

Java example source code file (DctNormalization.java)
The DctNormalization.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 cosine transforms (DCT). The exact definition of these * normalizations is detailed below. * * @see FastCosineTransformer * @since 3.0 */ public enum DctNormalization { /** * Should be passed to the constructor of {@link FastCosineTransformer} * to use the <em>standard normalization convention. The standard * DCTI normalization convention is defined as follows * <ul> * <li>forward transform: * y<sub>n = (1/2) [x_{0} + (1)^{n}x_{N1}] * + ∑<sub>k=1^{N2} * x<sub>k cos[π nk / (N  1)], * <li>inverse transform: * x<sub>k = [1 / (N  1)] [y_{0} * + (1)<sup>ky_{N1}] * + [2 / (N  1)] ∑<sub>n=1^{N2} * y<sub>n cos[π nk / (N  1)], * </ul> * where N is the size of the data sample. */ STANDARD_DCT_I, /** * Should be passed to the constructor of {@link FastCosineTransformer} * to use the <em>orthogonal normalization convention. The orthogonal * DCTI normalization convention is defined as follows * <ul> * <li>forward transform: * y<sub>n = [2(N  1)]^{1/2} [x_{0} * + (1)<sup>nx_{N1}] * + [2 / (N  1)]<sup>1/2 ∑_{k=1}^{N2} * x<sub>k cos[π nk / (N  1)], * <li>inverse transform: * x<sub>k = [2(N  1)]^{1/2} [y_{0} * + (1)<sup>ky_{N1}] * + [2 / (N  1)]<sup>1/2 ∑_{n=1}^{N2} * y<sub>n cos[π nk / (N  1)], * </ul> * which makes the transform orthogonal. N is the size of the data sample. */ ORTHOGONAL_DCT_I; } Other Java examples (source code examples)Here is a short list of links related to this Java DctNormalization.java source code file: 
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