WeightedSavitzkyGolaySmoother Class

A C# implementation of Savitzky-Golay smoothing with optional weighting. Weights provide improved stopband suppression compared to traditional Savitzky-Golay (SG). Traditional SG smoothing can be obtained by using NONE.

Inheritance Hierarchy

SystemObject
Altaxo.Calc.RegressionWeightedSavitzkyGolaySmoother

Namespace: Altaxo.Calc.Regression
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)

Syntax

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public class WeightedSavitzkyGolaySmoother

The WeightedSavitzkyGolaySmoother type exposes the following members.

Constructors

	Name	Description
	WeightedSavitzkyGolaySmoother	Creates a WeightedSavitzkyGolaySmoother with the given weight function, polynomial degree, and kernel half-width. This constructor is useful for repeated smoothing operations with the same parameters. Otherwise, the static Smooth(Double, Double, WeightedSavitzkyGolaySmootherWeightType, Int32, Int32) method is more convenient.

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Methods

	Name	Description
	BandwidthToHalfwidth	Calculates the kernel half-width m for a given bandwidth (the frequency where the response decreases to -3 dB, corresponding to 1/sqrt(2)) for an SGW filter with HANNSQR weights.
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetHashCode	Serves as the default hash function. (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)
	SavitzkyGolayBandwidth	Calculates the bandwidth of a traditional Savitzky-Golay (SG) filter.
	Smooth(Double, Double)	Smooths the data with the parameters passed to the constructor. This method is implemented only for data arrays that have at least 2*m + 1 elements, where m is the kernel half-width.
	Smooth(Double, Double, WeightedSavitzkyGolaySmootherWeightType, Int32, Int32)	Smooths the data with the specified weight function, polynomial degree, and kernel half-width m. This method is implemented only for data arrays that have at least 2*m + 1 elements.
	SmoothLikeSG	Smooths the data in a way comparable to a traditional Savitzky-Golay filter with parameters degree and m, but using Hann-squared weights, resulting in substantially better noise rejection. This method is implemented only for arrays that have at least as many elements as the SGW kernel. This is more than 2m + 1, but never more than 4m + 1.
	ToString	Returns a string that represents the current object. (Inherited from Object)

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Remarks

Reference: Michael Schmid, David Rath, and Ulrike Diebold, "Why and how Savitzky-Golay filters should be replaced", ACS Measurement Science Au 2022 2 (2), 185–196. DOI: 10.1021/acsmeasuresciau.1c00054.

Reference

Altaxo.Calc.Regression Namespace