NormalNoisePropertiesDemonstrates the computation of properties for normally distributed noise  | 
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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  | 
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|---|---|---|
| noise | 
         Type: NormalNoise  | 
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| mean | 
         Type: ContinuousMean  | 
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| variance | 
         Type: Variance  | 
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| theoreticalVariance | 
         Type: MultiProduct  | 
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| meanError | 
         Type: Feedback  | 
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| theoreticalMean | 
         Type: Constant  | 
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| varianceError | 
         Type: Feedback  | 
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| theoreticalSigma | 
         Type: Constant  | 
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| standardDeviation | 
         Type: StandardDeviation  | 
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| sigmaError | 
         Type: Feedback  |