Prony |
Performs a fit with a Prony series to a retardation signal (general susceptibility),
either in the time domain or in the frequency domain.
If the signal is a time-domain signal, it is assumed to be a retardation signal, i.e. it is increasing with time (for instance, strain at constant stress).
If the signal is in the frequency domain, it is assumed to be a susceptibility, i.e. the real part is decreasing with frequency.
Inheritance HierarchyNamespace: Altaxo.Science.Signals
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
SyntaxC#
public class PronySeriesRetardation : IImmutable, IEquatable<PronySeriesRetardation>
The PronySeriesRetardation type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | PronySeriesRetardation | Initializes a new instance of the PronySeriesRetardation class |
Properties| Name | Description | |
|---|---|---|
 | IsDielectricSpectrum | If true, the flow term is multiplied by the dielectric vacuum permittivity in order to obtain the electrical conductivity. |
| MaximalRetardationTime | Gets or sets largest retardation time (the tau_retard of the last Prony term). |
| MinimalRetardationTime | Gets or sets smallest retardation time (the tau_retard of the first Prony term). |
| NumberOfRetardationTimes | Gets the number of retardation times, i.e. the number of Prony terms. |
| RegularizationParameter | Gets/sets the regularization parameter. Usually zero. The higher the value, the more the Prony coefficients are smoothed out. |
| UseFlowTerm | If true, a flow term (fluidity, conductivity) is also fitted. Then, in the result, the values for Fluidity and Viscosity are set. |
| UseIntercept | If true, an intercept (high-frequency retardation value) is also fitted. In the result, this is included as the Prony coefficient for retardation time zero. |
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 susceptibility, using the properties MinimalRetardationTime, MaximalRetardationTime, NumberOfRetardationTimes, UseIntercept, UseFlowTerm, IsDielectricSpectrum, and RegularizationParameter. |
| EvaluateFrequencyDomain(IReadOnlyListDouble, Boolean, IReadOnlyListDouble, IReadOnlyListDouble) | Evaluates a Prony series fit in the time domain, using the properties MinimalRetardationTime, MaximalRetardationTime, NumberOfRetardationTimes, UseIntercept, UseFlowTerm, and RegularizationParameter. |
| EvaluateFrequencyDomain(IReadOnlyListDouble, Boolean, IReadOnlyListDouble, IReadOnlyListDouble, Double, Double, Int32, Boolean, Boolean, Boolean, Double) | Evaluates a Prony series fit in the frequency domain from the real and imaginary part of a general complex dynamic susceptibility. |
| EvaluateFrequencyDomainFromMagnitude | Evaluates a Prony series fit in the frequency domain from the absolute value (magnitude) of a general complex dynamic susceptibility. |
| EvaluateTimeDomain(IReadOnlyListDouble, IReadOnlyListDouble) | Evaluates a Prony series fit in the time domain, using the properties MinimalRetardationTime, MaximalRetardationTime, NumberOfRetardationTimes, UseIntercept, UseFlowTerm, and RegularizationParameter. |
| EvaluateTimeDomain(IReadOnlyListDouble, IReadOnlyListDouble, Double, Double, Int32, Boolean, 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) |
See Also