The Transfer Function component multiplies the complex input by a transfer function consisting of a rational polynomial in $s$ specified by the real vector parameters $a$ and $b$ and evaluated at $s\=jw$, where $w$ is a real input.

$y\=\frac{\sum _{k\=1}^{n_b}{b}_k{\left(jw\right)}^{n_b-1}}{\sum _{k\=1}^{n_a}{a}_k{\left(jw\right)}^{n_a-1}}\{\begin{array}{cc}\stackrel{\&conjugate0;}{u}& \mathrm{Use\; Conjugate\; Input}\\ u& \mathrm{otherwise}\end{array}$

$n_a\=\mathrm{dimension}\left(a\right)$

$n_b\=\mathrm{dimension}\left(b\right)$

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.