A biquad filter has the unique properties of having the ability to alter the filter's parameters, namely, gain \(K\), quality factor \(Q\), and resonant frequency \(\omega_{0}\). This is done in each case by simply adjusting one of the circuit's resistors. Furthermore, adjusting any of the three parameters leaves the others unchanged. Derive the transfer function for the biquad circuit in Figure P14=56 and determine which resistors influence each parameter. Show from the transfer function how you can adjust three resistors in a specific order to set all three parameters. Then design a biquad filter with an \(\omega_{0}=1 \mathrm{krad} / \mathrm{s}\), a \(Q\) of 10 , and a \(K\) of -5 . Verify your design using Multisim.

Transcribed Image Text:

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