de.gsi.math.spectra.wavelet

Class MyWavelet

java.lang.Object

de.gsi.math.spectra.wavelet.Lift

de.gsi.math.spectra.wavelet.MyWavelet

public class MyWavelet
extends Lift

Nested Class Summary

Nested classes/interfaces inherited from class de.gsi.math.spectra.wavelet.Lift

Lift.Direction

Constructor Summary

Constructors

Constructor and Description
MyWavelet()

Method Summary

Modifier and Type	Method and Description
void	forwardTrans(double[] vec) Simple wavelet Lifting Scheme forward transform
void	inverseTrans(double[] vec) Default two step Lifting Scheme inverse wavelet transform
protected void	normalize(double[] S, int N, Lift.Direction direction)
protected void	predict(double[] S, int N, Lift.Direction direction) Predict step, to be defined by the subclass
protected void	update(double[] S, int N, Lift.Direction direction) Update step, to be defined by the subclass
protected void	updateOne(double[] S, int N, Lift.Direction direction)

Methods inherited from class de.gsi.math.spectra.wavelet.Lift

merge, split

Methods inherited from class java.lang.Object

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

Constructor Detail

MyWavelet

public MyWavelet()

Method Detail

forwardTrans

public void forwardTrans(double[] vec)

Description copied from class: Lift

Simple wavelet Lifting Scheme forward transform

forwardTrans is passed an array of doubles. The array size must be a power of two. Lifting Scheme wavelet transforms are calculated in-place and the result is returned in the argument array.

The result of forwardTrans is a set of wavelet coefficients ordered by increasing frequency and an approximate average of the input data set in vec[0]. The coefficient bands follow this element in powers of two (e.g., 1, 2, 4, 8...).

Overrides:

forwardTrans in class Lift

Parameters:

vec - input vector

inverseTrans

public void inverseTrans(double[] vec)

Default two step Lifting Scheme inverse wavelet transform

inverseTrans is passed the result of an ordered wavelet transform, consisting of an average and a set of wavelet coefficients. The inverse transform is calculated in-place and the result is returned in the argument array.

Overrides:

inverseTrans in class Lift

Parameters:

vec - input vector

normalize

protected void normalize(double[] S,
                         int N,
                         Lift.Direction direction)

predict

protected void predict(double[] S,
                       int N,
                       Lift.Direction direction)

Description copied from class: Lift

Predict step, to be defined by the subclass

Specified by:

predict in class Lift

Parameters:

S - input array

N - size of region to act on (from 0..N-1)

direction - forward or inverse transform

update

protected void update(double[] S,
                      int N,
                      Lift.Direction direction)

Description copied from class: Lift

Update step, to be defined by the subclass

Specified by:

update in class Lift

Parameters:

S - input array

N - size of region to act on (from 0..N-1)

direction - forward or inverse transform

updateOne

protected void updateOne(double[] S,
                         int N,
                         Lift.Direction direction)