4 Design Procedure for the Second Order Shelving Filter

The second order shelving filter can be described by the following Laplace polynomial:

Equation 7.

G (s) = - \frac{[s^{2} {C_{2} C}_{1} R_{1} R_{1} + s (C_{2} R_{2} + {2 C}_{2} R_{1}) + 1] ({s C_{3} R}_{3} + 2) (s C_{4} R_{4} + 1)}{[{s^{2} C_{4} C_{3} R}_{3} R_{3} + s (C_{4} R_{4} + 2 C_{4} R_{3}) + 1] (s C_{1} R_{1} + 2) ({s C_{2} R}_{2} + 1)} \times \frac{R_{3}}{R_{1}}

Equation 8.

G (s) = - \frac{[S_{0 x 12}] [S_{03}] [S_{04}]}{[S_{p x 34}] [S_{p 1}] [S_{P 2}]} \times g a i n