Package de.gsi.math.spectra

Class HilbertTransform

java.lang.Object

de.gsi.math.spectra.Convolution

de.gsi.math.spectra.HilbertTransform

public class HilbertTransform
extends Convolution

Field Summary

Fields inherited from class de.gsi.math.spectra.Convolution

f1dFFT

Constructor Summary

Constructors

Constructor	Description
HilbertTransform()

Method Summary

Modifier and Type	Method	Description
double[]	computeAmplitude(double[] data)
double[]	computeInstantaneousAmplitude(double[] data)
double[]	computeInstantaneousFrequency(double[] data)
double[]	computePhase(double[] data)
double[]	computePhase(double[] data, double[] amplitude)
static double	modulo(double x, double m)
double[]	transform(double[] data)	Hilbert Transform
double[]	transform2(double[] data)
double[]	transformFourier(double[] data)	FFT based Hilbert Transform computation is done in Fourier domain
double[]	transformTime(double[] data)	discrete Hilbert transform according to: S.
static void	UnwrapPhase1(double[] phase)
static void	UnwrapPhase2(double[] phase)

Methods inherited from class de.gsi.math.spectra.Convolution

complexMultiply, getDerivativeFilter, getHilbertFilter, getIdentityFilter, getLowPassFilter, getMorletFilter, main, MorletWaveletFunctionFourier, Test, transform, transformFull

Methods inherited from class java.lang.Object

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

Constructor Detail

HilbertTransform

public HilbertTransform()

Method Detail

computeAmplitude

public double[] computeAmplitude(double[] data)

computeInstantaneousAmplitude

public double[] computeInstantaneousAmplitude(double[] data)

computeInstantaneousFrequency

public double[] computeInstantaneousFrequency(double[] data)

computePhase

public double[] computePhase(double[] data)

computePhase

public double[] computePhase(double[] data,
                             double[] amplitude)

transform

public double[] transform(double[] data)

Hilbert Transform

Parameters:

data - input data

Returns:

Hilbert-transformed signal

transform2

public double[] transform2(double[] data)

transformFourier

public double[] transformFourier(double[] data)

FFT based Hilbert Transform computation is done in Fourier domain

Parameters:

data - input data

Returns:

Hilbert-transformed signal

transformTime

public double[] transformTime(double[] data)

discrete Hilbert transform according to: S. Kak, The discrete Hilbert transform. Proc. IEEE, vol. 58, pp. 585-586, 1970. computation is done in time domain

Parameters:

data - input data

Returns:

Hilbert-transformed Signal

modulo

public static double modulo(double x,
                            double m)

UnwrapPhase1

public static void UnwrapPhase1(double[] phase)

UnwrapPhase2

public static void UnwrapPhase2(double[] phase)