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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 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 - RF Cafe
Capacitor Input
Prototype filter schematic - inductor input - RF Cafe
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 0.7563 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


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