File:Constant-k Filter Gain with Multiple Half-Sections.svg
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Original file (SVG file, nominally 720 × 460 pixels, file size: 61 KB)
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| Description |
English: A graph of the gain of a lowpass constant-k filter composed of n half-sections (for n = 1,2,3,4,5,10,20), with a cutoff frequency of 1 rad/s. The transmission parameters of a single half-section are given by:
The gain of the whole filter is then: |
||
| Date | |||
| Source | Own work | ||
| Author | Inductiveload | ||
| Permission (Reusing this file) |
|
Mathematica Code
l = 1;
c = 1;
wc = 1/Sqrt[l*c];
gam[w_] := Piecewise[
{{I*ArcSin[w/wc], w < wc},
{ArcCosh[w/wc] + I*Pi/2, w \[GreaterSlantEqual] wc}}
]
gain[w_] := 1/ E^Re[gam[w]];
Plot[
Table[
gain[w]^k,
{k, {1, 2, 3, 4, 5, 10, 20}}],
{w, 0, 2},
PlotRange -> {0, 1}]
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:29, 26 November 2009 | | 720 × 460 (61 KB) | Inductiveload | fix y label -> add magnitude bars |
| 02:10, 23 November 2009 |  | 720 × 460 (61 KB) | Inductiveload | {{Information |Description={{en|1=A graph of the gain of a lowpass en:constant-k filter composed of ''n'' half-sections (for ''n'' = 1,2,3,4,5,10,20), with a cutoff frequency of 1 rad/s. The transmission parameters of a single half-section are given |
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