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 |
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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 |
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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 |