third-order Butterworth low-pass filter (LT SPICE SIMULATION) - Need in 1.5 HOURS
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LT SPICE
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Design a third-order Butterworth low-pass filter using a Sallen-Key structure. For the
maximally-flat response, the poles should be placed on a circle. The filter should have 0dB
passband gain and a −3dB cut-off frequency of 100 kHz. In the experiment, you are to
report the following. Note that the input amplitude and frequency should stay within the
maximum power bandwidth set by the slew rate. Use the uA741 instead of LM301 for your
opamp buffer(s) to make life easier.
1. Get the three pole locations on the unit circle in the s-plane, and scale the transfer
function for 100kHz cut-off frequency. (You can look up the Butterworth polynomials from
somewhere such as Wikipedia, but for this case you should also be able to easily find them from
the lecture notes since for odd order one of the poles must be real, and the spacing is 180 degrees / N where N is the filter order.
2. Draw the schematic of how you plan to implement this third order filter, and derive the third-order transfer function symbolic expression.
3. Determine all R and C values, and confirm the filter gain and phase responses with SPICE simulations. Also show by what percent the phase deviates from that we would get for an ideal linear-phase filter at the cut-off frequency, if the linear phase filter had the same group delay as our filter at DC.