vec_math
Class Fourier.Series

java.lang.Object
  vec_math.Fourier.Series

All Implemented Interfaces:

Multidimensional

Enclosing class:

Fourier

public static class Fourier.Series
extends Object
implements Multidimensional

A Fourier series multidimensional is the representation of a discrete Fouriere series up to a specified order M. In its Multidimensional use, it calculates the square sum of the measured values y to the model fit, specified by the parameters given, which have the meaning according to:

       y_f=ΣMa2k-1ċcos(2πkċa_0ċt)+a2kċsin(2πkċa_0ċt)
       

A concrete value of the fourier transformation is available with solve(vec_math.VectorG, double) which provides a Vector of a's and a value of t.

Field Summary

private Vector2D[]	measures The vector of measures y at times x.
private int	order The order of the fourier series.

Constructor Summary

protected

Fourier.Series(Vector2D[] ty, int m) Constructs a new Fourier series.

Method Summary

int	dimension() The number of parameters of this series is the principal frequency, plus two parameters for each order, thus 2*oreder+1.
double	evaluate(VectorG fanbn) Evaluates a fourier series with the given set of coefficents and frequency.
protected Vector2D[]	getMeasures() Returns the data array.
protected static double	solve(VectorG fanbn, double t) We evaluate a fourier series for a given set of amplitudes and a principal frequency for the given time t.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

measures

private Vector2D[] measures

The vector of measures y at times x.

order

private int order

The order of the fourier series.

Constructor Detail

Fourier.Series

protected Fourier.Series(Vector2D[] ty,
                         int m)

Constructs a new Fourier series.

Method Detail

evaluate

public double evaluate(VectorG fanbn)

Evaluates a fourier series with the given set of coefficents and frequency. The principal frequency is always the number at index zero, and the dimension of the input vector must be 2*order+1.

Specified by:

evaluate in interface Multidimensional

dimension

public int dimension()

The number of parameters of this series is the principal frequency, plus two parameters for each order, thus 2*oreder+1.

Specified by:

dimension in interface Multidimensional

getMeasures

protected Vector2D[] getMeasures()

Returns the data array.

solve

protected static double solve(VectorG fanbn,
                              double t)

We evaluate a fourier series for a given set of amplitudes and a principal frequency for the given time t.