magnitude frequency response of a Butterworth low pass filter at Ω=0?

A. 0
B. 1
C. 1/√2
D. None of the mentioned
Answer» C. 1/√2
Discussion
8.

What is the magnitude frequency response of a Butterworth filter of order N and cutoff frequency ΩC?

A. \(\frac{1}{\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}}\)
B. \(1+(\frac{Ω}{Ω_C})^{2N}\)
C. \(\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}\)
D. None of the mentioned
Answer» B. \(1+(\frac{Ω}{Ω_C})^{2N}\)
Discussion
9.

WHERE_DOES_THE_POLES_OF_THE_TRANSFER_FUNCTION_OF_NORMALIZED_LOW_PASS_BUTTERWORTH_FILTER_EXISTS??$

A. Inside unit circle
B. Outside unit circle
C. On unit circle
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
10.

What is the general formula that represent the phase of the poles of transfer function of normalized low pass Butterworth filter of order N?$

A. π/N k+π/2N k=0,1,2…N-1
B. π/N k+π/2N+π/2 k=0,1,2…2N-1
C. π/N k+π/2N+π/2 k=0,1,2…N-1
D. π/N k+π/2N k=0,1,2…2N-1
Answer» E.
Discussion
11.

What is the transfer function of Butterworth low pass filter of order 2?

A. 1/(s<sup>2</sup>+‚àö2 s+1)
B. 1/(s<sup>2</sup>-‚àö2 s+1)
C. s<sup>2</sup>-‚àö2 s+1
D. s<sup>2</sup>+‚àö2 s+1
Answer» B. 1/(s<sup>2</sup>-‚Äö√Ñ√∂‚àö‚Ć‚àö‚àÇ2 s+1)
Discussion
12.

What is the Butterworth polynomial of order 1?

A. s-1
B. s+1
C. s
D. None of the mentioned
Answer» C. s
Discussion
13.

What is the magnitude squared response of the normalized low pass Butterworth filter?

A. 1/(1+Ω<sup>-2N</sup>)
B. 1+Ω<sup>-2N</sup>
C. 1+Ω<sup>2N</sup>
D. 1/(1+Ω^<sup>2N</sup>)
Answer» E.
Discussion
14.

|H(jΩ)| is a monotonically increasing function of frequency.$

A. True
B. False
Answer» C.
Discussion
15.

As the value of the frequency Ω tends to ∞, then |H(jΩ)| tends to:$

A. 0
B. 1
C. ‚àû
D. None of the mentioned
Answer» B. 1
Discussion
16.

What is the value of magnitude frequency response of a Butterworth low pass filter at Ω=0?$

A. 0
B. 1
C. 1/‚àö2
D. None of the mentioned
Answer» C. 1/‚Äö√Ñ√∂‚àö‚Ć‚àö‚àÇ2
Discussion
17.

What is the factor to be multiplied to the dc gain of the filter to obtain filter magnitude at cutoff frequency?

A. 1
B. ‚àö2
C. 1/‚àö2
D. 1/2
Answer» D. 1/2
Discussion
18.

Which of the following is true in the case of Butterworth filters?

A. Smooth pass band
B. Wide transition band
C. Not so smooth stop band
D. All of the mentioned
Answer» E.
Discussion