de.gsi.math.spectra.wavelet

Class ContinuousWavelet

java.lang.Object

de.gsi.math.spectra.wavelet.ContinuousWavelet

public class ContinuousWavelet
extends Object

Field Summary

Fields

Modifier and Type	Field and Description
protected boolean	DEBUG
protected int	START_THREADS

Constructor Summary

Constructors

Constructor and Description
ContinuousWavelet()

Method Summary

Modifier and Type	Method and Description
DoubleDataSet3D	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(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(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.
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

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 DoubleDataSet3D 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(String[] args)