Op Amps for Everyone, 5th Edition

16.9. Filter Coefficient Tables

The following tables contain the coefficients for the three filter types; Bessel, Butterworth, and Tschebyscheff. The Tschebyscheff tables (Table 16.11) are split into categories for the following passband ripples: 0.5, 1, 2, and 3 dB.

The table headers consist of the following quantities:

n is the filter order,

i is the number of the partial filter,

a_i and b_i are the filter coefficients,

Table 16.6

Bessel Coefficients

n	i	ai	bi	ki = fCi/fC	Qi
1	1	1.0000	0.0000	1.000	–
2	1	1.3617	0.6180	1.000	0.58
3	1	0.7560	0.0000	1.323	–
	2	0.9996	0.4772	1.414	0.69
4	1	1.3397	0.4889	0.978	0.52
	2	0.7743	0.3890	1.797	0.81
5	1	0.6656	0.0000	1.502	–
	2	1.1402	0.4128	1.184	0.56
	3	0.6216	0.3245	2.138	0.92
6	1	1.2217	0.3887	1.063	0.51
	2	0.9686	0.3505	1.431	0.61
	3	0.5131	0.2756	2.447	1.02
7	1	0.5937	0.0000	1.648	–
	2	1.0944 ...