Catalano.Math.Transforms

Class FourierTransform

java.lang.Object

Catalano.Math.Transforms.FourierTransform

public class FourierTransform
extends java.lang.Object

Fourier transformation.
The class implements one dimensional and two dimensional Discrete and Fast Fourier Transformation.

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	FourierTransform.Direction Transformation direction.

Constructor Summary

Constructors

Constructor and Description
FourierTransform()

Method Summary

Modifier and Type	Method and Description
static void	DFT(ComplexNumber[] data, FourierTransform.Direction direction) 1-D Discrete Fourier Transform.
static void	DFT2(ComplexNumber[][] data, FourierTransform.Direction direction) 2-D Discrete Fourier Transform.
static void	FFT(ComplexNumber[] data, FourierTransform.Direction direction) 1-D Fast Fourier Transform.
static void	FFT2(ComplexNumber[][] data, FourierTransform.Direction direction) 2-D Fast Fourier Transform.
static void	FFTShift1D(double[] x, FourierTransform.Direction direction) Shift zero-frequency component to center of spectrum.
static <E> void	FFTShift1D(E[] x, FourierTransform.Direction direction) Shift zero-frequency component to center of spectrum.
static void	FFTShift2D(double[][] x, FourierTransform.Direction direction) Shift zero-frequency component to center of spectrum.
static void	FFTShift2D(double[][] x, FourierTransform.Direction direction, int dimension) Shift zero-frequency component to center of spectrum.
static <E> void	FFTShift2D(E[][] x, FourierTransform.Direction direction) Shift zero-frequency component to center of spectrum.
static <E> void	FFTShift2D(E[][] x, FourierTransform.Direction direction, int dimension) Shift zero-frequency component to center of spectrum.

Methods inherited from class java.lang.Object

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

Constructor Detail

FourierTransform

public FourierTransform()

Method Detail

DFT

public static void DFT(ComplexNumber[] data,
                       FourierTransform.Direction direction)

1-D Discrete Fourier Transform.

Parameters:

data - Data to transform.

direction - Transformation direction.

DFT2

public static void DFT2(ComplexNumber[][] data,
                        FourierTransform.Direction direction)

2-D Discrete Fourier Transform.

Parameters:

data - Data to transform.

direction - Transformation direction.

FFT

public static void FFT(ComplexNumber[] data,
                       FourierTransform.Direction direction)

1-D Fast Fourier Transform.

Parameters:

data - Data to transform.

direction - Transformation direction.

FFT2

public static void FFT2(ComplexNumber[][] data,
                        FourierTransform.Direction direction)

2-D Fast Fourier Transform.

Parameters:

data - Data to transform.

direction - Transformation direction.

FFTShift1D

public static void FFTShift1D(double[] x,
                              FourierTransform.Direction direction)

Shift zero-frequency component to center of spectrum.

Parameters:

x - Data.

direction - Transformation direction.

FFTShift1D

public static <E> void FFTShift1D(E[] x,
                                  FourierTransform.Direction direction)

Shift zero-frequency component to center of spectrum.

Type Parameters:

E - Object.

Parameters:

x - Data.

direction - Transformation direction.

FFTShift2D

public static void FFTShift2D(double[][] x,
                              FourierTransform.Direction direction)

Shift zero-frequency component to center of spectrum.

Parameters:

x - Data.

direction - Direction.

FFTShift2D

public static void FFTShift2D(double[][] x,
                              FourierTransform.Direction direction,
                              int dimension)

Shift zero-frequency component to center of spectrum.

Parameters:

x - Data.

direction - Direction.

dimension - Dimension.

FFTShift2D

public static <E> void FFTShift2D(E[][] x,
                                  FourierTransform.Direction direction)

Shift zero-frequency component to center of spectrum.

Parameters:

x - Data.

direction - Direction.

FFTShift2D

public static <E> void FFTShift2D(E[][] x,
                                  FourierTransform.Direction direction,
                                  int dimension)

Shift zero-frequency component to center of spectrum.

Parameters:

x - Data.

direction - Direction.

dimension - Dimension.