

Java example source code file (DftNormalization.java)
The DftNormalization.java Java example source code/* * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed with * this work for additional information regarding copyright ownership. * The ASF licenses this file to You under the Apache License, Version 2.0 * (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package org.apache.commons.math3.transform; /** * 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. * * @see FastFourierTransformer * @since 3.0 */ public enum DftNormalization { /** * Should be passed to the constructor of {@link FastFourierTransformer} * to use the <em>standard normalization convention. This normalization * convention is defined as follows * <ul> * <li>forward transform: y_{n} = ∑_{k=0}^{N1} * x<sub>k exp(2πi n k / N), * <li>inverse transform: x_{k} = N^{1} * ∑<sub>n=0^{N1} y_{n} exp(2πi n k / N), * </ul> * where N is the size of the data sample. */ STANDARD, /** * Should be passed to the constructor of {@link FastFourierTransformer} * to use the <em>unitary normalization convention. This normalization * convention is defined as follows * <ul> * <li>forward transform: y_{n} = (1 / √N) * ∑<sub>k=0^{N1} x_{k} * exp(2πi n k / N),</li> * <li>inverse transform: x_{k} = (1 / √N) * ∑<sub>n=0^{N1} y_{n} exp(2πi n k / N), * </ul> * which makes the transform unitary. N is the size of the data sample. */ UNITARY; } Other Java examples (source code examples)Here is a short list of links related to this Java DftNormalization.java source code file: 
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