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导读EMD工具箱,在MATLAB中实现EMD的各种功能所必须的工具箱。运行install_emd.m文件可以实现此工具箱的安装,uninstall_emd.m实现卸载。1、首先...

EMD工具箱,在MATLAB中实现EMD的各种功能所必须的工具箱。

运行install_emd.m文件可以实现此工具箱的安装,uninstall_emd.m实现卸载。

1、首先下载emd工具箱,50楼网址里面可以下。下载后解压放在matlab的work工作路径下package_emd文件夹。

2、打开matlab,选择File- Set Path- Add with Subfolders-你刚才下载的工具箱(package_emd)点进去- Save- Close。

3、此时选择work下package_emd文件夹作为工作路径,即是C:\Program Files\MATLAB\R2010a\toolbox\package_emd。

4、在Command Window里面输入mex -setup回车,问是否选择已有的编译器你选y回车,再问选择哪个编译器,你可以选择C++的那个选择相应的编号(如 2)回车,然后让你核对是否选择对了编译器等等,你输入y回车。就安装成功了

>> mex -setup

Please choose your compiler for building external interface (MEX) files: 

Would you like mex to locate installed compilers [y]/n? y

Select a compiler: 

[1] Lcc-win32 C 2.4.1 in C:\PROGRA~1\MATLAB\R2010a\sys\lcc 

[2] Microsoft Visual C++ 6.0 in C:\Program Files\Microsoft Visual Studio 

[0] None 

Compiler: 2

Please verify your choices: 

Compiler: Microsoft Visual C++ 6.0 

Location: C:\Program Files\Microsoft Visual Studio 

Are these correct [y]/n? y

Trying to update options file: C:\Users\Administrator\AppData\Roaming\MathWorks\MATLAB\R2010a\mexopts.bat 

From template: C:\PROGRA~1\MATLAB\R2010a\bin\win32\mexopts\msvc60opts.bat 

Done . . . 

************************************************************************** 

  Warning: The MATLAB C and Fortran API has changed to support MATLAB 

           variables with more than 2^32-1 elements. In the near future 

           you will be required to update your code to utilize the new 

           API. You can find more information about this at: 

           http://www.mathworks.com/support/solutions/en/data/1-5C27B9/?solution=1-5C27B9 

           Building with the -largeArrayDims option enables the new API. 

************************************************************************** 

MATLAB的emd的工具箱  可是不知道怎么用  也不知道怎么用它来处理txt中的数据

    但是安装的时候,如果使用的是VS的编译器(mbuild –setup、mex –setup设置),会报找不到complex.h的问题(用Linux下的Matlab不会出错),从而使cemdc2_fix.c等文件编译失败,这几个文件是为了快速实现计算EMD而用c编写的,所以即使编译失败,也不影响直接使用emd.m实现EMD功能。如果想编译成功,可如下修改:(摘自http://www.chinavib.com/thread-79866-1-1.html)

    G. Rilling 07年3月份的程序,运行作者的install_emd.m,出现找不到complex.h的问题,以下是个人的理解和解决过程:(个人的运行环境为matlab6.5)

complex.h的问题

    产生原因:采用matlab的C编译函数mex时,定义了C99_OK的宏(EMDS/make_emdc.m (28行)),利用的是ANSI C99标准如果个人的电脑中没有相关的支持,就会出现这个问题。

解决方法:EMDS/make_emdc.m中第28行中mex(’-DC99_OK‘,args(:))语句中的 '-DC99_OK' 即可。

    注意:

    改完之后,运行install_emd,会出现M_PI没有定义的问题,缺少了常数PI的宏定义,导致一些.c文件编译失败。

    产生原因:去掉C99_OK之后,程序中使用的是作者提供的 emd_complex.h和emd_complex.c两个文件来支持复数运算,这两个文件中,并没有定义M_PI这个宏。

    解决方法:M_PI这个宏,只在两个文件中(clocal_mean.c和clocal_mean2.c)使用,个人的解决方法是,在相应的头文件(clocal_mean.h和clocal_mean2.h)中加入M_PI的宏定义即可。

    在两个.h文件中分别加入一下语句:

#define CLOCAL_MEAN_H

#ifndef M_PI

#define M_PI 3.1415926

#endif

    安装完成后,编译输出的.dll文件会出现,重复后缀名的问题,及 xxx.dll 变成了 xxx.dll.dll自己去掉多余的.dll即可

    最后,关于版本问题:作者推荐使用7.1+版本,但只是针对个别的函数有影响,主要是作者提供的例子程序,无法在matlab6.5环境中运行,算法的主要功能函数并不受影响。

工具箱函数

   运行help index_emd可以查看工具箱提供的函数,如下

index_emd.M list of functions in the EMD package  type help function_name for more information ona specific function  Empirical Mode Decomposition    emd         - computes EMD and bivariate/complex EMD with various options   emd_local   -computes local EMD variation   emd_online  - computes on-lineEMD variation. Note that it does not truly                  apply on-line: the function is only a demonstration.   emdc        - fast implementation for EMD with Cauchy-like stoppingcriterion                  (requires compilation, see make_emdc function)   emdc_fix    - fast implementation for EMD with predefined number ofiterations                  (requires compilation, see make_emdc function)   cemdc       - fast implementation for bivariate/complex EMD (firstalgorithm)                  with Cauchy-like stopping criterion (requires compilation,                  see make_emdc function)   cemdc_fix   -fast implementation for bivariate/complex EMD (firstalgorithm)                  with predefined number of iterations (requires compilation,                  see make_emdc function)   cemdc2      - fast implementation for bivariate/complex EMD (secondalgorithm)                  with Cauchy-like stopping criterion (requires compilation,                  see make_emdc function)   cemdc2_fix  - fastimplementation for bivariate/complex EMD (second algorithm)                  with predefined number of iterations (requires compilation,                  see make_emdc function)  Utilities    install_emd  - setup Matlab'spath and compile the C codes.   uninstall_emd - revert the modifications made by install_emd andremove the                   files (optional).   make_emdc    - compile all C codes   emd_visu     - visualization of EMD   cemd_visu    - visualization of bivariate/complex EMD (automaticallycalled                   by emd_visu when the input is complex)   cenvelope    - compute envelope curves for bivariate/complex EMD   cemd_disp    - visualization of envelope curves and tube envelope   plot3c       - plot a complex vector in 3 dimensions   plotc        - plot the projection of a complex vector on a variabledirection   dirstretch   -directional stretching of a complex vector   hhspectrum   -compute Hilbert-Huang spectrum (need the Time-FrequencyToolbox                   http://tftb.nongnu.org)   toimage      - transform a spectrum made of 1D functions (e.g., output of                   hhspectrum) in an 2D image   disp_hhs     - display the image output of toimage as a Hilbert-Huangspectrum   addtag       - add a tag to a graphic object (uses the Tag property as alist                   of keywords or tags)   rmtag        - remove a tag from a graphic object (uses the Tag propertyas                   a list of keywords or tags)   hastag       - test whether a graphic object has a specific tag (uses theTag                   property as a list of keywords or tags)   findtag      - find objects having a specific tag (uses the Tag propertyas                   a list of keywords or tags)    Examples from G. Rilling, P. Flandrin and P.Gon鏰lves,   OnEmpirical Mode Decomposition and its algorithms   IEEE-EURASIPWorkshop on Nonlinear Signal and Image Processing   NSIP-03,Grado (I), June 2003      emd_fmsin        - Fig. 1: a 3-component example (need the Time-Frequency                       Toolbox http://tftb.nongnu.org)   emd_triang       - Fig. 2: another 3-component example   emd_sampling     - Fig. 3: effect of sampling on 1 tone   emd_separation   - Fig. 4: separation of 2 tones   ex_online        - Sect 3.4: the way emd_online.m works   triangular_signal - subroutine called by emd_triang (formerlytriang.m)    Examples from G. Rilling, P. Flandrin, P.Gon鏰lves and J. M. Lilly,   BivariateEmpirical Mode Decomposition,   SignalProcessing Letters (submitted)    bivariate_EMD_principle       - Fig. 1: principle of the bivariate/complex EMD   bivariate_EMD_mean_definitions - Fig. 2: definition of the mean foreach algorithm.                                    Also allows to test other signals and parameter sets.   bivariate_EMD_illustration    - Fig. 3: illustration of the bivariate EMD                                    on an oceanographic float position record

   稍做整理如下:

来自《On Empirical Mode Decomposition and itsalgorithms》的Examples

来自《Bivariate Empirical Mode Decomposition》的Examples

EMD

clc

clear all

close all

% 原始数据

fs = 1000;

ts = 1/fs;

t=0:ts:0.3;

z=2*sin(2*pi*10*t) + 5.*sin(2*pi*100*t);

figure

plot(t, z)

title('原始信号')

% EMD

imf=emd(z);

emd_visu(z,t,imf)

[A,f,tt]=hhspectrum(imf);

[im,tt]=toimage(A,f);

disp_hhs(im);

边际谱

clc

clear all

close all

% 原始数据

fs = 1000;

ts = 1/fs;

t=0:ts:0.3;

y=2*sin(2*pi*10*t);% + 5.*sin(2*pi*100*t);

figure

plot(t, y)

title('原始信号')

% 求Hilbert-Huang谱

[A,fh,th] = hhspectrum(y);

figure

subplot(211)

plot(th*ts, A)

title('瞬时幅值') % 就是包络

subplot(212)

plot(th*ts, fh*fs)

title('瞬时频率')

% 显示结果

[im,tt,ff] = toimage(A,fh,th);

disp_hhs(im,tt)

colormap(flipud(gray))

% 编程实现显示

figure

imagesc(tt*ts,[0,0.5*fs],im);

ylabel('frequency/Hz')

set(gca,'YDir','normal')

xlabel('time/s')

title('Hilbert-Huang spectrum')

更详细的使用说明可以参见例子程序,如emd_fmsin.m程序,运行结果如下

EMD分解如下

可以看到,EMD实现的3个组分的分离(即分别分解到了IMF1~3中),可见EMD的强大功能。

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