Which of the following condition is true?

N ( frac{log u2061( frac{1}{k})}{log u2061( frac{1}{d})} )

N ( frac{log u2061(k)}{log u2061(d)} )

N ( frac{log u2061(d)}{log u2061(k)} )

N ( frac{log u2061( frac{1}{d})}{log u2061( frac{1}{k})} )

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?

( frac{(s^2+10)^2}{s^4+2s^3+204s^2+200s+10^4} )

( frac{(s^2+100)^2}{s^4+2s^3+204s^2+200s+10^4} )

( frac{(s^2+10)^2}{s^4+2s^3+204s^2+200s+10^4} )

( frac{(s^2+10)^2}{s^4+2s^3+400s^2+200s+10^4} )

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 band pass filter with a pass band of 10 rad/sec and a center frequency of 100 rad/sec?

( frac{s^2}{s^4+10s^3+20100s^2+10^5 s+1} )

( frac{100s^2}{s^4+10s^3+20100s^2+10^5 s+1} )

( frac{s^2}{s^4+10s^3+20100s^2+10^5 s+10^8} )

( frac{100s^2}{s^4+10s^3+20100s^2+10^5 s+10^8} )

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?

( frac{1}{s^5+14.82s^4+109.8s^3+502.6s^2+1422.3s+2012.4} )

( frac{1}{s^5+14.82s^4+109.8s^3+502.6s^2+1422.3s+1} )

( frac{2012.4}{s^5+14.82s^4+109.8s^3+502.6s^2+1422.3s+2012.4} )

10 + Mcqs in Design of Low Pass Butterworth Filters 2 in Digital Signal Processing Page 1 McqOptions

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 K_P=-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 K_P=-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

Explore topic-wise MCQs in Digital Signal Processing.

Which of the following condition is true?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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

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