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Bessel Filter Prototype Element Values

A Bessel filter is a filter whose impulse response is a Bessel function. Bessel filters are designed to give maximally flat group delay and maximally linear phase change across the band and into the transitino region. They are very close to Gaussian type filters.

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.

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

Prototype filter schematic - capacitor input - RF Cafe
Capacitor Input
Prototype filter schematic - inductor input - RF Cafe
Inductor Input
Order C1 L2 C3 L4 C5 L6 C7 L8 C9 L10
1 2.000                  
2 0.576 2.148                
3 0.3374 0.9705 2.2034              
4 0.2334 0.6725 1.0815 2.2404            
5 0.1743 0.5072 0.804 1.111 2.2582          
6 0.1365 0.4002 0.6392 0.8538 1.1126 2.2645        
7 0.1106 0.3259 0.5249 0.702 0.869 1.1052 2.2659      
8 0.0919 0.2719 0.4409 0.5936 0.7303 0.8695 1.0956 2.2656    
9 0.078 0.2313 0.377 0.5108 0.6306 0.7407 0.8639 1.0863 2.2649  
10 0.0672 0.1998 0.327 0.4454 0.5528 0.6493 0.742 0.8561 1.0781 2.2641
Order L1 C2 L3 C4 L5 C6 L7 C8 L9 C10
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