The Continuous Mean component continuously calculates the mean value of its input signal.

This can be used to determine the empirical expectation value of a random signal, such as generated by the Noise blocks. The parameter $t_{\mathrm{\epsilon }}$ is used to guard against division by zero (the mean value computation starts at $t_0\+t_{\mathrm{\epsilon }}$).

$y\=\{\begin{array}{cc}\mathrm{\mu }& t_0\+t_{\mathrm{\epsilon }}\le t\\ u& \mathrm{otherwise}\end{array}$

$\frac{d\mathrm{\mu }}{\mathrm{dt}}\=\{\begin{array}{cc}\frac{u-\mathrm{\mu }}{t-t_0}& t_0\+t_{\mathrm{\epsilon }}\le t\\ 0& \mathrm{otherwise}\end{array}$

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.