Lab Worksheet Lab 5 by yyd29786


									ECEN 2260                     Circuits/Electronics 2                     Spring 2007
3-19-07                                                                      P. Mathys


Lab Worksheet: Lab 5                              Lab Section:

Q1. Describe how you verified that the SVF circuit that you built does indeed implement
a second order system with LP, BP and HP outputs. What was the value for ω0 for your

Q2. (a) For Rz in the range from 68 Ω to 200 kΩ, what values of the damping ratio ζ did
you measure? How did you measure these values? Did you use different methods depending
on the value of ζ? How did you verify that your measurements are correct? How did you
make sure that the OpAmps stayed in their linear region?

(b) What are the results of your analysis of the waveforms in signal01.wav and in signal02.wav.
Show how you computed the values of ω0 and ζ that characterize the SVF with which
the signals were produced. What feature of the SVF was changed during the recording of
signal02.wav? What values of Rw , C, R and Rz did you use when you recreated the
waveform in signal01.wav? What did the signal sound like and what could it be used for?

Q3. Attach a plot of the rectangular signal with the sinewave at the fundamental frequency
f1 = 1/T , where T is the period, removed by the BSF. After removing the fundamental
frequency component, does the signal still have the same period T ? Did the signals from
the BP and the BS output add up to a rectangular waveform? If not, why not? What is
the amplitude ratio A1 /A3 that you measured between the fundamental component and the
third harmonic of a 50% duty cycle rectangular waveform?

Q4. Attach plots of the magnitude and the phase of the frequency responses in the range
of about 20 Hz to 10 kHz of the elliptic filters with ωz = 2ω0 , ωz = 6ω0 , ωz = ω0 /2, and
ωz = ω0 /6, that you implemented and measured in E4. Include the graphs for all-pole LPFs
and HPFs for comparison.

Q5. Attach a plot of the magnitude and the phase response of the allpass filter that you
implemented. Also attach plots that show how the phase response affected the rectangular
signals with frequencies of 1 kHz and 2 kHz. What can you say about the importance of
the phase response of a filter, especially in connection with the transmission of rectangular
shaped digital signals?

Q6. What was the most important thing you learned in this lab?

Q7. What was the most interesting aspect of this lab?

Q8. How could this lab be improved?

c 2003–2007, P. Mathys.                                              Last revised: 3-22-07, PM.


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