2.11.2.7 mdwt(Pro)

1 Menu Information
2 Brief Information
3 Additional Information
4 Command Line Usage
5 X-Function Execution Options
6 Variables
7 Examples
8 More Information
9 Related X-Functions

Menu Information

Analysis: Signal Processing: Wavelet: Multi-Scale DWT

Brief Information

Perform multi-level wavelet decomposition

Additional Information

This feature is for OriginPro only.

Command Line Usage

1. mdwt ix:=2 level:=4;
2. mdwt ix:=2 type:=db2 level:=5;

X-Function Execution Options

Please refer to the page for additional option switches when accessing the x-function from script

Variables

Display Name	Variable Name	I/O and Type	Default Value	Description
Input	ix	Input vector	<active>	Specify the input signal
Wavelet Type	type	Input int	haar	Specify the wavelet type Option list haar:Haar Haar wavelet db 2:DB2 Daubechies wavelet (N=4 db 3:DB3 Daubechies wavelet (N=6) db 4:DB4 Daubechies wavelet (N=8) db 5:DB5 Daubechies wavelet (N=10) db 6:DB6 Daubechies wavelet (N=12) db 7:DB7 Daubechies wavelet (N=14) db 8:DB8 Daubechies wavelet (N=16) db 9:DB9 Daubechies wavelet (N=18) db 10:DB10 Daubechies wavelet (N=20) b11:Bior1.1 Biorthogonal (Nr=1, Nd=1) b13:Bior1.3 Biorthogonal (Nr=1, Nd=3) b15:Bior1.5 Biorthogonal (Nr=1, Nd=5) b22:Bior2.2 Biorthogonal (Nr=2, Nd=2) b24:Bior2.4 Biorthogonal (Nr=2, Nd=4) b26:Bior2.6 Biorthogonal (Nr=2, Nd=6) b28:Bior2.8 Biorthogonal (Nr=2, Nd=8) b31:Bior3.1 Biorthogonal (Nr=3, Nd=1) b33:Bior3.3 Biorthogonal (Nr=3 Nd=3) b35:Bior3.5 Biorthogonal (Nr=3, Nd=5) b37:Bior3.7 Biorthogonal (Nr=3, Nd=7)
Extension Mode	ext	Input int	periodic	Specify the end extension mode used in wavelet transform Option list periodic:Periodic The input signal will be viewed as periodic. pad0:Zero -padded The data points outside the input range will be viewed as zeroes.
Decomposition Level	level	Input int	1	Specify the number of levels for which detail coefficients are to be thresholded. A large level will cause more noise to be removed; but unfortunately the probability that the useful signal is distorted will be larger, compared with a small level.
Multiple Coeff Data	rd	Output ReportData	[<input>]<new>!	Specify the output worksheet for the approximation coefficients and detail coefficients of different levels.

Examples

To perform 4-level wavelet decomposition to data in columns 2 of the active worksheet, use the script command:

mdwt ix:=2 level:=4;

To specify wavelet type, use the type variable. For example, if you want to use Daubechies wavelet (N=2) to perform 5-level wavelet decomposition to data in column 2, enter the following script command:

mdwt ix:=2 type:=db2 level:=5;

Code Sample

// Wavelet decomposition and reconstruction with two different wavelet types
//Create a new workbook and import sample data
newbook  name:="Wavelet Demo" sheet:=1;
fname$=system.path.program$ + "Samples\Signal Processing\Step Signal With Random Noise.dat";
impasc;

//Multi-level wavelet decomposition using two wavelet types
mdwt ix:=col(2) type:=haar level:=3 rd:=[<input>]"Haar";
mdwt ix:=1!col(2) type:=db7 level:=3 rd:=[<input>]"DB7";
//Reconstruction
idwt ca:=2!1 cd:=2!2 type:=haar;
idwt ca:=2!5 cd:=2!3 type:=haar;
idwt ca:=2!6 cd:=2!4 type:=haar;
idwt ca:=3!1 cd:=3!2 type:=db2;
idwt ca:=3!5 cd:=3!3 type:=db2;
idwt ca:=3!6 cd:=3!4 type:=db2;

//Report
newsheet name:="report" labels:="|Haar|DB7";
wcolwidth irng:=1:3 width:="15";
wrowheight irng:=col(1)[1:5] height:=5;
wcellcolor irng:=col(1)[1:5] color:=color(249, 236, 151);
col(1)[1]$="CA3";
col(1)[2]$="CD3";
col(1)[3]$="CD2";
col(1)[4]$="CD1";
col(1)[5]$="Reconstructed";
//Insert sparklines for coefficients and reconstructed signals
insertSparklines irng:=(2!1:4, 2!7)  name:=0 orng:=col(2)[1];
insertSparklines irng:=(3!1:4, 3!7)  name:=0 orng:=col(3)[1];
window -z; //Maximize window