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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) How is the frequency response of an ideal differentiator related to the frequency?
[A] Inversely proportional
[B] Linearly proportional
[C] Quadratic
[D] None of the mentioned
Answer: Linearly proportional
(2) Which of the following is the frequency response of an ideal differentiator, Hd(ω)?
[A] -jω ; -π ≤ ω ≤ π
[B] -jω ; 0 ≤ ω ≤ π
[C] jω ; 0 ≤ ω ≤ π
[D] jω ; -π ≤ ω ≤ π
Answer: jω ; -π ≤ ω ≤ π

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(3) The ideal differentiator ahs which of the following unit sample response?
[A] Symmetric
[B] Anti-symmetric
[C] Cannot be explained
[D] None of the mentioned
Answer: Anti-symmetric
(4) If hd(n) is the unit sample response of an ideal differentiator, then what is the value of hd(0)?
[A] 1
[B] -1
[C] 0
[D] 0.5
Answer: 0
(5) In this section, we confine our attention to FIR designs in which h(n)=-h(M-1-n).
[A] True
[B] False
Answer: True
(6) Which of the following is the condition that an differentiator should satisfy?
[A] Infinite response at zero frequency
[B] Finite response at zero frequency
[C] Negative response at zero frequency
[D] Zero response at zero frequency
Answer: Zero response at zero frequency
(7) Full band differentiators can be achieved with an FIR filters having odd number of coefficients.
[A] True
[B] False
Answer: False
(8) If fp is the bandwidth of the differentiator, then the desired frequency characteristic should be linear in the range of _____________
[A] 0 ≤ ω ≤ 2π
[B] 0 ≤ ω ≤ 2fp
[C] 0 ≤ ω ≤ 2πfp
[D] None of the mentioned
Answer: 0 ≤ ω ≤ 2πfp
(9) What is the desired response of the differentiator in the frequency range 2πfp ≤ ω ≤ π?
[A] Left unconstrained
[B] Constrained to be zero
[C] Left unconstrained or Constrained to be zero
[D] None of the mentioned
Answer: Left unconstrained or Constrained to be zero
(10) What is the weighting function used in the design of FIR differentiators based on the chebyshev approximation criterion?
[A] 1/ω
[B] ω
[C] 1+ω
[D] 1-ω
Answer: 1/ω

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