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Chebyshev Filter Lowpass Prototype Element Values

Lowpass Filters

(above)

Highpass Filters

(above)

Bandpass and Bandstop Filters

(above)

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 title line in table) or an input inductor (bottom title 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 denormalization equations. Complex poles are here.

Capacitor Input

Inductor Input

* Note: In the tables below of normalized Chebyshev filter components values, the right-most column is labeled "R_Load." This is necessary because even-order Chebyshev filters are not realizable when the source and termination impedances are exactly equal. A scaling factor is included for the termination impedance as shown.

Normalized Chebyshev element values, 0.01 dB ripple*

	Capacitor Input, R_S=R_L=1 Ω, f=1 rad/sec
Order	C1	L2	C3	L4	C5	L6	C7	L8	C9	R_Load
2	0.4489	0.4078								0.9085
3	0.6292	0.9703	0.6292							1
4	0.7129	1.2004	1.3213	0.6476						0.9085
5	0.7563	1.3049	1.5773	1.3049	0.7563					1
6	0.7814	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	0.7970			1
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	1
	L1	C2	L3	C4	L5	C6	L7	C8	L9	R_Load
	Inductor Input, R_S=R_L=1 Ω, f=1 rad/sec

Normalized Chebyshev element values, 0.1 dB ripple*

	Capacitor Input, R_S=R_L=1 Ω, f=1 rad/sec
Order	C1	L2	C3	L4	C5	L6	C7	L8	C9	R_Load
2	0.8431	0.6220								0.7378
3	1.0316	1.1474	1.0316							1
4	1.1088	1.3062	1.7704	0.8181						0.7378
5	1.1468	1.3712	1.9750	1.3712	1.1468					1
6	1.1681	1.4040	2.0562	1.5171	1.9029	0.8618				0.7378
7	1.1812	1.4228	2.0967	1.5734	2.0967	1.4228	1.1812			1
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	1
	L1	C2	L3	C4	L5	C6	L7	C8	L9	R_Load
	Inductor Input, R_S=R_L=1 Ω, f=1 rad/sec

Normalized Chebyshev element values, 0.20 dB ripple*

	Capacitor Input, R_S=R_L=1 Ω, f=1 rad/sec
Order	C1	L2	C3	L4	C5	L6	C7	L8	C9	R_Load
2	1.0379	0.6746								0.6499
3	1.2276	1.1525	1.2276							1
4	1.3029	1.2844	1.9762	0.8468						0.6499
5	1.3395	1.3370	2.1661	1.3370	1.3395					1
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			1
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	1
	L1	C2	L3	C4	L5	C6	L7	C8	L9	R_Load
	Inductor Input, R_S=R_L=1 Ω, f=1 rad/sec

Normalized Chebyshev element values, 0.5 dB ripple*

	Capacitor Input, R_S=R_L=1 Ω, f=1 rad/sec
Order	C1	L2	C3	L4	C5	L6	C7	L8	C9	R_Load
2	1.4029	0.7071								0.5040
3	1.5963	1.0967	1.5963							1
4	1.6704	1.1926	2.3662	0.8419						0.5040
5	1.7058	1.2296	2.5409	1.2296	1.7058					1
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			1
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	1
	L1	C2	L3	C4	L5	C6	L7	C8	L9	R_Load
	Inductor Input, R_S=R_L=1 Ω, f=1 rad/sec

Related Pages on RF Cafe

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- Butterworth Highpass, Bandpass, & Bandstop Filter Gain, Phase, and Group Delay Equations

- How to Use Filter Equations in a Spreadsheet

- Filter Transfer Functions

- Filter Equivalent Noise Bandwidth

- Filter Prototype Denormalization

- Bessel Filter Poles

- Bessel Filter Prototype Element Values

- Butterworth Lowpass Filter Poles

- Butterworth Filter Prototype Element Values

- Chebyshev Lowpass Filter Poles

- Chebyshev Filter Prototype Element Values

- Monolithic Ceramic Block Combline Bandpass Filters Design

- Coupled Microstrip Filters: Simple Methodologies for Improved Characteristics

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