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Gaussian Lowpass Filter Prototype Element Values
(to 6 dB & to 12 dB)

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 denormalizing equations here.


See the online filter calculators and plotters here.
Complex Gaussian poles are here.
Denormalization of values is here.





 
Prototype filter schematic - capacitor input      Prototype filter schematic - inductor input
Capacitor Input                                          Inductor Input        


Gaussian to 6 dB
OrderC1L2C3L4C5L6C7L8C9L10
30.36550.90322.269       
40.41530.86341.1422.264      
50.43000.91321.1091.1952.335     
60.42800.93191.1521.1761.2752.301    
70.39750.90821.1500.2121.2481.2672.347   
80.41170.91421.1671.2251.2971.2451.3202.306  
90.38480.86061.1321.1991.3061.2631.3091.2692.378 
100.41390.88971.1601.2051.3291.2751.3611.2491.3602.281
 L1C2L3C4L5C6L7C8L9C10
 
Gaussian to 12 dB
OrderC1L2C3L4C5L6C7L8C9L10
30.26910.82022.229       
40.22750.58880.95862.241      
50.24520.57510.76811.0132.266     
60.26350.60550.76170.84211.0552.255    
70.24730.58450.75550.81270.88401.0492.281   
80.26880.61490.78910.84040.88370.89731.0832.251  
90.24550.55710.73570.80120.80730.86160.92251.0512.297 
100.27620.61150.79070.84160.90860.89230.92700.91041.1022.240
 L1C2L3C4L5C6L7C8L9C10

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