Summary edit

DescriptionLoglog transfer function of filter diff damping factor.png	English: Loglog graph of a transfer function with different damping factors (.2, .4, .6, .8 and 1 from the top and down), se detailed description below. Made in Mathematica.
Date	16 September 2009
Source	Own work by uploader   This diagram was created with Mathematica.
Author	Calle

Description and source code edit

Mathematica source code:

H[x_, k_] := 1/Sqrt[(1 - x^2)^2 + 4 k^2 x^2]

LogLogPlot[{H[t, .2], H[t, .4], H[t, .6], H[t, .8], H[t, 1]}, {t, .1, 
  5}, AxesLabel -> {\[Omega]/Subscript[\[Omega], 0], H}]

The transfer function is:

${\displaystyle |H|={\frac {1}{\sqrt {(1-({\frac {w}{w_{0}}})^{2})^{2}+4k^{2}({\frac {w}{w_{0}}})^{2}}}}}$

where k is a damping factor.

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