NormalNoisePropertiesDemonstrates the computation of properties for normally distributed noise 
This information is part of the Modelica Standard Library maintained by the Modelica Association.
This example demonstrates statistical properties of the Blocks.Noise.NormalNoise block using a normal random number distribution with mu=3, sigma=1. From the generated noise the mean and the variance is computed with blocks of package Blocks.Math. Simulation results are shown in the next diagram:
The mean value of a normal noise with mu=3 is 3 and the variance of normal noise is sigma^2, so 1. The simulation results above show good agreement (after a short initial phase). This demonstrates that the random number generator and the mapping to a normal distribution have good statistical properties.
mu 
Value: 3 Type: Real Description: Mean value for normal distribution 

sigma 
Value: 1 Type: Real Description: Standard deviation for normal distribution 
pMean 
Value: mu Type: Real Description: Theoretical mean value of normal distribution 
var 
Value: sigma ^ 2 Type: Real Description: Theoretical variance of uniform distribution 
std 
Value: sigma Type: Real Description: Theoretical standard deviation of normal distribution 
meanError_y 
Default Value: meanError.y Type: Real 

sigmaError_y 
Default Value: sigmaError.y Type: Real 
globalSeed 
Type: GlobalSeed 


noise 
Type: NormalNoise 

mean 
Type: ContinuousMean 

variance 
Type: Variance 

theoreticalVariance 
Type: MultiProduct 

meanError 
Type: Feedback 

theoreticalMean 
Type: Constant 

varianceError 
Type: Feedback 

theoreticalSigma 
Type: Constant 

standardDeviation 
Type: StandardDeviation 

sigmaError 
Type: Feedback 