Apache Commons Math 3.6.1 · org.apache.commons.math3.transform.DftNormalization

public final Enum DftNormalization

Class Inheritance

java.lang.Object
java.lang.Enum
org.apache.commons.math3.transform.DftNormalization

This enumeration defines the various types of normalizations that can be applied to discrete Fourier transforms (DFT). The exact definition of these normalizations is detailed below.

Field Summary

Modifier and Type	Field and Description
public static final DftNormalization	STANDARD Should be passed to the constructor of `FastFourierTransformer` to use the standard normalization convention.
public static final DftNormalization	UNITARY Should be passed to the constructor of `FastFourierTransformer` to use the unitary normalization convention.

Constructor Summary

Access	Constructor and Description
private	DftNormalization()

Modifier and Type	Method and Description
public static DftNormalization	valueOf(String name)
public static DftNormalization[]	values()

Modifier and Type

Method and Description

public static DftNormalization

valueOf(String name)

public static DftNormalization[]

values()

Field Detail

STANDARD back to summary

STANDARD	back to summary
public static final DftNormalization STANDARD Should be passed to the constructor of `FastFourierTransformer` to use the standard normalization convention. This normalization convention is defined as follows forward transform: y_n = ∑_k=0^N-1 x_k exp(-2πi n k / N), inverse transform: x_k = N^-1 ∑_n=0^N-1 y_n exp(2πi n k / N), where N is the size of the data sample.

public static final DftNormalization STANDARD

Should be passed to the constructor of FastFourierTransformer to use the standard normalization convention. This normalization convention is defined as follows

forward transform: y_n = ∑_k=0^N-1 x_k exp(-2πi n k / N),
inverse transform: x_k = N^-1 ∑_n=0^N-1 y_n exp(2πi n k / N),

where N is the size of the data sample.

UNITARY back to summary

UNITARY	back to summary
public static final DftNormalization UNITARY Should be passed to the constructor of `FastFourierTransformer` to use the unitary normalization convention. This normalization convention is defined as follows forward transform: y_n = (1 / √N) ∑_k=0^N-1 x_k exp(-2πi n k / N), inverse transform: x_k = (1 / √N) ∑_n=0^N-1 y_n exp(2πi n k / N), which makes the transform unitary. N is the size of the data sample.

public static final DftNormalization UNITARY

Should be passed to the constructor of FastFourierTransformer to use the unitary normalization convention. This normalization convention is defined as follows

forward transform: y_n = (1 / √N) ∑_k=0^N-1 x_k exp(-2πi n k / N),
inverse transform: x_k = (1 / √N) ∑_n=0^N-1 y_n exp(2πi n k / N),

which makes the transform unitary. N is the size of the data sample.

Constructor Detail

DftNormalization	back to summary
private DftNormalization()

valueOf	back to summary
public static DftNormalization valueOf(String name)

valueOf

back to summary

public static DftNormalization valueOf(String name)

values	back to summary
public static DftNormalization[] values()

values

back to summary

public static DftNormalization[] values()

public final Enum DftNormalization

Field Summary

Constructor Summary

Method Summary

Field Detail

Constructor Detail

Method Detail