Voigt |
Fit fuction with one or more Voigt shaped peaks, with a baseline polynomial of variable order.
One term of this function has the parameters area, position, w, and nu.
Sigma and gamma of the usual Voigt function are calculated here as sigma=w*Sqrt(nu/Log(4)), gamma = w*(1-nu), with nu in the range of [0,1].
The FWHM of the function is within 3% equal to 2*w, and the derivatives at nu=0 and nu=1 w.r.t parameter are independent of each other.
Inheritance HierarchyNamespace: Altaxo.Calc.FitFunctions.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public class VoigtAreaParametrizationNu : IFitFunctionWithDerivative, IFitFunction, IFitFunctionPeak, IImmutable, IEquatable<VoigtAreaParametrizationNu>
The VoigtAreaParametrizationNu type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | VoigtAreaParametrizationNu | Initializes a new instance of the VoigtAreaParametrizationNu class |
| VoigtAreaParametrizationNu(Int32, Int32) | Initializes a new instance of the VoigtAreaParametrizationNu class |
Properties| Name | Description | |
|---|---|---|
 | NumberOfDependentVariables | |
| NumberOfIndependentVariables | |
| NumberOfParameters | |
| NumberOfTerms | Gets/sets the number of peak terms. |
| OrderOfBaselinePolynomial | Gets/sets the order of the baseline polynomial. |
| ParameterNamesForOnePeak | Gets the parameter names for one peak. |
Methods| Name | Description | |
|---|---|---|
 | Create_1_0 | |
| Create_1_M1 | |
| DefaultParameterValue | |
| DefaultVarianceScaling | |
| DependentVariableName | |
| Evaluate(Double, Double, Double) | |
| Evaluate(IROMatrixDouble, IReadOnlyListDouble, IVectorDouble, IReadOnlyListBoolean) | |
| EvaluateDerivative | |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| GetInitialParametersFromHeightPositionAndWidthAtRelativeHeight | Gets the initial parameters for one term (peak) by providing the height of the peak, the position of the peak, the width of the peak, and the relative height at which the width was measured. |
| GetParameterBoundariesForPositivePeaks | Gets the parameter boundaries in order to have positive peaks only. |
| GetParameterBoundariesHardLimit | Gets the parameter boundaries that are really a hard limit, i.e. outside those limits, the function would probably evaluate NaN values, or makes no sense. |
| GetParameterBoundariesSoftLimit | Gets the intended parameter boundaries. This are soft limits, boundaries so that the intended purpose of the fit function is fullfilled. Example: in the exponential decay Exp(-a*t) a is intended to be positive. This is a soft limit, and not a hard limit, because a could be also negative, and the fit nevertheless would succeed. |
| GetPositionAreaHeightFWHMFromSinglePeakParameters(IReadOnlyListDouble) | Gets the position, the area under the peak, the height, and the Full Width Half Maximum (FWHM) from the parameters of a single peak. |
| GetPositionAreaHeightFWHMFromSinglePeakParameters(IReadOnlyListDouble, IROMatrixDouble) | |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| IndependentVariableName | |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| ParameterName | |
| ToString | Returns a string that represents the current object. (Overrides ObjectToString) |
Events
Fields
See Also