math.fourierTransforms.interleaved
Class RealDoubleFFT

java.lang.Object
  math.fourierTransforms.interleaved.RealDoubleFFT

Direct Known Subclasses:

RealDoubleFFT_Even, RealDoubleFFT_Radix2

public abstract class RealDoubleFFT
extends java.lang.Object

Abstract Class representing FFT's of real, double precision data. Concrete classes are typically named RealDoubleFFT_method, implement the FFT using some particular method.

The physical layout of the mathematical data d[i] in the array data is as follows:

    d[i] = data[i0 + stride*i]

The FFT (D[i]) of real data (d[i]) is complex, but restricted by symmetry:

    D[n-i] = conj(D[i])

It turns out that there are still n `independent' values, so the transformation can still be carried out in-place. However, each Real FFT method tends to leave the real and imaginary parts distributed in the data array in its own unique arrangment.

You must consult the documentation for the specific classes implementing RealDoubleFFT for the details. Note, however, that each class's backtransform and inverse methods understand thier own unique ordering of the transformed result and can invert it correctly.

Author:

Bruce R. Miller bruce.miller@nist.gov, Contribution of the National Institute of Standards and Technology,, not subject to copyright.

Constructor Summary

RealDoubleFFT(int n)
Create an FFT for transforming n points of real, double precision data.

Method Summary

void	backtransform(double[] data) Compute the (unnomalized) inverse FFT of data, leaving it in place.
abstract void	backtransform(double[] data, int i0, int stride) Compute the (unnomalized) inverse FFT of data, leaving it in place.
void	inverse(double[] data) Compute the (nomalized) inverse FFT of data, leaving it in place.
void	inverse(double[] data, int i0, int stride) Compute the (nomalized) inverse FFT of data, leaving it in place.
double	normalization() Return the normalization factor.
abstract double[]	toWraparoundOrder(double[] data) Return data in wraparound order.
abstract double[]	toWraparoundOrder(double[] data, int i0, int stride) Return data in wraparound order.
void	transform(double[] data) Compute the Fast Fourier Transform of data leaving the result in data.
abstract void	transform(double[] data, int i0, int stride) Compute the Fast Fourier Transform of data leaving the result in data.

Methods inherited from class java.lang.Object

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

Constructor Detail

RealDoubleFFT

public RealDoubleFFT(int n)

Create an FFT for transforming n points of real, double precision data.

Method Detail

transform

public void transform(double[] data)

Compute the Fast Fourier Transform of data leaving the result in data.

transform

public abstract void transform(double[] data,
                               int i0,
                               int stride)

Compute the Fast Fourier Transform of data leaving the result in data.

toWraparoundOrder

public abstract double[] toWraparoundOrder(double[] data)

Return data in wraparound order.

See Also:

wraparound format

toWraparoundOrder

public abstract double[] toWraparoundOrder(double[] data,
                                           int i0,
                                           int stride)

Return data in wraparound order. i0 and stride are used to traverse data; the new array is in packed (i0=0, stride=1) format.

See Also:

wraparound format

backtransform

public void backtransform(double[] data)

Compute the (unnomalized) inverse FFT of data, leaving it in place.

backtransform

public abstract void backtransform(double[] data,
                                   int i0,
                                   int stride)

Compute the (unnomalized) inverse FFT of data, leaving it in place.

normalization

public double normalization()

Return the normalization factor. Multiply the elements of the backtransform'ed data to get the normalized inverse.

inverse

public void inverse(double[] data)

Compute the (nomalized) inverse FFT of data, leaving it in place.

inverse

public void inverse(double[] data,
                    int i0,
                    int stride)

Compute the (nomalized) inverse FFT of data, leaving it in place.