Explore topic-wise MCQs in Digital Signal Processing.

This section includes 23 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.

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
Discussion
2.

The filter with the system function H(z)=z-k is a ____________

A. Notch filter
B. Band pass filter
C. All pass filter
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
3.

Which of the following filters have a frequency response as shown below?

A. Band pass filter
B. Band stop filter
C. All pass filter
D. Notch filter
Answer» E.
Discussion
4.

A digital resonator is a special two pole band pass filter with the pair of complex conjugate poles located near the unit circle.

A. True
B. False
Answer» B. False
Discussion
5.

If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?

A. 0.1/(1+0.9ejω)
B. 0.1/(1+0.9e-jω)
C. 0.1/(1-0.9ejω)
D. None of the mentioned
Answer» C. 0.1/(1-0.9ejω)
Discussion
6.

If hlp(n) denotes the impulse response of a low pass filter with frequency response Hlp(ω), then what is the frequency response of the high pass filter in terms of Hlp(ω)?

A. Hlp(ω-π/2)
B. Hlp(ω+π/2)
C. Hlp(ω-π)
D. Hlp(ω+π)
Answer» D. Hlp(ω+π)
Discussion
7.

What is the system function for a two pole band pass filter that has the centre of its pass band at ω=π/2, zero its frequency response characteristic at ω=0 and at ω=π, and its magnitude response is 1/√2 at ω=4π/9?

A. \(0.15\frac{1-z^{-2}}{1+0.7z^{-2}}\)
B. \(0.15\frac{1+z^{-2}}{1-0.7z^{-2}}\)
C. \(0.15\frac{1-z^{-2}}{1-0.7z^{-2}}\)
D. \(0.15\frac{1+z^{-2}}{1+0.7z^{-2}}\)
Answer» B. \(0.15\frac{1+z^{-2}}{1-0.7z^{-2}}\)
Discussion
8.

A two pole low pass filter has a system function H(z)=\(\frac{b_0}{(1-pz^{-1})^2}\), What is the value of ‘b0‘ such that the frequency response H(ω) satisfies the condition |H(π/4)|2=1/2 and H(0)=1?

A. 0.36
B. 0.38
C. 0.32
D. 0.46
Answer» E.
Discussion
9.

A two pole low pass filter has a system function H(z)=\(\frac{b_0}{(1-pz^{-1})^2}\), What is the value of ‘p’ such that the frequency response H(ω) satisfies the condition |H(π/4)|2=1/2 and H(0)=1?

A. 0.46
B. 0.38
C. 0.32
D. 0.36
Answer» D. 0.36
Discussion
10.

If the phase ϴ(ω) of the system is linear, then the group delay of the system?

A. Increases with frequency of signal
B. Constant
C. Decreases with frequency of signal
D. Independent of frequency of signal
Answer» C. Decreases with frequency of signal
Discussion
11.

The ‘Envelope delay’ or ‘Group delay’ is the time delay that the signal component of frequency ω undergoes as it passes from the input to the output of the system.

A. True
B. False
Answer» B. False
Discussion
12.

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.
Discussion
13.

An ideal filter should have unity gain in their stop band.

A. True
B. False
Answer» C.
Discussion
14.

IF_HLP(N)_DENOTES_THE_IMPULSE_RESPONSE_OF_A_LOW_PASS_FILTER_WITH_FREQUENCY_RESPONSE_HLP(‚ÂÀ√¨‚ÀÖ¬¢),_THEN_WHAT_IS_THE_FREQUENCY_RESPONSE_OF_THE_HIGH_PASS_FILTER_IN_TERMS_OF_HLP(‚ÂÀ√¨‚ÀÖ¬¢)??$#

A. H<sub>lp</sub>(ω-π/2)
B. H<sub>lp</sub>(ω+π/2)
C. H<sub>lp</sub>(ω-π)
D. H<sub>lp</sub>(ω+π)
Answer» D. H<sub>lp</sub>(‚âà√¨‚àö¬¢+‚âà√¨‚àö√ë)
Discussion
15.

A digital resonator is a special two pole band pass filter with the pair of complex conjugate poles located near the unit circle.$

A. True
B. False
Answer» B. False
Discussion
16.

If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?$

A. 0.1/(1+0.9e<sup>jω</sup> )
B. 0.1/(1+0.9e<sup>-jω</sup>)
C. 0.1/(1-0.9e<sup>jω</sup> )
D. None of the mentioned
Answer» C. 0.1/(1-0.9e<sup>j‚âà√¨‚àö¬¢</sup> )
Discussion
17.

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
Discussion
18.

The filter with the system function H(z)=z -k is a:

A. Notch filter
B. Band pass filter
C. All pass filter
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
19.

A comb filter is a special case of notch filter in which the nulls occur periodically across the frequency band.

A. True
B. False
Answer» B. False
Discussion
20.

What is the system function for a two pole band pass filter that has the centre of its pass band at ω=π/2, zero its frequency response characteristic at ω=0 and at ω=π, and its magnitude response is 1/√2 at ω=4π/9?#

A. 0.15(1-z<sup>-2</sup>)/(1+0.7z<sup>-2</sup> )
B. 0.15(1+z<sup>-2</sup>)/(1-0.7z<sup>-2</sup> )
C. 0.15(1-z<sup>-2</sup>)/(1-0.7z<sup>-2</sup> )
D. 0.15(1+z<sup>-2</sup>)/(1+0.7z<sup>-2</sup> )
Answer» B. 0.15(1+z<sup>-2</sup>)/(1-0.7z<sup>-2</sup> )
Discussion
21.

If the phase ϴ(ω) of the system is linear, then the group delay of the system:$

A. Increases with frequency of signal
B. Constant
C. Decreases with frequency of signal
D. Independent of frequency of signal
Answer» C. Decreases with frequency of signal
Discussion
22.

The ‘Envelope delay’ or ‘Group delay’ is the time delay that the signal component of frequency ω undergoes as it passes from the input to the output of the system.$

A. True
B. False
Answer» B. False
Discussion
23.

An ideal filter should have zero gain in their stop band.

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