Rauch band-pass (inverting)

Transfer function: $H(j\omega )=A.\frac{2m.j{\displaystyle \frac{\omega }{{\omega }_0}}}{1+2m.j{\displaystyle \frac{\omega }{{\omega }_0}}+{\left(j{\displaystyle \frac{\omega }{{\omega }_0}}\right)}^2}$

Gain in the bandwidth: $A=-\frac{R_3}{2R_1}$

Center frequency: $f_0=\frac{1}{2\pi .C\sqrt{(R_1\parallel R_2)R_3}}$

Damping coefficient: $m=\sqrt{\frac{\left(R_1\parallel R_2\right)}{R_3}}$

Band width: $∆\omega =2m.{\omega }_0=\frac{2}{R_{3}C}$