hw2 - EE315A Spring 2009 B Murmann Page 1 of 2...

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EE315A Spring 2009 B. Murmann Page 1 of 2 Last modified 4/12/09 6:51 PM HOMEWORK #2 (Due: Thursday, April 16, 2009, 1pm PT) 1. Design a 4 th order Butterworth lowpass filter with 0.3 dB maximum attenuation (worst case) in the passband (0 Hz to 500 kHz) and a nominal gain of 1. Implement the design using two Sallen-Key sections. The available resistors exhibit worst-case variations of ± 15%, capacitors vary by ± 10%. The resistors and capacitors, respectively, vary by the same percentage. E.g. if R 1 increases by 5% from 1 k Ω to 1.05 k Ω , all other resistors increase also by 5%. Likewise, all capacitors change by equal percentages. Note, however, that the resistor and capacitor variations are uncorrelated, i.e. they usually change by different percentages. This is typical for components fabricated on an integrated circuit. In your design, the (nominal) resistor values must be no larger than 100 k Ω and the capacitor values should be minimized. Set G=1 for both stages.
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