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Coiflet.cs
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Coiflet.cs
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///
/// SharpWave - A refactored port of JWave
/// https://github.com/graetz23/JWave
///
/// MIT License
///
/// Copyright (c) 2020-2024 Christian ([email protected])
///
/// Permission is hereby granted, free of charge, to any person obtaining a copy
/// of this software and associated documentation files (the "Software"), to deal
/// in the Software without restriction, including without limitation the rights
/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
/// copies of the Software, and to permit persons to whom the Software is
/// furnished to do so, subject to the following conditions:
///
/// The above copyright notice and this permission notice shall be included in all
/// copies or substantial portions of the Software.
///
/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
/// SOFTWARE.
///
using System;
namespace SharpWave
{
///<summary>
/// Ingrid Daubechies' orthonormal Coiflet wavelet of six coefficients.
///</summary>
///<remarks>
/// Christian ([email protected]) 15.02.2014 22:27:55
///</remarks>
public class Coiflet1 : Wavelet {
///<summary>
/// Constructor calculating analytically the orthogonal Coiflet wavelet of
/// six coefficients, orthonormalizes them (normed, due to ||*||2 euclidean
/// norm), and builds the scaling coefficients, and the orthonormal bases
/// afterwards; .
///</summary>
///<remarks>
/// Christian ([email protected]) 15.02.2014 22:27:55
///</remarks>
public Coiflet1( ) : base( "Coiflet 1", 6, 2 ) {
double sqrt02 = 1.4142135623730951;
double sqrt15 = Math.Sqrt( 15.0 );
// these coefficients are already orthonormal
_scalingDeCom[ 0 ] = sqrt02 * ( sqrt15 - 3.0 ) / 32.0; // -0.01565572813546454;
_scalingDeCom[ 1 ] = sqrt02 * ( 1.0 - sqrt15 ) / 32.0; // -0.0727326195128539;
_scalingDeCom[ 2 ] = sqrt02 * ( 6.0 - 2.0 * sqrt15 ) / 32.0; // 0.38486484686420286;
_scalingDeCom[ 3 ] = sqrt02 * ( 2.0 * sqrt15 + 6.0 ) / 32.0; // 0.852572020-20242122554;
_scalingDeCom[ 4 ] = sqrt02 * ( sqrt15 + 13.0 ) / 32.0; // 0.3378976624578092;
_scalingDeCom[ 5 ] = sqrt02 * ( 9.0 - sqrt15 ) / 32.0; //-0.0727326195128539;
_buildBaseSystem( ); // build all other from low pass decomposition
} // Coiflet1
} // class
///<summary>
/// Ingrid Daubechies' orthonormal Coiflet wavelet of twelve coefficients.
///</summary>
///<remarks>
/// Christian ([email protected]) 15.02.2014 22:33:55
///</remarks>
public class Coiflet2 : Wavelet {
///<summary>
/// Constructor calculating analytically the orthogonal Coiflet wavelet of
/// twelve coefficients, orthonormalizes them (normed, due to ||*||2
/// euclidean norm), and builds the scaling coefficients, and the
/// orthonormal bases afterwards.
///</summary>
///<remarks>
/// Christian ([email protected]) 15.02.2014 22:33:55
///</remarks>
public Coiflet2( ) : base( "Coiflet 2", 12, 2 ) {
_scalingDeCom[ 0 ] = -0.0007205494453645122;
_scalingDeCom[ 1 ] = -0.0018232088707029932;
_scalingDeCom[ 2 ] = 0.0056114348193944995;
_scalingDeCom[ 3 ] = 0.023680171946334084;
_scalingDeCom[ 4 ] = -0.0594344186464569;
_scalingDeCom[ 5 ] = -0.0764885990783064;
_scalingDeCom[ 6 ] = 0.41700518442169254;
_scalingDeCom[ 7 ] = 0.8127236354455423;
_scalingDeCom[ 8 ] = 0.3861100668211622;
_scalingDeCom[ 9 ] = -0.06737255472196302;
_scalingDeCom[ 10 ] = -0.04146493678175915;
_scalingDeCom[ 11 ] = 0.016387336463522112;
_buildBaseSystem( ); // build all other from low pass decomposition
} // Coiflet2
} // class
///<summary>
/// Ingrid Daubechies' orthonormal Coiflet wavelet of eighteen coefficients.
///</summary>
///<remarks>
/// Christian ([email protected]) 15.02.2014 22:58:59
///</remarks>
public class Coiflet3 : Wavelet {
///<summary>
/// Constructor calculating analytically the orthogonal Coiflet wavelet of
/// eighteen coefficients, orthonormalizes them (normed, due to ||*||2
/// euclidean norm), and builds the scaling coefficients, and the
/// orthonormal bases afterwards.
///</summary>
///<remarks>
/// Christian ([email protected]) 15.02.2014 22:58:59
///</remarks>
public Coiflet3( ) : base( "Coiflet 3", 18, 2 ) {
_scalingDeCom[ 0 ] = -3.459977283621256e-05;
_scalingDeCom[ 1 ] = -7.098330313814125e-05;
_scalingDeCom[ 2 ] = 0.0004662169601128863;
_scalingDeCom[ 3 ] = 0.0011175187708906016;
_scalingDeCom[ 4 ] = -0.0025745176887502236;
_scalingDeCom[ 5 ] = -0.00900797613666158;
_scalingDeCom[ 6 ] = 0.015880544863615904;
_scalingDeCom[ 7 ] = 0.03455502757306163;
_scalingDeCom[ 8 ] = -0.08230192710688598;
_scalingDeCom[ 9 ] = -0.07179982161931202;
_scalingDeCom[ 10 ] = 0.42848347637761874;
_scalingDeCom[ 11 ] = 0.7937772226256206;
_scalingDeCom[ 12 ] = 0.4051769024096169;
_scalingDeCom[ 13 ] = -0.06112339000267287;
_scalingDeCom[ 14 ] = -0.0657719112818555;
_scalingDeCom[ 15 ] = 0.023452696141836267;
_scalingDeCom[ 16 ] = 0.007782596427325418;
_scalingDeCom[ 17 ] = -0.003793512864491014;
_buildBaseSystem( ); // build all other from low pass decomposition
} // Coiflet3
} // class
///<summary>
/// Ingrid Daubechies' orthonormal Coiflet wavelet of twentyfour coefficients.
///</summary>
///<remarks>
/// Christian ([email protected]) 16.02.2014 01:46:11
///</remarks>
public class Coiflet4 : Wavelet {
///<summary>
/// Constructor calculating analytically the orthogonal Coiflet wavelet of
/// twentyfour coefficients, orthonormalizes them (normed, due to ||*||2
/// euclidean norm), and builds the scaling coefficients, and the
/// orthonormal bases afterwards.
///</summary>
///<remarks>
/// Christian ([email protected]) 16.02.2014 01:46:11
///</remarks>
public Coiflet4( ) : base( "Coiflet 4", 24, 2 ) {
_scalingDeCom[ 0 ] = -1.7849850030882614e-06;
_scalingDeCom[ 1 ] = -3.2596802368833675e-06;
_scalingDeCom[ 2 ] = 3.1229875865345646e-05;
_scalingDeCom[ 3 ] = 6.233903446100713e-05;
_scalingDeCom[ 4 ] = -0.00025997455248771324;
_scalingDeCom[ 5 ] = -0.0005890207562443383;
_scalingDeCom[ 6 ] = 0.0012665619292989445;
_scalingDeCom[ 7 ] = 0.003751436157278457;
_scalingDeCom[ 8 ] = -0.00565828668661072;
_scalingDeCom[ 9 ] = -0.015211731527946259;
_scalingDeCom[ 10 ] = 0.025082261844864097;
_scalingDeCom[ 11 ] = 0.03933442712333749;
_scalingDeCom[ 12 ] = -0.09622044203398798;
_scalingDeCom[ 13 ] = -0.06662747426342504;
_scalingDeCom[ 14 ] = 0.4343860564914685;
_scalingDeCom[ 15 ] = 0.782238930920499;
_scalingDeCom[ 16 ] = 0.41530840703043026;
_scalingDeCom[ 17 ] = -0.05607731331675481;
_scalingDeCom[ 18 ] = -0.08126669968087875;
_scalingDeCom[ 19 ] = 0.026682300156053072;
_scalingDeCom[ 20 ] = 0.016068943964776348;
_scalingDeCom[ 21 ] = -0.0073461663276420935;
_scalingDeCom[ 22 ] = -0.0016294920126017326;
_scalingDeCom[ 23 ] = 0.0008923136685823146;
_buildBaseSystem( ); // build all other from low pass decomposition
} // Coiflet4
} // class
///<summary>
/// Ingrid Daubechies' orthonormal Coiflet wavelet of thirty coefficients.
///</summary>
///<remarks>
/// Christian ([email protected]) 16.02.2014 01:49:39
///</remarks>
public class Coiflet5 : Wavelet {
///<summary>
/// Constructor calculating analytically the orthogonal Coiflet wavelet of
/// thirty coefficients, orthonormalizes them (normed, due to ||*||2
/// euclidean norm), and builds the scaling coefficients, and the
/// orthonormal bases afterwards.
///</summary>
///<remarks>
/// Christian ([email protected]) 16.02.2014 01:49:39
///</remarks>
public Coiflet5( ) : base( "Coiflet 5", 30, 2 ) {
_scalingDeCom[ 0 ] = -9.517657273819165e-08;
_scalingDeCom[ 1 ] = -1.6744288576823017e-07;
_scalingDeCom[ 2 ] = 2.0637618513646814e-06;
_scalingDeCom[ 3 ] = 3.7346551751414047e-06;
_scalingDeCom[ 4 ] = -2.1315026809955787e-05;
_scalingDeCom[ 5 ] = -4.134043227251251e-05;
_scalingDeCom[ 6 ] = 0.00014054114970203437;
_scalingDeCom[ 7 ] = 0.00030225958181306315;
_scalingDeCom[ 8 ] = -0.0006381313430451114;
_scalingDeCom[ 9 ] = -0.0016628637020130838;
_scalingDeCom[ 10 ] = 0.0024333732126576722;
_scalingDeCom[ 11 ] = 0.006764185448053083;
_scalingDeCom[ 12 ] = -0.009164231162481846;
_scalingDeCom[ 13 ] = -0.01976177894257264;
_scalingDeCom[ 14 ] = 0.03268357426711183;
_scalingDeCom[ 15 ] = 0.0412892087501817;
_scalingDeCom[ 16 ] = -0.10557420870333893;
_scalingDeCom[ 17 ] = -0.06203596396290357;
_scalingDeCom[ 18 ] = 0.4379916261718371;
_scalingDeCom[ 19 ] = 0.7742896036529562;
_scalingDeCom[ 20 ] = 0.4215662066908515;
_scalingDeCom[ 21 ] = -0.05204316317624377;
_scalingDeCom[ 22 ] = -0.09192001055969624;
_scalingDeCom[ 23 ] = 0.02816802897093635;
_scalingDeCom[ 24 ] = 0.023408156785839195;
_scalingDeCom[ 25 ] = -0.010131117519849788;
_scalingDeCom[ 26 ] = -0.004159358781386048;
_scalingDeCom[ 27 ] = 0.0021782363581090178;
_scalingDeCom[ 28 ] = 0.00035858968789573785;
_scalingDeCom[ 29 ] = -0.00021208083980379827;
_buildBaseSystem( ); // build all other from low pass decomposition
} // Coiflet5
} // class
} // namespace