Functions
VESPUCCI_EXPORT arma::mat	SVDDenoise (const arma::mat &X, arma::uword k, arma::mat &U, arma::vec &s, arma::mat &V)

VESPUCCI_EXPORT arma::mat	QUICSVDDenoise (const arma::mat &X, double epsilon, arma::mat &U, arma::vec &s, arma::mat &V, arma::uword &rank)

VESPUCCI_EXPORT arma::mat	sgolay (arma::uword poly_order, arma::uword window_size, arma::uword deriv_order, arma::uword scaling_factor)
	Vespucci::Math::Smoothing::sgolay Find a arma::matrix of Savitzky-Golay convolution coefficients. More...

VESPUCCI_EXPORT arma::mat	sgolayfilt (const arma::mat &x, arma::uword poly_order, arma::uword window_size, arma::uword deriv_order, arma::uword scaling_factor)
	sgolayfilt Apply Savitzky-Golay smoothing to each column of a arma::matrix More...

VESPUCCI_EXPORT arma::vec	ApplyFilter (const arma::vec &x, arma::mat coefficients, arma::uword window_size)
	Vespucci::Math::Smoothing::ApplyFilter Apply FIR filters to a column vector. More...

VESPUCCI_EXPORT arma::vec	ApplyFilter (const arma::vec &x, arma::vec filter)
	Vespucci::Math::Smoothing::ApplyFilter. More...

VESPUCCI_EXPORT arma::vec	CreateMovingAverageFilter (arma::uword window_size)
	Vespucci::Math::Smoothing::CreateMovingAverageFilter. More...

VESPUCCI_EXPORT arma::vec	MedianFilter (const arma::vec &X, arma::uword window_size)
	Vespucci::Math::Smoothing::MedianFilter. More...

VESPUCCI_EXPORT arma::mat	MedianFilterMat (const arma::mat &X, arma::uword window_size)
	Vespucci::Math::Smoothing::MedianFilterMat. More...

VESPUCCI_EXPORT arma::vec	WhittakerSmooth (const arma::vec &x, double lambda, arma::uword penalty_order)
	Vespucci::Math::WhittakerSmooth. More...

VESPUCCI_EXPORT arma::mat	InterpolateToNewAbscissa (const arma::mat &spectra, const arma::vec &old_abscissa, const arma::vec &new_abscissa, const int window_size, const int order)
	InterpolateToNewAbscissa. More...

VESPUCCI_EXPORT arma::mat	InterpolateToNewAbscissa (const arma::mat &spectra, const arma::vec &old_abscissa, const arma::vec &new_abscissa)
	InterpolateToNewAbscissa. More...

Function Documentation

arma::vec Vespucci::Math::Smoothing::ApplyFilter	(	const arma::vec &	x,
		arma::mat	coefficients,
		arma::uword	window_size
	)

Vespucci::Math::Smoothing::ApplyFilter Apply FIR filters to a column vector.

Parameters

x	Data to be filtered
coefficients	A arma::matrix of FIR filters.
window_size	Filter window size

Returns: Filtered data Apply FIR filters to a column vector. The central row of coefficients contains the filter used for most of the data. The first (window_size - 1)/2 rows are filtered with the lower rows ofccoefficients, and likewise for the last (window_size - 1)/2 rows and the first rows of coefficients.

Definition at line 126 of file FIR.cpp.

arma::vec Vespucci::Math::Smoothing::ApplyFilter	(	const arma::vec &	x,
		arma::vec	filter
	)

Vespucci::Math::Smoothing::ApplyFilter.

Parameters

x	The vector to filter
filter	The filter

Returns: Filtered data Applies an FIR filter to x

Definition at line 145 of file FIR.cpp.

arma::vec Vespucci::Math::Smoothing::CreateMovingAverageFilter ( arma::uword window_size )

Vespucci::Math::Smoothing::CreateMovingAverageFilter.

Parameters

window_size The window size of the filter.

Returns: A moving average filter Create a moving average filter of a certain window size.

Definition at line 160 of file FIR.cpp.

arma::mat Vespucci::Math::Smoothing::InterpolateToNewAbscissa	(	const arma::mat &	spectra,
		const arma::vec &	old_abscissa,
		const arma::vec &	new_abscissa,
		const int	window_size,
		const int	order
	)

InterpolateToNewAbscissa.

Parameters

spectra
old_abscissa
new_abscissa
window_size
order

Returns

Definition at line 177 of file FIR.cpp.

arma::mat Vespucci::Math::Smoothing::InterpolateToNewAbscissa	(	const arma::mat &	spectra,
		const arma::vec &	old_abscissa,
		const arma::vec &	new_abscissa
	)

InterpolateToNewAbscissa.

Parameters

spectra
new_abscissa

Returns: Performs linear interpolation using the two closest points. Is faster than the spline method

Definition at line 211 of file FIR.cpp.

arma::vec Vespucci::Math::Smoothing::MedianFilter	(	const arma::vec &	X,
		arma::uword	window_size
	)

Vespucci::Math::Smoothing::MedianFilter.

Parameters

X
window_size

Returns: Performs median filtering on a signal X. This just ignores the edges becuause they will be fairly small and not very interesting.

Definition at line 30 of file nonlinear.cpp.

arma::mat Vespucci::Math::Smoothing::MedianFilterMat	(	const arma::mat &	X,
		arma::uword	window_size
	)

Vespucci::Math::Smoothing::MedianFilterMat.

Parameters

X
window_size

Returns: Performs Median Filter over a arma::matrix with spectra in columns

Definition at line 61 of file nonlinear.cpp.

arma::mat Vespucci::Math::Smoothing::QUICSVDDenoise	(	const arma::mat &	X,
		double	epsilon,
		arma::mat &	U,
		arma::vec &	s,
		arma::mat &	V,
		arma::uword &	rank
	)

Definition at line 28 of file denoise.cpp.

arma::mat Vespucci::Math::Smoothing::sgolay	(	arma::uword	poly_order,
		arma::uword	window_size,
		arma::uword	deriv_order,
		arma::uword	scaling_factor
	)

Vespucci::Math::Smoothing::sgolay Find a arma::matrix of Savitzky-Golay convolution coefficients.

Parameters

poly_order
window_size
deriv_order
scaling_factor

Returns: A arma::matrix of size window_size by window_size containing coefficients. Finds a arma::matrix of Savitzky-Golay convolution coefficients, similar to the sgolay function in the Octave and arma::matLAB signal packages. The central row is the filter used for most of the dataset. The outer rows are used on the edges of the signal to be filtered.

Definition at line 36 of file FIR.cpp.

arma::mat Vespucci::Math::Smoothing::sgolayfilt	(	const arma::mat &	x,
		arma::uword	poly_order,
		arma::uword	window_size,
		arma::uword	deriv_order,
		arma::uword	scaling_factor
	)

sgolayfilt Apply Savitzky-Golay smoothing to each column of a arma::matrix

Parameters

x	Input arma::matrix. Each column is a signal
poly_order	Polynomial order for smoothing
window_size	Size of filter window. Must be odd and larger than poly order
deriv_order	Derivative order, to extract derivatized data directly
scaling_factor	A scaling factor

Returns: Smoothed data

Definition at line 89 of file FIR.cpp.

arma::mat Vespucci::Math::Smoothing::SVDDenoise	(	const arma::mat &	X,
		arma::uword	k,
		arma::mat &	U,
		arma::vec &	s,
		arma::mat &	V
	)

Definition at line 22 of file denoise.cpp.

arma::vec Vespucci::Math::Smoothing::WhittakerSmooth	(	const arma::vec &	x,
		double	lambda,
		arma::uword	penalty_order
	)

Vespucci::Math::WhittakerSmooth.

Parameters

x
lambda
penalty_order

Returns: This may be re-written to use a sparse Cholesky decomposition if such a function comes to exist in armadillo or MLPACK

Definition at line 31 of file whittaker.cpp.

Functions

Function Documentation