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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(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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