Explore topic-wise MCQs in Digital Signal Processing.

This section includes 22 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.

The frequency ωP is called as ______________

A. Pass band ripple
B. Stop band ripple
C. Pass band edge ripple
D. Stop band edge ripple
Answer» D. Stop band edge ripple
Discussion
2.

The magnitude |H(ω)| cannot be constant in any finite range of frequencies and the transition from pass-band to stop-band cannot be infinitely sharp.

A. True
B. False
Answer» B. False
Discussion
3.

The HI(ω) is uniquely determined from HR(ω) through the integral relationship. This integral is called as Continuous Hilbert transform.

A. True
B. False
Answer» C.
Discussion
4.

What is the Fourier transform of the unit step function U(ω)?

A. πδ(ω)-0.5-j0.5cot(ω/2)
B. πδ(ω)-0.5+j0.5cot(ω/2)
C. πδ(ω)+0.5+j0.5cot(ω/2)
D. πδ(ω)+0.5-j0.5cot(ω/2)
Answer» E.
Discussion
5.

HR(ω) and HI(ω) are interdependent and cannot be specified independently when the system is causal.

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

If h(n) is absolutely summable, i.e., BIBO stable, then the equation for the frequency response H(ω) is given as?

A. HI(ω)-j HR(ω)
B. HR(ω)-j HI(ω)
C. HR(ω)+j HI(ω)
D. HI(ω)+j HR(ω)
Answer» D. HI(ω)+j HR(ω)
Discussion
7.

If h(n) is causal and h(n)=he(n)+ho(n),then what is the expression for h(n) in terms of only ho(n)?

A. h(n)=2ho(n)u(n)+h(0)δ(n), n ≥ 0
B. h(n)=2ho(n)u(n)+h(0)δ(n), n ≥ 1
C. h(n)=2ho(n)u(n)-h(0)δ(n), n ≥ 1
D. h(n)=2ho(n)u(n)-h(0)δ(n), n ≥ 0
Answer» C. h(n)=2ho(n)u(n)-h(0)δ(n), n ≥ 1
Discussion
8.

If h(n) is causal and h(n)=he(n)+ho(n),then what is the expression for h(n) in terms of only he(n)?

A. h(n)=2he(n)u(n)+he(0)δ(n), n ≥ 0
B. h(n)=2he(n)u(n)+he(0)δ(n), n ≥ 1
C. h(n)=2he(n)u(n)-he(0)δ(n), n ≥ 1
D. h(n)=2he(n)u(n)-he(0)δ(n), n ≥ 0
Answer» E.
Discussion
9.

The magnitude function |H(ω)| can be zero at some frequencies, but it cannot be zero over any finite band of frequencies.

A. True
B. False
Answer» B. False
Discussion
10.

If |H(ω)| is square integrable and if the integral \(\int_{-\pi}^\pi |ln⁡|H(ω)||dω\) is finite, then the filter with the frequency response H(ω)=|H(ω)|ejθ(ω) is?

A. Anti-causal
B. Constant
C. Causal
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
11.

If h(n) has finite energy and h(n)=0 for n<0, then which of the following are true?

A. \(\int_{-π}^π|ln⁡ |H(ω)||dω \gt -\infty\)
B. \(\int_{-π}^π|ln⁡ |H(ω)||dω \lt \infty\)
C. \(\int_{-π}^π|ln⁡|H(ω)||dω = \infty\)
D. None of the mentioned
Answer» C. \(\int_{-π}^π|ln⁡|H(ω)||dω = \infty\)
Discussion
12.

The following diagram represents the unit sample response of which of the following filters?

A. Ideal high pass filter
B. Ideal low pass filter
C. Ideal high pass filter at ω=π/4
D. Ideal low pass filter at ω=π/4
Answer» E.
Discussion
13.

HR(‚ÂÀ√¨‚ÀÖ¬¢)_AND_HI(‚ÂÀ√¨‚ÀÖ¬¢)_ARE_INTERDEPENDENT_AND_CANNOT_BE_SPECIFIED_INDEPENDENTLY_WHEN_THE_SYSTEM_IS_CAUSAL.?$#

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

The HI(ω) is uniquely determined from HR(ω) through the integral relationship. This integral is called as Continuous Hilbert transform.$#

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

What_is_the_Fourier_transform_of_the_unit_step_function_U(ω)?$#

A. πδ(ω)-0.5-j0.5cot(ω/2)
B. πδ(ω)-0.5+j0.5cot(ω/2)
C. πδ(ω)+0.5+j0.5cot(ω/2)
D. πδ(ω)+0.5-j0.5cot(ω/2)
Answer» E.
Discussion
16.

Which of the following represents the bandwidth of the filter?

A. ω<sub>P</sub>+ ω<sub>S</sub>
B. -ω<sub>P</sub>+ ω<sub>S</sub>
C. ω<sub>P</sub>-ω<sub>S</sub>
D. None of the mentioned
Answer» C. ‚âà√¨‚àö¬¢<sub>P</sub>-‚âà√¨‚àö¬¢<sub>S</sub>
Discussion
17.

The frequency ωP is called as:$

A. Pass band ripple
B. Stop band ripple
C. Pass band edge ripple
D. Stop band edge ripple
Answer» D. Stop band edge ripple
Discussion
18.

The_magnitude_|H(ω)|_cannot_be_constant_in_any_finite_range_of_frequencies_and_the_transition_from_pass-band_to_stop-band_cannot_be_infinitely_sharp.$

A. True
B. False
Answer» B. False
Discussion
19.

If h(n) is absolutely summable, i.e., BIBO stable, then the equation for the frequency response H(ω) is given as?#

A. H<sub>I</sub>(ω)-j H<sub>R</sub>(ω)
B. H<sub>R</sub>(ω)-j H<sub>I</sub>(ω)
C. H<sub>R</sub>(ω)+j H<sub>I</sub>(ω)
D. H<sub>I</sub>(ω)+j H<sub>R</sub>(ω)
Answer» D. H<sub>I</sub>(‚âà√¨‚àö¬¢)+j H<sub>R</sub>(‚âà√¨‚àö¬¢)
Discussion
20.

If h(n) is causal and h(n)=he(n)+ho(n),then what is the expression for h(n) in terms of only he(n)?

A. h(n)=2h<sub>e</sub>(n)u(n)+h<sub>e</sub>(0)δ(n) ,n ≥ 0
B. h(n)=2h<sub>e</sub>(n)u(n)+h<sub>e</sub>(0)δ(n) ,n ≥ 1
C. h(n)=2h<sub>e</sub>(n)u(n)-h<sub>e</sub>(0)δ(n) ,n ≥ 1
D. h(n)=2h<sub>e</sub>(n)u(n)-h<sub>e</sub>(0)δ(n) ,n ≥ 0
Answer» E.
Discussion
21.

The magnitude function |H(ω)| can be zero at some frequencies, but it cannot be zero over any finite band of frequencies.$

A. True
B. False
Answer» B. False
Discussion
22.

The ideal low pass filter cannot be realized in practice.

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