UniformNoisePropertiesDemonstrates the computation of properties for uniformly 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.UniformNoise block using a uniform random number distribution. Block "noise" defines a band of 0 .. 6 and 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 uniform noise in the range 0 .. 6 is 3 and its variance is 3 as well. The simulation results above show good agreement (after a short initial phase). This demonstrates that the random number generator and the mapping to a uniform distribution have good statistical properties.
| y_min | 
         Value: 0 Type: Real Description: Minimum value of band  | 
    
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| y_max | 
         Value: 6 Type: Real Description: Maximum value of band  | 
    
| pMean | 
         Value: (y_min + y_max) / 2 Type: Real Description: Theoretical mean value of uniform distribution  | 
    
| var | 
         Value: (y_max - y_min) ^ 2 / 12 Type: Real Description: Theoretical variance of uniform distribution  | 
    
| std | 
         Value: sqrt(var) Type: Real Description: Theoretical standard deviation of uniform 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: UniformNoise  | 
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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  |