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

public final Enum DstNormalization

Class Inheritance

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

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

Field Summary

Modifier and Type	Field and Description
public static final DstNormalization	ORTHOGONAL_DST_I Should be passed to the constructor of `FastSineTransformer` to use the orthogonal normalization convention.
public static final DstNormalization	STANDARD_DST_I Should be passed to the constructor of `FastSineTransformer` to use the standard normalization convention.

Constructor Summary

Access	Constructor and Description
private	DstNormalization()

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

Modifier and Type

Method and Description

public static DstNormalization

valueOf(String name)

public static DstNormalization[]

values()

Field Detail

ORTHOGONAL_DST_I back to summary

ORTHOGONAL_DST_I	back to summary
public static final DstNormalization ORTHOGONAL_DST_I Should be passed to the constructor of `FastSineTransformer` to use the orthogonal normalization convention. The orthogonal DCT-I normalization convention is defined as follows Forward transform: y_n = √(2 / N) ∑_k=0^N-1 x_k sin(π nk / N), Inverse transform: x_k = √(2 / N) ∑_n=0^N-1 y_n sin(π nk / N), which makes the transform orthogonal. N is the size of the data sample, and x₀ = 0.

public static final DstNormalization ORTHOGONAL_DST_I

Should be passed to the constructor of FastSineTransformer to use the orthogonal normalization convention. The orthogonal DCT-I normalization convention is defined as follows

Forward transform: y_n = √(2 / N) ∑_k=0^N-1 x_k sin(π nk / N),
Inverse transform: x_k = √(2 / N) ∑_n=0^N-1 y_n sin(π nk / N),

which makes the transform orthogonal. N is the size of the data sample, and x₀ = 0.

STANDARD_DST_I back to summary

STANDARD_DST_I	back to summary
public static final DstNormalization STANDARD_DST_I Should be passed to the constructor of `FastSineTransformer` to use the standard normalization convention. The standard DST-I normalization convention is defined as follows forward transform: y_n = ∑_k=0^N-1 x_k sin(π nk / N), inverse transform: x_k = (2 / N) ∑_n=0^N-1 y_n sin(π nk / N), where N is the size of the data sample, and x₀ = 0.

public static final DstNormalization STANDARD_DST_I

Should be passed to the constructor of FastSineTransformer to use the standard normalization convention. The standard DST-I normalization convention is defined as follows

forward transform: y_n = ∑_k=0^N-1 x_k sin(π nk / N),
inverse transform: x_k = (2 / N) ∑_n=0^N-1 y_n sin(π nk / N),

where N is the size of the data sample, and x₀ = 0.

Constructor Detail

DstNormalization	back to summary
private DstNormalization()

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

valueOf

back to summary

public static DstNormalization valueOf(String name)

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

values

back to summary

public static DstNormalization[] values()

public final Enum DstNormalization

Field Summary

Constructor Summary

Method Summary

Field Detail

Constructor Detail

Method Detail