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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) If the signal to be analyzed is an analog signal, we would pass it through an anti-aliasing filter with B as the bandwidth of the filtered signal and then the signal is sampled at a rate __________
[A] Fs ≤ 2B
[B] Fs ≤ B
[C] Fs ≥ 2B
[D] Fs = 2B
Answer: Fs ≥ 2B
(2) What is the highest frequency that is contained in the sampled signal?
[A] 2Fs
[B] Fs/2
[C] Fs
[D] None of the mentioned
Answer: Fs/2

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(3) The finite observation interval for the signal places a limit on the frequency resolution.
[A] True
[B] False
Answer: True
(4) If {x(n)} is the signal to be analyzed, limiting the duration of the sequence to L samples, in the interval 0≤ n≤ L-1, is equivalent to multiplying {x(n)} by?
[A] Kaiser window
[B] Hamming window
[C] Hamming window
[D] Hamming window
Answer: Hamming window
(5) If x(n)=cosω0n and W(ω) is the Fourier transform of the rectangular signal w(n), then what is the Fourier transform of the signal x(n).w(n)?
[A] 1/2[W(ω-ω0)- W(ω+ω0)]
[B] 1/2[W(ω-ω0)+ W(ω+ω0)]
[C] [W(ω-ω0)+ W(ω+ω0)]
[D] [W(ω-ω0)- W(ω+ω0)]
Answer: 1/2[W(ω-ω0)+ W(ω+ω0)]
(6) The characteristic of windowing the signal called “Leakage” is the power that is leaked out into the entire frequency range.
[A] True
[B] False
Answer: True
(7) Which of the following is the advantage of Hanning window over rectangular window?
[A] More side lobes
[B] Less side lobes
[C] More width of main lobe
[D] None of the mentioned
Answer: Less side lobe
(8) Which of the following is the disadvantage of Hanning window over rectangular window?
[A] More side lobes
[B] Less side lobes
[C] More width of main lobe
[D] None of the mentioned
Answer: More width of main lobe
(9) The condition with less number of samples L should be avoided.
[A] True
[B] False
Answer: True
(10) Which of the following is true regarding the number of computations required to compute an N-point DFT?
[A] N2 complex multiplications and N(N-1) complex additions
[B] N2 complex additions and N(N-1) complex multiplications
[C] N2 complex multiplications and N(N+1) complex additions
[D] N2 complex additions and N(N+1) complex multiplications
Answer: N2 complex multiplications and N(N-1) complex additions

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