savitzky_golay.h File Reference

Smoothing using Savitzky-Golay filter. More...

#include <stdexcept>
#include <vector>

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Functions
const std::vector< double >	sablib::SavitzkyGolayCoefficients (const unsigned int n, const unsigned int polyorder, const unsigned derive=0, const double delta=1)
	Calculates the coefficients for a Savitzky-Golay filter.
const std::vector< double >	sablib::SavitzkyGolay (const std::vector< double > &y, const unsigned int n, const unsigned int polyorder, const unsigned derive=0, const double delta=1)
	Performs smoothing (and differentiation) using a Savitzky-Golay filter.

Detailed Description

Smoothing using Savitzky-Golay filter.

Author

Izadori

References:

• Savitzky, A.; Golay, M. J. Smoothing And differentiation of Data by Simplified Least Squares Procedures. Anal. Chem. 1964, 36(8), 1627-1639.

Definition in file savitzky_golay.h.

Function Documentation

SavitzkyGolay()

const std::vector< double > sablib::SavitzkyGolay	(	const std::vector< double > &	y,
		const unsigned int	n,
		const unsigned int	polyorder,
		const unsigned	derive = 0,
		const double	delta = 1 )

Performs smoothing (and differentiation) using a Savitzky-Golay filter.

Parameters

y	The input data to be filtered.
n	The half-width of the filter window (total window size is 2 * n + 1).
polyorder	The order of the polynomial used for fitting.
derive	The order of the derivative to compute (0 for smoothing only).
delta	The spacing of the samples.

Returns

The filtered (smoothed or differentiated) data.

Exceptions

std::invalid_argument

If the length of y is zero.

Definition at line 72 of file savitzky_golay.cpp.

SavitzkyGolayCoefficients()

const std::vector< double > sablib::SavitzkyGolayCoefficients	(	const unsigned int	n,
		const unsigned int	polyorder,
		const unsigned	derive = 0,
		const double	delta = 1 )

Calculates the coefficients for a Savitzky-Golay filter.

Parameters

n	The half-width of the filter window (total window size is 2 * n + 1).
polyorder	The order of the polynomial used for fitting.
derive	The order of the derivative to compute (0 for smoothing only).
delta	The spacing of the samples.

Returns

The calculated filter coefficients.

Exceptions

std::invalid_argument

One or more parameters are wrong.

Definition at line 18 of file savitzky_golay.cpp.