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PronySeriesTimeDomainInterpolation Class

Interpolation with a sum of Prony terms in the time domain, either a relaxation (a time-decreasing function, e.g. a time-dependent modulus), or a retardation (a time-increasing function, e.g. a time-dependent compliance).
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.InterpolationPronySeriesInterpolationBase
    Altaxo.Calc.InterpolationPronySeriesTimeDomainInterpolation

Namespace: Altaxo.Calc.Interpolation
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
Syntax
C#
Copy
public class PronySeriesTimeDomainInterpolation : PronySeriesInterpolationBase, 
	IInterpolationFunctionOptions, IInterpolationCurveOptions, IEquatable<PronySeriesTimeDomainInterpolation>

The PronySeriesTimeDomainInterpolation type exposes the following members.

Constructors
 NameDescription
Public methodPronySeriesTimeDomainInterpolationInitializes a new instance of the PronySeriesTimeDomainInterpolation class
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Properties
 NameDescription
Public propertyAllowNegativePronyCoefficients If true, also negative Prony coefficients are allowed. The default value is false.
(Inherited from PronySeriesInterpolationBase)
Public propertyIsRelaxation 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)
Public propertyNumberOfPoints 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)
Public propertyPointsPerDecade Gets the number of Prony terms per decade. If this value is <= 0, the property NumberOfPoints specifies a fixed number of Prony terms. Else, if this property is > 0, it specifies the number of Prony terms per decade, and NumberOfPoints only specifies the maximum number of Prony terms.
(Inherited from PronySeriesInterpolationBase)
Public propertyRegularizationParameter Gets or 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)
Public propertyUseIntercept If true, besides of the Prony terms, additionally an intercept is fitted to the data.
(Inherited from PronySeriesInterpolationBase)
Public propertyXMinimumMaximum 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)
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Methods
 NameDescription
Protected methodDeserializeV0 Deserializes the legacy V0 schema and returns a new options record populated with the loaded data.
(Inherited from PronySeriesInterpolationBase)
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Protected methodGetWorkingXMinMaxNumberOfPoints Determines the working x-range and number of points based on either user-specified bounds or the data.
(Inherited from PronySeriesInterpolationBase)
Public methodInterpolate Sets the interpolation data by providing values for x and y. Both vectors must be of equal length.
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodRetardationWithAutomaticXMinimumMaximumAndNumberOfPointsPerDecade Creates a copy configured for retardation with automatically detected x-range and a given number of Prony terms per decade.
(Inherited from PronySeriesInterpolationBase)
Protected methodSerializeV0 Serializes the current options set by using the legacy V0 schema.
(Inherited from PronySeriesInterpolationBase)
Public methodWithAutomaticXMinimumMaximumAndFixedNumberOfPoints Creates a copy with automatically determined x-range and a fixed number of Prony terms.
(Inherited from PronySeriesInterpolationBase)
Public methodWithAutomaticXMinimumMaximumAndNumberOfPointsPerDecadeAndMaximumNumberOfPoints Creates a copy with automatically determined x-range, a user-specified number of points per decade, and a maximum number of Prony terms.
(Inherited from PronySeriesInterpolationBase)
Public methodWithSpecifiedXMinimumMaximumAndFixedNumberOfPoints Creates a copy with a manually specified x-range and a fixed number of Prony terms.
(Inherited from PronySeriesInterpolationBase)
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See Also