File:M-Derived Low-pass Transfer Function (1 Half-section).svg
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DescriptionM-Derived Low-pass Transfer Function (1 Half-section).svg |
English: A plot (attenuation in nepers and phase in degrees) of the transfer function of one half-section of an m-Derived low-pass filter (the prototype L-section model) with response as follows:
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Date | ||||
Source | Own work | |||
Author | Inductiveload | |||
Permission (Reusing this file) |
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Mathematica Code
[edit]winf[wc_, m_] = wc/(Sqrt[1 - m^2]); gamma[w_, wc_, winf_, m_] = Piecewise[ { {0 + I* 0.5 * ArcCos[1 - 2 m^2/((wc/w)^2 - (wc/winf)^2)], w \[LessSlantEqual] wc}, {0.5 * ArcCosh[2 m^2/((wc/w)^2 - (wc/winf)^2) - 1] + I*Pi/2, wc < w <= winf}, {0.5 * ArcCosh[1 - 2 m^2/((wc/w)^2 - (wc/winf)^2)], winf < w} } ] p = LogLinearPlot[ {Table[ Re[gamma[w, 1, winf[1, m], m]], {m, 0.2, 0.8, 0.2}]}, {w, 0.1, 10}, PlotRange -> {-0.1, 3.6}, PlotPoints -> 100] q = LogLinearPlot[ {Table[ Im[gamma[w, 1, winf[1, m], m]], {m, 0.2, 0.8, 0.2}]}, {w, 0.1, 10}, PlotRange -> {-0.1, 1.6}, PlotPoints -> 100]
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 00:11, 26 November 2009 | 600 × 660 (49 KB) | Inductiveload (talk | contribs) | fix overlapping white box, and arrange into layers | |
01:17, 25 January 2009 | 600 × 660 (50 KB) | Inductiveload (talk | contribs) | wrong x-axis values | ||
01:05, 25 January 2009 | 600 × 660 (52 KB) | Inductiveload (talk | contribs) | {{Information |Description={{en|1=A plot (attenuation in en:nepers and phase in degrees) of the transfer function of one half-section of an m-Derived low-pass filter (the prototype L-section model) with response as follows: :The transmission paramet |
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