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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) Is IIR Filter design by Bilinear Transformation is the advanced technique when compared to other design techniques?
[A] True
[B] False
Answer: True
(2) In the Bilinear Transformation mapping, which of the following are correct?
[A] All points in the LHP of s are mapped inside the unit circle in the z-plane
[B] All points in the RHP of s are mapped outside the unit circle in the z-plane
[C] All points in the LHP & RHP of s are mapped inside & outside the unit circle in the z-plane
[D] None of the mentioned
Answer: All points in the LHP & RHP of s are mapped inside & outside the unit circle in the z-plane

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(3) Which of the following is a frequency domain specification?
[A] 0 ≥ 20 log|H(jΩ)|
[B] 20 log|H(jΩ)| ≥ KP
[C] 20 log|H(jΩ)| ≤ KS
[D] All of the mentioned
Answer: All of the mentioned
(4) The cutoff frequency of the low pass Butterworth filter is the arithmetic mean of the two cutoff frequencies as found above.
[A] True
[B] False
Answer: True
(5) What is the lowest order of the Butterworth filter with a pass band gain KP=-1 dB at ΩP=4 rad/sec and stop band attenuation greater than or equal to 20dB at ΩS = 8 rad/sec?
[A] 4
[B] 5
[C] 6
[D] 3
Answer: 5
(6) What is the cutoff frequency of the Butterworth filter with a pass band gain KP=-1 dB at ΩP=4 rad/sec and stop band attenuation greater than or equal to 20dB at ΩS=8 rad/sec?
[A] 3.5787 rad/sec
[B] 1.069 rad/sec
[C] 6 rad/sec
[D] 4.5787 rad/sec
Answer: 4.5787 rad/sec
(7) What is the stop band frequency of the normalized low pass Butterworth filter used to design a analog band pass filter with -3.0103dB upper and lower cutoff frequency of 50Hz and 20KHz and a stop band attenuation 20dB at 20Hz and 45KHz?
[A] 2 rad/sec
[B] 2.25 Hz
[C] 2.25 rad/sec
[D] 2 Hz
Answer: 2.25 rad/sec
(8) What is the order of the normalized low pass Butterworth filter used to design a analog band pass filter with -3.0103dB upper and lower cutoff frequency of 50Hz and 20KHz and a stop band attenuation 20dB at 20Hz and 45KHz?
[A] 2
[B] 3
[C] 4
[D] 5
Answer: 3
(9) Which of the following defines a chebyshev polynomial of order N, TN(x)?
[A] cos(Ncos-1x) for all x
[B] cosh(Ncosh-1x) for all x
[C] cos(Ncos-1x), |x|<1
cosh(Ncosh-1x), |x|>1
[D] None of the mentioned
Answer: cos(Ncos-1x), |x|<1
cosh(Ncosh-1x), |x|>1
(10) What is the formula for chebyshev polynomial TN(x) in recursive form?
[A] 2TN-1(x) – TN-2(x)
[B] 2TN-1(x) + TN-2(x)
[C] 2xTN-1(x) + TN-2(x)
[D] 2xTN-1(x) – TN-2(x)
Answer: 2xTN-1(x) – TN-2(x)

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