moving_average.h File Reference

Header file moving average calculations. More...

#include "Complex.h"
#include "matrix_linear.h"
#include "utilities.h"

Functions
vector< double >	moving_average (long number, double *x, long window)
	Calculates a moving average over an array of data. More...
vector< double >	moving_average (vector< double > &x, long window)
	Calculates a moving average over an array of data. More...
vector< Complex< float > >	moving_average_complex (vector< Complex< float > > &x, long window)
	Calculates a moving average over an array of complex data. More...
vector< double >	moving_polynomial (long order, long number, double *x, long window)
	Calculates a moving polynomial fit over an array of data. More...
vector< double >	moving_polynomial (long order, vector< double > &x, long window)
	Calculates a moving polynomial fit over an array of data. More...
vector< double >	moving_gradient (vector< double > &x, long window)
	Calculates a moving fit of the local gradient in an array of data. More...
vector< double >	moving_curvature (vector< double > &x, long window)
	Calculates a moving fit of the local curvature in an array of data. More...

Detailed Description

Header file moving average calculations.

Author

Bernard Heymann

Date

Created: 20000430

Modified: 20221129

Function Documentation

moving_average() [1/2]

vector< double > moving_average	(	long	number,
		double *	x,
		long	window
	)

Calculates a moving average over an array of data.

Parameters

number	number of values in the array.
*x	the array.
window	sliding window length.

Returns

double* the moving average array.

All data points within a sliding window are averaged.
The window moves over the ends of the array and averages only the 
available points.
A new array is allocated and the moving averages returned.

moving_average() [2/2]

vector< double > moving_average	(	vector< double > &	x,
		long	window
	)

Calculates a moving average over an array of data.

Parameters

&x	the array.
window	sliding window length.

Returns

vector<double> the moving average array.

All data points within a sliding window are averaged.
The window moves over the ends of the array and averages only the
available points.
A new array is allocated and the moving averages returned.

moving_average_complex()

vector< Complex< float > > moving_average_complex	(	vector< Complex< float > > &	x,
		long	window
	)

Calculates a moving average over an array of complex data.

Parameters

&x	the array.
window	sliding window length.

Returns

Complex<float>* the moving average complex array.

All data points within a sliding window are averaged.
The window moves over the ends of the array and averages only the
available points.
A new array is allocated and the moving averages returned in it.

moving_curvature()

vector< double > moving_curvature	(	vector< double > &	x,
		long	window
	)

Calculates a moving fit of the local curvature in an array of data.

Parameters

&x	the array.
window	sliding window length.

Returns

vector<double> the moving curvature fit array.

All data points within a sliding window are fit to a third-order polynomial.
The window moves over the ends of the array and fits only the
available points.

moving_gradient()

vector< double > moving_gradient	(	vector< double > &	x,
		long	window
	)

Calculates a moving fit of the local gradient in an array of data.

Parameters

&x	the array.
window	sliding window length.

Returns

vector<double> the moving gradient fit array.

All data points within a sliding window are fit to a line.
The window moves over the ends of the array and fits only the
available points.

moving_polynomial() [1/2]

vector< double > moving_polynomial	(	long	order,
		long	number,
		double *	x,
		long	window
	)

Calculates a moving polynomial fit over an array of data.

Parameters

order	polynomial order.
number	number of values in the array.
*x	the array.
window	sliding window length.

Returns

vector<double> the moving polynomial fit array.

All data points within a sliding window are fit to a polynomial.
The window moves over the ends of the array and fits only the 
available points.
A new array is allocated and the moving polynomial fit values returned.

moving_polynomial() [2/2]

vector< double > moving_polynomial	(	long	order,
		vector< double > &	x,
		long	window
	)

Calculates a moving polynomial fit over an array of data.

Parameters

order	polynomial order.
&x	the array.
window	sliding window length.

Returns

vector<double> the moving polynomial fit array.

All data points within a sliding window are fit to a polynomial.
The window moves over the ends of the array and fits only the
available points.
A new array is allocated and the moving polynomial fit values returned.