Second-Order Unity-Gain Tschebyscheff Low-Pass with 3-dB Ripple

Second-Order Unity-Gain Tschebyscheff Low-Pass Filter The task is to design a second-order unity-gain Tschebyscheff low-pass filter with a corner frequency of f C = 3 kHz and a 3-dB passband ripple. From Table 16–9 (the Tschebyscheff coefficients for 3-dB ripple), obtain the coefficients a 1 and b 1 for a second-order filter with a 1 = 1.0650 and b 1 = 1.9305. Specifying C 1 as 22 nF yields in a C 2 of: C 2 w C 1 4b 1 a 12 + 22·10 *9 nF · 4 ·1.9305 ^ 150 nF 1.065 2 Inserting a 1 and b 1 into the resistor equation for R 1,2 results in: R 1 + 1.065·150·10 *9 * Ǹ ǒ 1.065·150·10 *9 Ǔ 2 * 4·1.9305·22·10 *9 ·150·10 *9 4p·3·10 3 ·22·10 *9 ·150·10 *9 + 1.26 kW and R 2 + 1.065·150·10 *9 ) Ǹ ǒ 1.065·150·10 *9 Ǔ 2 * 4·1.9305·22·10 *9 ·150·10 *9 4p·3·10 3 ·22·10 *9 ·150·10 *9 + 1.30 kW