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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 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 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 - RF Cafe

Capacitor Input

Prototype filter schematic - inductor input - RF Cafe

Inductor Input

* Note: In the tables below of normalized Chebyshev filter components values, the right-most column is labeled "RLoad." 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*

Order C1 L2 C3 L4 C5 L6 C7 L8 C9 RLoad
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 RLoad

Normalized Chebyshev element values, 0.1 dB ripple*

Order C1 L2 C3 L4 C5 L6 C7 L8 C9 RLoad
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 RLoad

Normalized Chebyshev element values, 0.20 dB ripple*

Order C1 L2 C3 L4 C5 L6 C7 L8 C9 RLoad
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 RLoad

Normalized Chebyshev element values, 0.5 dB ripple*

Order C1 L2 C3 L4 C5 L6 C7 L8 C9 RLoad
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 RLoad
Related Pages on RF Cafe
- Filter Transfer Functions
- Filter Equivalent Noise Bandwidth
- Filter Prototype Denormalization
- Filter Design Resources
- 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