RF Cafe - Gaussian Filter Prototype Element Values (to 6 dB & to 12 dB)

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

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

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.

Capacitor Input

Inductor Input

Gaussian to 6 dB

Order	C1	L2	C3	L4	C5	L6	C7	L8	C9	L10
3	0.3655	0.9032	2.269
4	0.4153	0.8634	1.142	2.264
5	0.4300	0.9132	1.109	1.195	2.335
6	0.4280	0.9319	1.152	1.176	1.275	2.301
7	0.3975	0.9082	1.150	0.212	1.248	1.267	2.347
8	0.4117	0.9142	1.167	1.225	1.297	1.245	1.320	2.306
9	0.3848	0.8606	1.132	1.199	1.306	1.263	1.309	1.269	2.378
10	0.4139	0.8897	1.160	1.205	1.329	1.275	1.361	1.249	1.360	2.281
	L1	C2	L3	C4	L5	C6	L7	C8	L9	C10

Gaussian to 12 dB

Order	C1	L2	C3	L4	C5	L6	C7	L8	C9	L10
3	0.2691	0.8202	2.229
4	0.2275	0.5888	0.9586	2.241
5	0.2452	0.5751	0.7681	1.013	2.266
6	0.2635	0.6055	0.7617	0.8421	1.055	2.255
7	0.2473	0.5845	0.7555	0.8127	0.8840	1.049	2.281
8	0.2688	0.6149	0.7891	0.8404	0.8837	0.8973	1.083	2.251
9	0.2455	0.5571	0.7357	0.8012	0.8073	0.8616	0.9225	1.051	2.297
10	0.2762	0.6115	0.7907	0.8416	0.9086	0.8923	0.9270	0.9104	1.102	2.240
	L1	C2	L3	C4	L5	C6	L7	C8	L9	C10