JSci.maths.wavelet.daubechies8
Class Wavelet8

java.lang.Object
  JSci.maths.wavelet.MultiscaleFunction
      JSci.maths.wavelet.daubechies8.Wavelet8

All Implemented Interfaces:

java.lang.Cloneable

public final class Wavelet8
extends MultiscaleFunction
implements java.lang.Cloneable

Daubechies wavelets adapted to the interval by Meyer. Thanks to Pierre Vial for the filters.

Constructor Summary

Wavelet8()

Wavelet8(int N0, int K)

Method Summary

java.lang.Object	clone() Return a copy of this object
int	dimension() Number of scaling functions at scale where this wavelet belongs.
int	dimension(int jfin) Given that the wavelet is written in terms of a scale containing dimension() scaling functions and going jfin scales ahead (iterating jfin times), tells you how many scaling functions you'll need.
boolean	equals(java.lang.Object a) Check if another object is equal to this Wavelet8 object
double[]	evaluate(int j) Return as an array the sampled values of the function
int	getFilterType() This method is used to compute how the number of scaling functions changes from on scale to the other.
int	position() Tells you what is the number of this wavelet.
void	setParameters(int N0, int K) Set the parameters for this object
java.lang.String	toString() Return a String representation of the object

Methods inherited from class JSci.maths.wavelet.MultiscaleFunction

mass, mass

Methods inherited from class java.lang.Object

finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

Wavelet8

public Wavelet8(int N0,
                int K)

Wavelet8

public Wavelet8()

Method Detail

toString

public java.lang.String toString()

Return a String representation of the object

Specified by:

toString in class MultiscaleFunction

equals

public boolean equals(java.lang.Object a)

Check if another object is equal to this Wavelet8 object

Specified by:

equals in class MultiscaleFunction

getFilterType

public int getFilterType()

This method is used to compute how the number of scaling functions changes from on scale to the other. Basically, if you have k scaling function and a filter of type t, you'll have 2*k+t scaling functions at the next scale (dyadic case). Notice that this method assumes that one is working with the dyadic grid while the method "previousDimension" define in the interface "filter" doesn't.

Specified by:

getFilterType in class MultiscaleFunction

setParameters

public void setParameters(int N0,
                          int K)

Set the parameters for this object

Parameters:

N0 - number of scaling function on the scale of this object

K - position or number of this object

Throws:

IllegalScalingException - if N0 is not large enough

clone

public java.lang.Object clone()

Return a copy of this object

Overrides:

clone in class MultiscaleFunction

evaluate

public double[] evaluate(int j)

Return as an array the sampled values of the function

Specified by:

evaluate in class MultiscaleFunction

Parameters:

j - number of iterations

dimension

public int dimension(int jfin)

Given that the wavelet is written in terms of a scale containing dimension() scaling functions and going jfin scales ahead (iterating jfin times), tells you how many scaling functions you'll need.

Specified by:

dimension in class MultiscaleFunction

Parameters:

jfin - number of iterations

dimension

public int dimension()

Number of scaling functions at scale where this wavelet belongs.

Specified by:

dimension in class MultiscaleFunction

position

public int position()

Tells you what is the number of this wavelet. Wavelets are numbered from left to right with the one at the left boundary being noted 0.