Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
1 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:True
2 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
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:h(n)=2he(n)u(n)-he(0)δ(n), n ≥ 0
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3 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:h(n)=2ho(n)u(n)+h(0)δ(n), n ≥ 1
4 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:HR(ω)+j HI(ω)
5 HR(ω) and HI(ω) are interdependent and cannot be specified independently when the system is causal.
A True
B False

Answer:True
6 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:πδ(ω)+0.5-j0.5cot(ω/2)
7 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:False
8 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:True
9 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:Pass band edge ripple
10 Which of the following represents the bandwidth of the filter?
A ωP+ ωS
B -ωP+ ωS
C ωP-ωS
D None of the mentioned

Answer:-ωP+ ωS

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