Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
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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