Version of 7. , using 30 points from 5 rad/s to 5 krad/s. Paste your plot below. Remember to label your plot.

Transcription

1 Version of 7 Your Name Passive and Ative Filters Date ompleted PELAB MATLAB = 1000 s , using 30 points from 5 rad/s to 5 krad/s. Paste your plot below. emember to label your plot. 1. reate a magnitude and phase Bode plot for the transfer funtion H ( s) 2. What happens if you use the BODE ommand without return arguments (i.e.: bode(den,num))? USING LABVIEW TO EATE BODE PLOTS 3. Below is a sample data file reated by the Bode plot VI. Write the MATLAB ode to open this file and read in values for the frequeny and the magnitude (Hint: Use the DLMEAD ommand). emember that the frequeny needs to be onverted from Hertz to radians per seond. File name: lowpass.txt 5.000, , , , , , , LOW PASS FILTES 4. What is the transfer funtion of the low pass filter in Figure 3 of the lab experiment? 5. If the value of the apaitor is = 100 nf, what value of resistor will result in a utoff frequeny! = 1.47 k rad/s? HIGH PASS FILTES 6. What is the transfer funtion of the high pass filter in Figure 4 of the lab experiment? 7. If = 0.47 µf, what value of resistor will result in a utoff frequeny! = 645 rad/s? 8. Is the iruit in Figure A a filter? If so, what type of filter? If not, explain why.

2 Version of 7 VS VO Figure A. An iruit. DIFFEENTIATOS 9. What is the transfer funtion of the differentiator in Figure 5 of the lab experiment? 10. If the value of the resistor = 8.2 kω, what value of apaitor will result in a unitygain frequeny! o = 1.2 krad/s? INTEGATOS 11. What is the transfer funtion of the integrator in Figure 6 of the lab experiment? 12. hoose omponents for the integrator that result in a unity-gain frequeny! o = 1.2 k rad/s. hoose iruit elements with values that an be realized using your set of resistors and apaitors. ATIVE LOW PASS FILTES 13. Determine the transfer funtion of the ative low pass filter shown in Figure 7 of the lab experiment. 14. Design an ative low pass filter with a utoff frequeny! = 1.47 k rad/s and a D gain of 2. hoose iruit elements with values that an be realized using your set of resistors and apaitors. ATIVE HIGH PASS FILTES 15. Determine the transfer funtion of the ative high pass filter shown in Figure 8 of the lab experiment. 16. Design an ative high pass filter with a utoff frequeny! = 645 rad/s and a D gain of 2. hoose iruit elements with values that an be realized using your set of resistors and apaitors. ATIVE BAND PASS FILTES 17. Determine the transfer funtion of the ative band pass filter in Figure 9 of the lab experiment. 18. Determine a pair of values for 1 and 1 that result in a lower utoff frequeny! l = 645 rad/s. hoose values that an be realized using your set of resistors and apaitors.

3 Version of Determine a pair of values for 2 and 2 that result in an upper utoff frequeny! h = 1.47 k rad/s. hoose values that an be realized using your set of resistors and apaitors. ATIVE TONE ONTOL Bass ontrol 20. If 1 = 12 kω and 2 = 100 kω, what would be the range of A B? 21. Using the values obtained Question 20, what is the maximum ut? The maximum boost? 22. What value of apaitor 1 would result in a value of! B = 210 rad/s? Treble ontrol 23. If 1 = 5 = 12 kω, 3 = 3.9 kω, and 4 = 500 kω, what would be the range of A T? 24. Using the values obtained from Question 23, what is the maximum ut? The maximum boost? 25. What value of apaitor 2 would result in a value of! T = 54.5 k rad/s? LAB LOW PASS FILTES 26. Measure and reord the values for the resistor and apaitor in Table A, along with the omputed value of. Table A. Nominal and s for Low Pass Filter. 27. Use MATLAB to reate three magnitude Bode plots for the low pass filter. For the first values from Table A, respetively, and a frequeny range of 10π rad/s ω 20,000π legend indiating what eah urve is. Your plot should look similar to the plot in Figure 13 of the lab exerise. Paste a opy of your plot below. 28. Using the Bode plot of the empirial data, determine the utoff frequeny of the iruit 29. alulate the perent error in the utoff frequeny between the nominal value and the

4 Version of 7 HIGH PASS FILTES 30. Measure and reord the values for the resistor and apaitor in Table B, along with the omputed value of. Table B. Nominal and s for High Pass Filter. 31. Use MATLAB to reate three magnitude Bode plots for the high pass filter. For the first values from Table B, respetively, and a frequeny range of 10π rad/s ω 20,000π 32. Using the Bode plot of the empirial data, determine the utoff frequeny of the iruit 33. alulate the perent error in the utoff frequeny between the nominal value and the DIFFEENTIATOS 34. Measure and reord the values for the resistor and apaitor in Table, along with the omputed value of ω o. ω o Table. Nominal and s for Differentiator. 35. Use MATLAB to reate three magnitude Bode plots for the differentiator. For the first values from Table, respetively, and a frequeny range of 10π rad/s ω 6,000π 36. At what frequeny does the iruit start to fail (saturate)? INTEGATOS 37. Measure and reord the values for the resistor and apaitor in Table D, along with the omputed value of ω o.

5 Version of 7 ω o Table D. Nominal and s for Integrator. 38. Use MATLAB to reate three magnitude Bode plots for the integrator. For the first and seond plots, use the transfer funtion of the iruit with the nominal and measured values from Table D, respetively, and a frequeny range of 200π rad/s ω 20,000π 39. At what frequeny values ω does this iruit provide magnifiation? Attenuation? 40. At what frequeny does the iruit start to fail (saturate)? ATIVE LOW PASS FILTES 41. Measure and reord the values for the resistors and the apaitor in Table E, along with the omputed values for, and the gain A. 1 2 A Table E. Nominal and s for Ative Low Pass Filter. 42. Use MATLAB to reate three magnitude Bode plots for the high pass filter. For the first values from Table E, respetively, and a frequeny range of 10π rad/s ω 20,000π 43. Using the Bode plot of the empirial data, determine the utoff frequeny of the iruit 44. alulate the perent error in the utoff frequeny between the nominal value and the ATIVE HIGH PASS FILTES 45. Measure and reord the values for the resistors and apaitor in Table F, along with the omputed values for and the gain, A.

6 Version of A Table F. Nominal and s for Ative High Pass Filter. 46. Use MATLAB to reate three magnitude Bode plots for the high pass filter. For the first values from Table F, respetively, and a frequeny range of 10π rad/s ω 20,000π 47. Using the Bode plot of the empirial data, determine the utoff frequeny of the iruit 48. alulate the perent error in the utoff frequeny between the nominal value and the ATIVE BAND PASS FILTES 49. Measure and reord the values for the resistors and apaitors in Table G, along with the omputed values for ω o, l, h, β, Q, and the gain, A ω o l h β Q A Table G. Nominal and s for Ative Band Pass Filter. 50. Use MATLAB to reate three magnitude Bode plots for the high pass filter. For the first values from Table G, respetively, and a frequeny range of 10π rad/s ω 20,000π 51. Using the Bode plot of the empirial data, determine the lower utoff frequeny of the iruit

7 Version of alulate the perent error in the lower utoff frequeny between the nominal value and the 53. Using the Bode plot of the empirial data, determine the upper utoff frequeny of the iruit 54. alulate the perent error in the upper utoff frequeny between the nominal value and the ATIVE TONE ONTOL 55. Use MATLAB to reate magnitude Bode plots for the bass and treble ontrollers using the empirial data generated by the Bode plot VI. You should have a total of 10 urves on your plot. When plotting the data, plot the bass ontrol responses in blue and plot the treble ontrol responses in red. Make sure to label your plot and inlude a legend indiating whih urves are from the bass ontroller and whih are from the treble ontroller. Your plot should look similar to the plot in Figure 14 of the lab exerise. Paste a opy of your plot below. 56. Adjust both potentiometers so you an see an obvious differene between V S and V O on the osillosope. apture the osillosope sreen and paste it below. 57. Leaving the iruit onneted, disable the power to the op amp. You should barely be able to hear the radio signal. Does adjusting the potentiometers affet the signal you hear?