JSci.maths.wavelet
Class FWTCoef

java.lang.Object
  JSci.maths.wavelet.FWTCoef

All Implemented Interfaces:

java.lang.Cloneable, NumericalConstants

public final class FWTCoef
extends java.lang.Object
implements NumericalConstants, java.lang.Cloneable

This class is used to encapsulate wavelet coefficients.

Field Summary

protected double[][]	coefs
(package private) static double	normalisation

Fields inherited from interface JSci.maths.NumericalConstants

GAMMA, GOLDEN_RATIO, LOG10, SQRT2, SQRT2PI, TWO_PI

Constructor Summary

FWTCoef()

FWTCoef(double[][] v)

Method Summary

java.lang.Object	clone() Return a copy of this object
void	compress(double p) Compresses by zero-ing any value below a given percentile cut-off.
static double[]	compress(double[] v, double p) Compresses by zero-ing any value below a given percentile cut-off.
void	compress(double p, int k) Compresses by zero-ing any value below a given percentile cut-off.
void	compressHard(double p) Compresses by zero-ing any value below a given cut-off.
static double[]	compressHard(double[] v, double seuil) Compresses by zero-ing any value below a given cut-off.
void	compressHard(double p, int k) Compresses by zero-ing any value below a given cut-off.
void	denoise(double p) Denoises by zero-ing any value above a given percentile cut-off.
static double[]	denoise(double[] v, double p) Denoises by zero-ing any value above a given percentile cut-off.
void	denoise(double p, int k) Denoises by zero-ing any value above a given percentile cut-off.
void	denoiseHard(double p) Denoises by zero-ing any value above a given cut-off.
static double[]	denoiseHard(double[] v, double seuil) Denoises by zero-ing any value above a given cut-off.
void	denoiseHard(double p, int k) Denoises by zero-ing any value above a given cut-off.
int	dimension(int i)
double	energyRatio(int i)
double	entropy()
double[][]	getCoefs()
int	getJ()
double	icf() Compute the Shannon entropy.
double	mass(int i)
double[]	norm() Compute the L2 norm of the coefficients
double	norm(int i) Compute the L2 norm of the coefficients at "scale" i.
Signal	rebuildSignal(Filter filtreprimaire)
Signal	rebuildSignal(Filter filtreprimaire, double[] param)
void	setCoefs(double[][] v)
void	setCoefs(double[] v, int i)
double	sumEnergies()
double	sumSquares(int i) Compute the sum of the squares of the coefficients
double	sumVariance()
void	synthesize(Filter filtreprimaire)
void	synthesize(Filter filtreprimaire, double[] param)
void	synthesize(Filter filtreprimaire, double[] param, int jmax)
void	synthesize(Filter filtreprimaire, int jmax)
void	synthesizeAll(Filter filtreprimaire)
void	synthesizeAll(Filter filtreprimaire, double[] param)
double	variance(int i)
double	varianceICF()
double	varianceRatio(int i)

Methods inherited from class java.lang.Object

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

Field Detail

coefs

protected double[][] coefs

normalisation

static final double normalisation

See Also:

Constant Field Values

Constructor Detail

FWTCoef

public FWTCoef()

FWTCoef

public FWTCoef(double[][] v)

Method Detail

clone

public java.lang.Object clone()

Return a copy of this object

Overrides:

clone in class java.lang.Object

getJ

public int getJ()

dimension

public int dimension(int i)

getCoefs

public double[][] getCoefs()

norm

public double[] norm()

Compute the L2 norm of the coefficients

norm

public double norm(int i)

Compute the L2 norm of the coefficients at "scale" i. Wavelet coefficients are into the "scale" 1 to ... and the scale 0 is the coarsest scale containing scaling functions coefficients

sumSquares

public double sumSquares(int i)

Compute the sum of the squares of the coefficients

mass

public double mass(int i)

variance

public double variance(int i)

sumEnergies

public double sumEnergies()

entropy

public double entropy()

sumVariance

public double sumVariance()

energyRatio

public double energyRatio(int i)

varianceRatio

public double varianceRatio(int i)

icf

public double icf()

Compute the Shannon entropy.

varianceICF

public double varianceICF()

setCoefs

public void setCoefs(double[][] v)

setCoefs

public void setCoefs(double[] v,
                     int i)

synthesize

public void synthesize(Filter filtreprimaire,
                       double[] param)

synthesize

public void synthesize(Filter filtreprimaire,
                       double[] param,
                       int jmax)

synthesizeAll

public void synthesizeAll(Filter filtreprimaire,
                          double[] param)

synthesize

public void synthesize(Filter filtreprimaire)

synthesize

public void synthesize(Filter filtreprimaire,
                       int jmax)

synthesizeAll

public void synthesizeAll(Filter filtreprimaire)

rebuildSignal

public Signal rebuildSignal(Filter filtreprimaire)

rebuildSignal

public Signal rebuildSignal(Filter filtreprimaire,
                            double[] param)

denoise

public void denoise(double p)

Denoises by zero-ing any value above a given percentile cut-off.

Parameters:

p - percentile cut-off, must be between 0 and 1.

denoise

public void denoise(double p,
                    int k)

Denoises by zero-ing any value above a given percentile cut-off.

Parameters:

p - percentile cut-off, must be between 0 and 1.

k - the index of the coefficient array to denoise.

denoise

public static double[] denoise(double[] v,
                               double p)

Denoises by zero-ing any value above a given percentile cut-off.

Parameters:

v - an array to denoise.

p - percentile cut-off, must be between 0 and 1.

compress

public void compress(double p)

Compresses by zero-ing any value below a given percentile cut-off.

Parameters:

p - percentile cut-off, must be between 0 and 1.

compress

public void compress(double p,
                     int k)

Compresses by zero-ing any value below a given percentile cut-off.

Parameters:

p - percentile cut-off, must be between 0 and 1.

k - the index of the coefficient array to compress.

compress

public static double[] compress(double[] v,
                                double p)

Compresses by zero-ing any value below a given percentile cut-off.

Parameters:

v - an array to compress.

p - percentile cut-off, must be between 0 and 1.

denoiseHard

public void denoiseHard(double p)

Denoises by zero-ing any value above a given cut-off.

Parameters:

p - cut-off.

denoiseHard

public void denoiseHard(double p,
                        int k)

Denoises by zero-ing any value above a given cut-off.

Parameters:

p - cut-off.

k - the index of the coefficient array to denoise.

denoiseHard

public static double[] denoiseHard(double[] v,
                                   double seuil)

Denoises by zero-ing any value above a given cut-off.

Parameters:

v - an array to denoise.

seuil - cut-off/threshold.

compressHard

public void compressHard(double p)

Compresses by zero-ing any value below a given cut-off.

Parameters:

p - cut-off.

compressHard

public void compressHard(double p,
                         int k)

Compresses by zero-ing any value below a given cut-off.

Parameters:

p - cut-off.

k - the index of the coefficient array to compress.

compressHard

public static double[] compressHard(double[] v,
                                    double seuil)

Compresses by zero-ing any value below a given cut-off.

Parameters:

v - an array to compress.

seuil - cut-off/threshold.