Explore topic-wise MCQs in Digital Signal Processing.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.

1.

Which of the following condition is true?

A. N ( frac{log u2061( frac{1}{k})}{log u2061( frac{1}{d})} )
B. N ( frac{log u2061(k)}{log u2061(d)} )
C. N ( frac{log u2061(d)}{log u2061(k)} )
D. N ( frac{log u2061( frac{1}{d})}{log u2061( frac{1}{k})} )
Answer» E.
Discussion
2.

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» C. 4
Discussion
3.

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» D. 2 Hz
Discussion
4.

If H(s)= ( frac{1}{s^2+s+1} ) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a stop band filter with a stop band of 2 rad/sec and a center frequency of 10 rad/sec?

A. ( frac{(s^2+100)^2}{s^4+2s^3+204s^2+200s+10^4} )
B. ( frac{(s^2+10)^2}{s^4+2s^3+204s^2+200s+10^4} )
C. ( frac{(s^2+10)^2}{s^4+2s^3+400s^2+200s+10^4} )
D. None of the mentioned
Answer» B. ( frac{(s^2+10)^2}{s^4+2s^3+204s^2+200s+10^4} )
Discussion
5.

If H(s)= ( frac{1}{s^2+s+1} ) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a band pass filter with a pass band of 10 rad/sec and a center frequency of 100 rad/sec?

A. ( frac{s^2}{s^4+10s^3+20100s^2+10^5 s+1} )
B. ( frac{100s^2}{s^4+10s^3+20100s^2+10^5 s+1} )
C. ( frac{s^2}{s^4+10s^3+20100s^2+10^5 s+10^8} )
D. ( frac{100s^2}{s^4+10s^3+20100s^2+10^5 s+10^8} )
Answer» E.
Discussion
6.

If H(s)= ( frac{1}{s^2+s+1} ) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a high pass filter with a cutoff frequency of 10 rad/sec?

A. ( frac{100}{s^2+10s+100} )
B. ( frac{s^2}{s^2+s+1} )
C. ( frac{s^2}{s^2+10s+100} )
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
7.

If H(s)= ( frac{1}{s^2+s+1} ) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a high pass filter with a cutoff frequency of 1rad/sec?

A. ( frac{100}{s^2+10s+100} )
B. ( frac{s^2}{s^2+s+1} )
C. ( frac{s^2}{s^2+10s+100} )
D. None of the mentioned
Answer» C. ( frac{s^2}{s^2+10s+100} )
Discussion
8.

If H(s)= ( frac{1}{s^2+s+1} ) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a low pass filter with a pass band 10 rad/sec?

A. ( frac{100}{s^2+10s+100} )
B. ( frac{s^2}{s^2+s+1} )
C. ( frac{s^2}{s^2+10s+100} )
D. None of the mentioned
Answer» B. ( frac{s^2}{s^2+s+1} )
Discussion
9.

What is the system function of the Butterworth filter with specifications as pass band gain KP=-1 dB at P=4 rad/sec and stop band attenuation greater than or equal to 20dB at S=8 rad/sec?

A. ( frac{1}{s^5+14.82s^4+109.8s^3+502.6s^2+1422.3s+2012.4} )
B. ( frac{1}{s^5+14.82s^4+109.8s^3+502.6s^2+1422.3s+1} )
C. ( frac{2012.4}{s^5+14.82s^4+109.8s^3+502.6s^2+1422.3s+2012.4} )
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
10.

What is the cutoff frequency of the Butterworth filter with a pass band gain KP=-1 dB at P=4 rad/sec and stop band attenuation greater than or equal to 20dB at S=8 rad/sec?

A. 3.5787 rad/sec
B. 1.069 rad/sec
C. 6 rad/sec
D. 4.5787 rad/sec
Answer» E.
Discussion