Chebyshev Filter Prototype Element Values

The table below lists prototype element values for the normalized lowpass function, which assumes a cutoff frequency of 1 rad/sec and source and load impedances of 1 Ω. Either an input capacitor (top reference line in table) or an input inductor (bottom line in table) can be used. Note that for even order filters, the 0 Hz (DC) insertion loss is equal to the ripple value.

Convert values to other cutoff frequencies, impedances, and to highpass, bandpass or bandstop using the equations here.

See the online filter calculators and plotters here.

Complex poles are here.

Denormalization of values is here.

Prototype filter schematic - capacitor input
Capacitor Input

Prototype filter schematic - inductor input
Inductor Input

Normalized Chebyshev element values, 0.01 dB ripple

Order	C1	L2	C3	L4	C5	L6	C7	L8	C9
2	0.4489	0.4078	0.9085
3	0.6292	0.9703	0.6292
4	0.7129	1.2004	1.3213	0.6476	0.9085
5	0.7653	1.3049	1.5773	1.3049	0.7563
6	.07814	1.3600	1.6897	1.5350	1.4970	0.7098	0.9085
7	0.7970	1.3924	1.7481	1.6331	1.7481	1.3924	.07970
8	0.8073	1.4131	1.7824	1.6833	1.8529	1.6193	1.5555	0.7334	0.9085
9	0.8145	1.4271	1.8044	1.7125	1.9058	1.7125	1.8044	1.4271	0.8145
	L1	C2	L3	C4	L5	C6	L7	C8	L9

Normalized Chebyshev element values, 0.1 dB ripple

Order	C1	L2	C3	L4	C5	L6	C7	L8	C9
2	0.8431	0.6220	.07378
3	1.0316	1.1474	1.0316
4	1.1088	1.3062	1.7704	0.8181	0.7378
5	1.1468	1.3712	1.9750	1.3712	1.1468
6	1.1681	1.4040	2.0562	1.5171	1.9029	0.8618	.07378
7	1.1812	1.4228	2.0967	1.5374	2.0967	1.4228	1.1812
8	1.1898	1.4346	2.1199	1.6010	2.1700	1.5641	1.9445	0.8778	0.7378
9	1.1957	1.4426	2.1346	1.6167	2.2054	1.6167	2.1346	1.4426	1.1957
	L1	C2	L3	C4	L5	C6	L7	C8	L9

Normalized Chebyshev element values, 0.20 dB ripple

Order	C1	L2	C3	L4	C5	L6	C7	L8	C9
2	1.0379	.06746	0.6499
3	1.2276	1.1525	1.2276
4	1.3029	1.2844	1.9762	0.8468	0.6499
5	1.3395	1.3370	2.1661	1.3370	1.3395
6	1.3598	1.3632	2.2395	1.4556	2.0974	0.8838	0.6499
7	1.3723	1.3782	2.2757	1.5002	2.2757	1.3782	1.3723
8	1.3804	1.3876	2.2964	1.5218	2.3414	1.4925	2.1349	0.8972	0.6499
9	1.3861	1.3939	2.3094	1.5340	2.3728	1.5340	2.3094	1.3939	1.3861
	L1	C2	L3	C4	L5	C6	L7	C8	L9

Normalized Chebyshev element values, 0.5 dB ripple

Order	C1	L2	C3	L4	C5	L6	C7	L8	C9
2	1.4029	0.7071	0.5040
3	1.5963	1.0967	1.5963
4	1.6704	1.1926	2.3662	0.8419	.05040
5	1.7058	1.2296	2.5409	1.2296	1.7058
6	1.7254	1.2478	2.6064	1.3136	2.4759	0.8696	0.5040
7	1.7373	1.2582	2.6383	1.3443	2.6383	1.2582	1.7373
8	1.7451	1.2647	2.6565	1.3590	2.6965	1.3389	2.5093	0.8795	0.5040
9	1.7505	1.2690	2.6678	1.3673	2.7240	1.3673	2.6678	1.2690	1.7505
	L1	C2	L3	C4	L5	C6	L7	C8	L9

Webmaster: Kirt Blattenberger, BSEE, UVM 1989