Package de.gsi.math.spectra.wavelet

Class ContinuousWavelet

java.lang.Object

de.gsi.math.spectra.wavelet.ContinuousWavelet

public class ContinuousWavelet
extends java.lang.Object

Field Summary

Fields

Modifier and Type	Field	Description
protected boolean	DEBUG
protected int	START_THREADS

Constructor Summary

Constructors

Constructor	Description
ContinuousWavelet()

Method Summary

Modifier and Type	Method	Description
de.gsi.dataset.DataSet	getScalogram(double[] data, int nQuantx, int nQuanty, double nu, double fmin, double fmax)	Wavelet Scalogram implementation with truncated convolution the assumption is made that the wavelet vanishes for large scales
double[][]	getScalogramArray(double[] data, int nQuantx, int nQuanty, double nu, double fmin, double fmax)
double[][]	getScalogramArrayFourier(double[] data, int nQuantx, int nQuanty, double nu, double fmin, double fmax)
double[]	getScalogramFrequencyAxis(int nQuantx, int nQuanty, double nu, double fmin, double fmax)
double[]	getScalogramTimeAxis(double[] data, int nQuantx, int nQuanty, double nu, double fmin, double fmax)
int	getStatus()
boolean	isBusy()
static void	main(java.lang.String[] args)
org.apache.commons.math3.complex.Complex	MexicanHat(double x)
org.apache.commons.math3.complex.Complex	Morlet(double x, double nu)	Complex Morlet wavelet function
void	Morlet(double x, double nu, double[] ret)	Complex Morlet wavelet function this version avoids the Complex object for the sake of performance
org.apache.commons.math3.complex.Complex	Paul(double x, int m)	Complex Paul wavelet function
org.apache.commons.math3.complex.Complex	WaveletTransform(double[] data, double scale, double translation, double nu)	Wavelet Scalogram implementation with truncated convolution the assumption is made that the wavelet vanishes for large scales
org.apache.commons.math3.complex.Complex	WaveletTransform(org.apache.commons.math3.complex.Complex[] data, double scale, double translation, double nu)	Complex Wavelet Scalogram implementation -- no assumptions on the Wavelet nor input data are made.

Methods inherited from class java.lang.Object

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

Field Detail

START_THREADS

protected int START_THREADS

DEBUG

protected boolean DEBUG

Constructor Detail

ContinuousWavelet

public ContinuousWavelet()

Method Detail

getScalogram

public de.gsi.dataset.DataSet getScalogram(double[] data,
                                           int nQuantx,
                                           int nQuanty,
                                           double nu,
                                           double fmin,
                                           double fmax)

Wavelet Scalogram implementation with truncated convolution the assumption is made that the wavelet vanishes for large scales

Parameters:

data - real valued input data

nQuantx - number of bins on the time axis

nQuanty - number of frequency bins of full range

nu - the number of oscillations per wavelet

fmin - minimum scalogram frequency range

fmax - maximum scalogram frequency range

Returns:

the complex scalogram spectrum

getScalogramArray

public double[][] getScalogramArray(double[] data,
                                    int nQuantx,
                                    int nQuanty,
                                    double nu,
                                    double fmin,
                                    double fmax)

Parameters:

data - input data

nQuantx - number of bins on the time axis

nQuanty - number of frequency bins of full range

nu - Morlet wavelet oscillation parameter

fmin - minimum scalogram frequency range

fmax - maximum scalogram frequency range

Returns:

Scalogram power in dB

getScalogramArrayFourier

public double[][] getScalogramArrayFourier(double[] data,
                                           int nQuantx,
                                           int nQuanty,
                                           double nu,
                                           double fmin,
                                           double fmax)

Parameters:

data - input data

nQuantx - number of bins on the time axis

nQuanty - number of frequency bins of full range

nu - Morlet wavelet oscillation parameter

fmin - minimum scalogram frequency range

fmax - maximum scalogram frequency range

Returns:

Scalogram power in dB

getScalogramFrequencyAxis

public double[] getScalogramFrequencyAxis(int nQuantx,
                                          int nQuanty,
                                          double nu,
                                          double fmin,
                                          double fmax)

getScalogramTimeAxis

public double[] getScalogramTimeAxis(double[] data,
                                     int nQuantx,
                                     int nQuanty,
                                     double nu,
                                     double fmin,
                                     double fmax)

getStatus

public int getStatus()

Returns:

progress of pending calculations in percent

isBusy

public boolean isBusy()

Returns:

whether class is busy computing a spectra

MexicanHat

public org.apache.commons.math3.complex.Complex MexicanHat(double x)

Morlet

public org.apache.commons.math3.complex.Complex Morlet(double x,
                                                       double nu)

Complex Morlet wavelet function

Parameters:

x - the

nu - the oscillatory parameter (needs to be > 0.8)

Returns:

reference: P. Goupillaud, A. Grossman, and J. Morlet., Cycle-Octave and Related Transforms in Seismic Signal Analysis., Geoexploration, 23:85-102, 1984

Morlet

public void Morlet(double x,
                   double nu,
                   double[] ret)

Complex Morlet wavelet function this version avoids the Complex object for the sake of performance

Parameters:

x - input

nu - the oscillatory parameter

ret - return value ret[0] stores the real and ret[1] the imaginary value of the function reference: P. Goupillaud, A. Grossman, and J. Morlet., Cycle-Octave and Related Transforms in Seismic Signal Analysis., Geoexploration, 23:85-102, 1984

Paul

public org.apache.commons.math3.complex.Complex Paul(double x,
                                                     int m)

Complex Paul wavelet function

Parameters:

x - input

m - input

Returns:

complex Paul wavelet function

WaveletTransform

public org.apache.commons.math3.complex.Complex WaveletTransform(org.apache.commons.math3.complex.Complex[] data,
                                                                 double scale,
                                                                 double translation,
                                                                 double nu)

Complex Wavelet Scalogram implementation -- no assumptions on the Wavelet nor input data are made. -- beware: this transform is quite time-consuming

Parameters:

data - complex valued input data

scale - the scale parameter

translation - the time shift parameter

nu - the number of oscillations per wavelet

Returns:

the complex scalogram spectrum coefficient

WaveletTransform

public org.apache.commons.math3.complex.Complex WaveletTransform(double[] data,
                                                                 double scale,
                                                                 double translation,
                                                                 double nu)

Wavelet Scalogram implementation with truncated convolution the assumption is made that the wavelet vanishes for large scales

Parameters:

data - real valued input data

scale - the scale parameter

translation - the time shift parameter

nu - the number of oscillations per wavelet

Returns:

the complex scalogram spectrum coefficient

main

public static void main(java.lang.String[] args)