Prony |
Interpolation with a sum of Prony terms of the magnitude of a relaxation or retardation function in frequency domain.
Note that for a relaxation the magnitude is increasing with frequency (e.g. the magnitude of the complex mechanical modulus),
whereas for a retardation the magnitude is decreasing with frequency (e.g. the magnitude of the complex electrical permittivity).
Inheritance HierarchySystemObject
Altaxo.Calc.InterpolationPronySeriesInterpolationBase
Altaxo.Calc.InterpolationPronySeriesFrequencyDomainMagnitudeInterpolation
Altaxo.Calc.InterpolationPronySeriesInterpolationBase
Altaxo.Calc.InterpolationPronySeriesFrequencyDomainMagnitudeInterpolation
Namespace: Altaxo.Calc.Interpolation
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public class PronySeriesFrequencyDomainMagnitudeInterpolation : PronySeriesInterpolationBase, IInterpolationFunctionOptions, IInterpolationCurveOptions, IEquatable<PronySeriesFrequencyDomainMagnitudeInterpolation>
The PronySeriesFrequencyDomainMagnitudeInterpolation type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | PronySeriesFrequencyDomainMagnitudeInterpolation | Initializes a new instance of the PronySeriesFrequencyDomainMagnitudeInterpolation class |
Properties| Name | Description | |
|---|---|---|
 | AllowNegativePronyCoefficients |
If true, also negative Prony coefficients are allowed. The default value is false.
(Inherited from PronySeriesInterpolationBase) |
| IsRelaxation |
If true, the Prony terms model a relaxation process, i.e. a modulus, where the real part increases with frequency.
If false, the Prony terms model a retardation process, i.e. a susceptibility, where the real part decreases with frequency.
(Inherited from PronySeriesInterpolationBase) |
| NumberOfPoints |
If PointsPerDecade is 0, this property specifies a fixed number of Prony terms.
Else, if PointsPerDecade is > 0, this property specifies the maximum number of Prony terms.
(Inherited from PronySeriesInterpolationBase) |
| PointsPerDecade |
Gets the number of Prony terms per decade. If this value is <=0, the property NumberOfPoints specifiy a fixed number of Prony terms.
Else, if this property is > 0, it specify the number of Prony terms per decade, and NumberOfPoints only specifies the maximum number of Prony terms.
(Inherited from PronySeriesInterpolationBase) |
| RegularizationParameter |
Gets /sets the regularization parameter that controls the smoothing
of the resulting curve. The higher the parameter, the smoother the resulting curve will be.
(Inherited from PronySeriesInterpolationBase) |
| UseIntercept |
If true, besides of the Prony terms, additionally an intercept is fitted to the data.
(Inherited from PronySeriesInterpolationBase) |
| XMinimumMaximum |
Gets the minimum and maximum x values to be used. If this property is null, then the minimum and maximum x is determined automatically.
In time domain, the x values are times. In frequency domain, the x values are frequencies (frequencies, not circular frequencies!).
(Inherited from PronySeriesInterpolationBase) |
MethodsTop
See Also