org.jscience.mathematics.wavelet.daubechies6
Class Daubechies6

java.lang.Object
  org.jscience.mathematics.wavelet.Multiresolution
      org.jscience.mathematics.wavelet.daubechies6.Daubechies6

All Implemented Interfaces:

Filter

public final class Daubechies6
extends Multiresolution
implements Filter

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

Field Summary

protected static int	filtretype DOCUMENT ME!
protected static int	minlength DOCUMENT ME!

Constructor Summary

Daubechies6()
Creates a new Daubechies6 object.

Method Summary

MultiscaleFunction	dualScaling(int n0, int k) DOCUMENT ME!
MultiscaleFunction	dualWavelet(int n0, int k) DOCUMENT ME!
double[]	evalScaling(int n0, int k, int j1) DOCUMENT ME!
double[]	evalWavelet(int n0, int k, int j1) DOCUMENT ME!
int	getFilterType() This method is used to compute how the number of scaling functions changes from on scale to the other.
double[]	highpass(double[] gete) This is the implementation of the highpass Filter.
double[]	highpass(double[] v, double[] param) This is the implementation of the highpass Filter.
double[]	lowpass(double[] gete) This is the implementation of the lowpass Filter.
double[]	lowpass(double[] v, double[] param) This is the implementation of the lowpass Filter.
int	previousDimension(int k) This method return the number of "scaling" functions at the previous scale given a number of scaling functions.
MultiscaleFunction	primaryScaling(int n0, int k) DOCUMENT ME!
MultiscaleFunction	primaryWavelet(int n0, int k) DOCUMENT ME!

Methods inherited from class java.lang.Object

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

Field Detail

filtretype

protected static final int filtretype

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See Also:

Constant Field Values

minlength

protected static final int minlength

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See Also:

Constant Field Values

Constructor Detail

Daubechies6

public Daubechies6()

Creates a new Daubechies6 object.

Method Detail

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 2k+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 Multiresolution

Returns:

DOCUMENT ME!

primaryScaling

public MultiscaleFunction primaryScaling(int n0,
                                         int k)

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Specified by:

primaryScaling in class Multiresolution

Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

Returns:

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dualScaling

public MultiscaleFunction dualScaling(int n0,
                                      int k)

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Specified by:

dualScaling in class Multiresolution

Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

Returns:

DOCUMENT ME!

primaryWavelet

public MultiscaleFunction primaryWavelet(int n0,
                                         int k)

DOCUMENT ME!

Specified by:

primaryWavelet in class Multiresolution

Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

Returns:

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dualWavelet

public MultiscaleFunction dualWavelet(int n0,
                                      int k)

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Specified by:

dualWavelet in class Multiresolution

Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

Returns:

DOCUMENT ME!

previousDimension

public int previousDimension(int k)

This method return the number of "scaling" functions at the previous scale given a number of scaling functions. The answer is always smaller than the provided value (about half since this is a dyadic implementation). This relates to the same idea as the "Filter type". It is used by the interface "Filter".

Specified by:

previousDimension in interface Filter

Overrides:

previousDimension in class Multiresolution

Parameters:

k - DOCUMENT ME!

Returns:

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lowpass

public double[] lowpass(double[] v,
                        double[] param)

This is the implementation of the lowpass Filter. It is used by the interface "Filter". Lowpass filters are normalized so that they preserve constants away from the boundaries.

Specified by:

lowpass in interface Filter

Parameters:

v - DOCUMENT ME!

param - DOCUMENT ME!

Returns:

DOCUMENT ME!

highpass

public double[] highpass(double[] v,
                         double[] param)

This is the implementation of the highpass Filter. It is used by the interface "Filter". Highpass filters are normalized in order to get L2 orthonormality of the resulting wavelets (when it applies). See the class DiscreteHilbertSpace for an implementation of the L2 integration.

Specified by:

highpass in interface Filter

Parameters:

v - DOCUMENT ME!

param - DOCUMENT ME!

Returns:

DOCUMENT ME!

lowpass

public double[] lowpass(double[] gete)

This is the implementation of the lowpass Filter. It is used by the interface "Filter". Lowpass filters are normalized so that they preserve constants away from the boundaries.

Specified by:

lowpass in interface Filter

Parameters:

gete - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

IllegalScalingException - DOCUMENT ME!

highpass

public double[] highpass(double[] gete)

This is the implementation of the highpass Filter. It is used by the interface "Filter". Highpass filters are normalized in order to get L2 orthonormality of the resulting wavelets (when it applies). See the class DiscreteHilbertSpace for an implementation of the L2 integration.

Specified by:

highpass in interface Filter

Parameters:

gete - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

IllegalScalingException - DOCUMENT ME!

evalScaling

public double[] evalScaling(int n0,
                            int k,
                            int j1)

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Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

j1 - DOCUMENT ME!

Returns:

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evalWavelet

public double[] evalWavelet(int n0,
                            int k,
                            int j1)

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Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

j1 - DOCUMENT ME!

Returns:

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