= Sallen-Key low-pass filter
{c}
{title2=$G(s)=K/[1+as+bs^2]$}
A second-order active low-pass architecture using a non-inverting amplifier and a resistor-capacitor network with output feedback into the network. For the convention with $R_1$ from source to A, $R_2$ from A to the non-inverting input, $C_2$ from that input to ground and $C_1$ from A to output, $a=C_1R_1(1-K)+C_2(R_1+R_2)$ and $b=R_1R_2C_1C_2$. The <poles>, not merely finite values of $G(i\omega)$, determine whether a settled sinusoidal response exists.<Analysis of the Sallen-Key Architecture by James Karki>[Section 3, low-pass transfer-function derivation]{ref}
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