A Gaussian filter is a filter whose impulse response is a Gaussian function. Gaussian filters
are designed to give no overshoot to a step function input while minimizing the rise and fall
time. This behavior is closely connected to the fact that the Gaussian filter has the minimum
possible group delay. Mathematically, a Gaussian filter modifies the input signal by convolution
with a Gaussian function; this transformation is also known as the Weierstrass transform.
- Wikipedia
See the online filter calculators
and plotters here.
Here are the lowpass prototype poles for a Gaussian filter to 6 dB and to 12 dB.
Lowpass prototype inductor and capacitor
values are here.
3 |
0.9360 0.9360 |
1.2168 |
4 |
0.9278 0.9192 |
1.6995 0.5560 |
5 |
0.8075 0.7153 0.8131 |
0.9973 0.2053 |
6 |
0.7019 0.6667 0.4479 |
0.4322 1.2931 2.1363 |
7 |
0.6155 0.5486 0.2905 0.6291 |
0.7703 1/5154 2.1486 |
8 |
0.5441 0.5175 0.4328 0.1978 |
0.3358 0.9962 1.6100 2.0703 |
9 |
0.4961 0.4568 0.3592 0.1489 0.5065 |
0.6192 1.2145 1.7429 2.1003 |
10 |
0.4535 0.4352 0.3886 0.2908 0.1136 |
0.2794 0.8289 1.3448 1.7837 2.0599 |
|
2 |
0.8590 |
0.6981 |
3 |
0.6969 0.8257 |
1.1318 |
4 |
0.7448 0.6037 |
0.5133 1.4983 |
5 |
0.6775 0.5412 0.7056 |
0.9401 1.8256 |
6 |
0.6519 0.6167 0.4893 |
0.4374 1.2963 2.0982 |
7 |
0.6190 0.5816 0.4598 0.6283 |
0.8338 1.6455 2.3994 |
8 |
0.5791 0.5665 0.5303 0.4148 |
0.3857 1.1505 1.8914 2.5780 |
9 |
0.5688 0.5545 0.5179 0.4080 0.5728 |
0.7595 1.5089 2.2329 2.9028 |
10 |
0.5249 0.5193 0.5051 0.4711 0.3708 |
0.3487 1.0429 1.7264 2.3850 2.9940 |
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Data taken from Analog Devices
app note.
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