File:Butterworth Filter s-Plane Response (3rd Order).svg
.svg){kind=small}
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| Description |
English: Log-absolute complex frequency (s = σ+jω) response of an 3rd order Butterworth filter. Values less than 0.01 are black; greater than 20 are in white. Also shown is the unit circle, upon which all poles lie.
ω0 = 1. |
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| Source | Own work | ||
| Author | Inductiveload | ||
| Permission (Reusing this file) |
|
Mathematica Code
buttergain[s_] := 1/(1 + 2 s + 2 s^2 + s^3);
DensityPlot[
min = 0.01;
max = 20;
Log[Abs[buttergain[sig + I*w]]],
{sig, -2, 2},
{w, -2, 2},
PlotRange -> {Log[min], Log[max]},
PlotPoints -> 100,
ColorFunction -> GrayLevel,
ClippingStyle -> {Black, White}
]
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:08, 31 January 2009 | | 480 × 460 (390 KB) | Inductiveload | {{Information |Description={{en|1=Log-absolute complex frequency (''s'' = ''σ''+''jω'') response of an 3rd order en:Butterworth filter. Values less than 0.01 are black; greater than 20 are in white. Also shown is the unit circle, upon which all po |
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