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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
OrderC1L2C3L4C5L6C7L8C9
20.44890.40780.9085      
30.62920.97030.6292      
40.71291.20041.32130.64760.9085    
50.75631.30491.57731.30490.7563    
6.078141.36001.68971.53501.49700.70980.9085  
70.79701.39241.74811.63311.74811.3924.07970  
80.80731.41311.78241.68331.85291.61931.55550.73340.9085
90.81451.42711.80441.71251.90581.71251.80441.42710.8145
 L1C2L3C4L5C6L7C8L9


Normalized Chebyshev element values, 0.1 dB ripple
OrderC1L2C3L4C5L6C7L8C9
20.84310.6220.07378      
31.03161.14741.0316      
41.10881.30621.77040.81810.7378    
51.14681.37121.97501.37121.1468    
61.16811.40402.05621.51711.90290.8618.07378  
71.18121.42282.09671.53742.09671.42281.1812  
81.18981.43462.11991.60102.17001.56411.94450.87780.7378
91.19571.44262.13461.61672.20541.61672.13461.44261.1957
 L1C2L3C4L5C6L7C8L9


Normalized Chebyshev element values, 0.20 dB ripple
OrderC1L2C3L4C5L6C7L8C9
21.0379.067460.6499      
31.22761.15251.2276      
41.30291.28441.97620.84680.6499    
51.33951.33702.16611.33701.3395    
61.35981.36322.23951.45562.09740.88380.6499  
71.37231.37822.27571.50022.27571.37821.3723  
81.38041.38762.29641.52182.34141.49252.13490.89720.6499
91.38611.39392.30941.53402.37281.53402.30941.39391.3861
 L1C2L3C4L5C6L7C8L9


Normalized Chebyshev element values, 0.5 dB ripple
OrderC1L2C3L4C5L6C7L8C9
21.40290.70710.5040      
31.59631.09671.5963      
41.67041.19262.36620.8419.05040    
51.70581.22962.54091.22961.7058    
61.72541.24782.60641.31362.47590.86960.5040  
71.73731.25822.63831.34432.63831.25821.7373  
81.74511.26472.65651.35902.69651.33892.50930.87950.5040
91.75051.26902.66781.36732.72401.36732.66781.26901.7505
 L1C2L3C4L5C6L7C8L9


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