WOLFRAM SYSTEM MODELER

ContinuousMean

Calculates the empirical expectation (mean) value of its input signal

Wolfram Language

In[1]:=
SystemModel["Modelica.Blocks.Math.ContinuousMean"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This block continuously calculates the mean value of its input signal. It uses the function:

     integral( u over time)
y = ------------------------
        time - startTime

This can be used to determine the empirical expectation value of a random signal, such as generated by the Noise blocks.

The parameter t_eps is used to guard against division by zero (the mean value computation starts at <simulation start time> + t_eps and before that time instant y = u).

See also the Mean block for a sampled implementation.

This block is demonstrated in the examples UniformNoiseProperties and NormalNoiseProperties.

Parameters (1)

t_eps

Value: 1e-7

Type: Time (s)

Description: Mean value calculation starts at startTime + t_eps

Connectors (2)

u

Type: RealInput

Description: Noisy input signal
y

Type: RealOutput

Description: Expectation (mean) value of the input signal

Used in Examples (2)

UniformNoiseProperties

Modelica.Blocks.Examples.Noise

Demonstrates the computation of properties for uniformly distributed noise

NormalNoiseProperties

Modelica.Blocks.Examples.Noise

Demonstrates the computation of properties for normally distributed noise

Revisions

Date Description
June 22, 2015
DLR logo Initial version implemented by A. Klöckner, F. v.d. Linden, D. Zimmer, M. Otter.
DLR Institute of System Dynamics and Control