Pearson |
Fit function with one or more PearsonIV shaped peaks, with a baseline polynomial
of variable order.
The PearsonIV is relocated and scaled in Height, Position and Width,
so that the amplitude parameter is the maximum height of the peak, the position parameter is the x-value of the maximum, and the w parameter is approximately (38%) the half width half maximum (HWHM) of the peak.
Inheritance HierarchyNamespace: Altaxo.Calc.FitFunctions.Peaks
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
SyntaxC#
public class PearsonIVAmplitudeParametrizationHPW : IFitFunctionWithDerivative, IFitFunction, IFitFunctionPeak, IImmutable, IEquatable<PearsonIVAmplitudeParametrizationHPW>
The PearsonIVAmplitudeParametrizationHPW type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | PearsonIVAmplitudeParametrizationHPW | Initializes a new instance with one term and no baseline polynomial. |
| PearsonIVAmplitudeParametrizationHPW(Int32, Int32) | Initializes a new instance with the specified number of terms and baseline order. |
Properties| Name | Description | |
|---|---|---|
 | NumberOfDependentVariables | Number of dependent variables (i.e. y, in Altaxo this is commonly called v (like value)). |
| NumberOfIndependentVariables | Number of independent variables (i.e. x). |
| NumberOfParameters | Number of parameters of this fit function. |
| 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_M1 | |
| DefaultParameterValue | Returns a default parameter value. You must ensure that the fit function would generate values with those default parameters. |
| DefaultVarianceScaling | Returns the default variance scaling for the dependent variable i. |
| DependentVariableName | Returns the ith dependent variable name. |
| Evaluate(Double, Double, Double) | This evaluates a function value. |
| Evaluate(IROMatrixDouble, IReadOnlyListDouble, IVectorDouble, IReadOnlyListBoolean) | Evaluates the function values at multiple x-points. |
| EvaluateDerivative | Evaluates the gradient of the function with respect to the parameters. |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| GetArea | Gets the area under the peak. |
| GetFWHM | Gets the full width half maximum (FWHM) |
| GetFWHMApproximation | Gets an approximate value (19% error) for the full width half maximum |
| GetHWHM | Gets the half width half maximum of a given side of the peak. |
| 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) |
| GetYOfOneTerm | |
| IndependentVariableName | Returns the ith independent variable name. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| ParameterName | Returns the ith parameter name. |
| ToString | Returns a string that represents the current object. (Overrides ObjectToString) |
Events
RemarksSee Also