indulis said:
OK...... so what your "saying" is that, in a second order Butterworth low pass filter, there is gain just prior to the corner frequency due to "positive feedback"??? The transfer function only has poles and NO zeros, how can that be???
The opamp provides the majical gain for some positive feedback and boost.
In my example of a Sallen-Key lowpass 2nd-order filter that has equal component values:
1) At low frequencies, C1 and C2 have a high impedance and don't affect the response which is flat.
2) At high frequencies, C2 rolls-off the response so the opamp's output is lower than its input, then C1 also rolls-off the response.
3) Near the cutoff frequency, C2 doesn't roll-off the response very much so there is positive feedback through C1 to the input which provides a boost.
The boost is exactly the same as in my bass-boost circuit, except it is less because the opamp's gain is less.
View attachment 38081
View attachment 38082