Designing All-Pole Filters for High-Frequency Phase-Locked Loops

Table 1

Stability threshold for standard filters.

Order	Butterworth	Chebyshev	Bessel	Gaussian
2	1.4142	2.3998	3.0000	2.1974
3	0.7500	0.9205	2.0833	1.1665
4	0.5719	0.6106	1.8883	0.8688
5	0.4705	0.4499	1.8069	0.7195
6	0.3982	0.3501	1.7598	0.6264
7	0.3444	0.2910	1.7286	0.5613