PronySeriesRelaxation Class

Performs a fit with a Prony series to a relaxation signal, either in the time domain or in the frequency domain. If the signal is a time-domain signal, it is assumed to be a relaxation signal, i.e. it is decreasing with time. If the signal is in the frequency domain, it is assumed to be a modulus, i.e. the real part is increasing with frequency.

Inheritance Hierarchy

SystemObject
Altaxo.Science.SignalsPronySeriesRelaxation

Namespace: Altaxo.Science.Signals
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)

Syntax

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public class PronySeriesRelaxation : IImmutable, 
	IEquatable<PronySeriesRelaxation>

The PronySeriesRelaxation type exposes the following members.

Constructors

	Name	Description
	PronySeriesRelaxation	Initializes a new instance of the PronySeriesRelaxation class

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Properties

	Name	Description
	MaximalRelaxationTime	Gets or sets largest relaxation time (the tau_relax of the last Prony term).
	MinimalRelaxationTime	Gets or sets smallest relaxation time (the tau_relax of the first Prony term).
	NumberOfRelaxationTimes	Gets the number of relaxation times, i.e. the number of Prony terms.
	RegularizationParameter	Gets/sets the regularization parameter. Usually zero. The higher the value, the more are the prony coefficients smoothed out.
	UseIntercept	If true, an intercept (low frequency value) is also fitted. In the result this is included as the Prony coefficient for relaxation time infinity.

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Methods

	Name	Description
	Evaluate	Evaluates the Prony series coefficients using the matrix formulation of a (regularized) least-squares problem.
	EvaluateFrequencyDomain(IReadOnlyListDouble, Boolean, IReadOnlyListComplex)	Evaluates a Prony series fit in the frequency domain from a complex modulus, using the properties MinimalRelaxationTime, MaximalRelaxationTime, NumberOfRelaxationTimes, UseIntercept, and RegularizationParameter.
	EvaluateFrequencyDomain(IReadOnlyListDouble, Boolean, IReadOnlyListDouble, IReadOnlyListDouble)	Evaluates a Prony series fit in the time domain, using the properties MinimalRelaxationTime, MaximalRelaxationTime, NumberOfRelaxationTimes, UseIntercept, and RegularizationParameter.
	EvaluateFrequencyDomain(IReadOnlyListDouble, Boolean, IReadOnlyListDouble, IReadOnlyListDouble, Double, Double, Int32, Boolean, Double)	Evaluates a prony series fit in the frequency domain from the real and imaginary part of a general complex dynamic modulus.
	EvaluateFrequencyDomainFromMagnitude	Evaluates a prony series fit in the frequency domain from the absolute values (magnitude) of of a general complex dynamic modulus.
	EvaluateTimeDomain(IReadOnlyListDouble, IReadOnlyListDouble)	Evaluates a Prony series fit in the time domain, using the properties MinimalRelaxationTime, MaximalRelaxationTime, NumberOfRelaxationTimes, UseIntercept, and RegularizationParameter.
	EvaluateTimeDomain(IReadOnlyListDouble, IReadOnlyListDouble, Double, Double, Int32, Boolean, Double, Boolean)	Evaluates a prony series fit in the time domain.
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetType	Gets the Type of the current instance. (Inherited from Object)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)

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Reference

Altaxo.Science.Signals Namespace