By A.G.Akimov, M.Yu.Barabanenkov, M.L.Baranochnikov, A.V.Leonov, A.D.Mokrushin, and N.M.Omel'yanovskaya
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Extra info for A Controllable Resistor with Features of a Field-Effect Transistor and Field Hall-Effect Sensor.
I tried several commercial values of C to see what R would be. I not only looked for reasonably close commercial values of R but also for an R of at least 1 kΩ to keep proper values around the op-amp. 0022 μF, R = 1 kΩ. 98 but…), so I choose to use a gain of 1 for each stage except the last. There I will use a 3-kΩ resistor and a 1-kΩ resistor to provide the gain of 4. This circuit has nine identical stages, all with a gain of 1, and a tenth stage with a gain of 4. All use the same values of R and C.
Whew, you say, that does it. Nope! What about the overall gain of the two stages together? We are supposed to have 12 dB in the passband. But each stage provides a gain of only k (see the H(s) in Fig. 31 if you don’t remember this). Hence we must add a stage of gain. 18 dB. 552. 552R1. 1 kΩ, R1 = 2 kΩ. Now put all this together, namely, two second-order stages and one stage to adjust the overall gain. Fig. 32 shows the final circuit, and Fig. 33 is the plot to verify that this works. 4 Chebychev Design Mr.
820 40 π Whew! The final design is shown in Fig. 20 and a plot of the actual gain versus frequency is in Fig. 21. The design looks acceptable. Check it against specs! 4 SECOND-ORDER DESIGN Second-order circuits are particularly neat because they can provide two poles with only one op-amp. Their poles can be complex, too, whereas the models we have seen so far can’t do this. So second-order circuits give us a wider range of models for filter design. 20: Final design. shown in Fig. 22. Note that both resistors have the same value, as do both capacitors.