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ウェーブレット(Wavelet)変換~基礎編

( wavelet ) ( wavelet ) Maple ( wavelet ) 1 ( wavelet ) f(t) 2 Maple (Daubechies Symlet Coiflet Battle-Lemarie ) (CDF ) Maple DiscreteTransforms - DiscreteWaveletTransform - InverseDiscreteWaveletTransform - WaveletCoefficients

ウェーブレット(Wavelet)変換~基礎編 はじめに このワークシートでは、ウェーブレット(Wavelet)の基礎に関して、Maple による操作方

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Transcription of ウェーブレット(Wavelet)変換~基礎編

1 ( wavelet ) ( wavelet ) Maple ( wavelet ) 1 ( wavelet ) f(t) 2 Maple (Daubechies Symlet Coiflet Battle-Lemarie ) (CDF )

2 Maple DiscreteTransforms - DiscreteWaveletTransform - InverseDiscreteWaveletTransform - WaveletCoefficients - WaveletPlot >>>>>>>>>>( )( )( )( )>> ( wavelet ) restart 20 Digitsd20 :DiscreteTransforms with DiscreteTransformsDiscreteWaveletTransfo rm,FourierTransform,InverseDiscreteWavel etTransform,InverseFourierTransform,Wave letCoefficients,WaveletPlot datadImportMatrix"C:\\ ",datatype=float8;data:=50 x 2 MatrixData Type: float8 Storage: rectangularOrder: Fortran_order withplots:pointplot data,style=line,color= >>( )( )>> Daubechies 4 ExT1 ExT2 ExT1,ExT2dDiscreteWaveletTransformdata1.

3 K1, 2,Daubechies, 4 ExT1,ExT2:=1 .. 25 VectorcolumnData Type: float8 Storage: rectangularOrder: Fortran_order,1 .. 25 VectorcolumnData Type: float8 Storage: rectangularOrder: Fortran_order pointplot(Vector([seq(i, i = 1 .. 25)]), ExT1, style = line,color = blue)> pointplot(Vector([seq(i, i = 1 .. 25)]), ExT2, style = line,color = blue);>> IDWdatadInverseDiscreteWaveletTransformE xT1,ExT2,Daubechies, 4: pointplot(Vector([seq(i, i = 1 .. 50)]), IDWdata, style =line, color = green)> WaveletCoefficients WaveletPlot Daubechies 4 , Daubechies 12 , Daubechies 20 WaveletPlot(WaveletCoefficients(Daubechi es, 4))> (WaveletCoefficients(Daubechies, 12),minpoints = 500)> >>>>>>WaveletPlot(WaveletCoefficients(Da ubechies, 20),minpoints = 500) Maple ImageTools restartImageTools DiscreteTransforms with ImageTools:with DiscreteTransforms.

4 >>>>>>>>>>>>PreImgdRead cat kernelopts datadir, "/ ":ViewPreImg ExImgHi,ExImgLodDiscreteWaveletTransform PreImg, 1,Daubechies, 20: LL,HL,LH,LL ExImgHiHi,ExImgHiLo,ExImgLoHi,ExImgLoLod DiscreteWaveletTransformExImgHi, 2,Daubechies, 20,DiscreteWaveletTransformExImgLo, 2,Daubechies, 20: ShowdFitIntensity ExImgLoLoFitIntensity ExImgLoHi,FitIntensity ExImgHiLoFitIntensity ExImgHiHi:ViewCreate Show y x xy ( wavelet ) ( wavelet ) Maple Maple Maple ( wavelet ) Copyright (c) 2012, Cybernet Systems, Co.

5 , Ltd. All rights reserved.


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