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[ÇóÖú] fastICA¶Ô¸ß¹âÆ×Êý¾Ý½øÐÐÌØÕ÷¶Îѡȡ

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a287653371

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ÒÔÏÂÊÇÎÒµÄICA³ÌÐò
function Z=ICA(X)
%-----------È¥¾ùÖµ---------

[M,T] = size(X); %»ñÈ¡ÊäÈë¾ØÕóµÄÐÐ/ÁÐÊý  
%ÒòΪ¹âÆ×Êý¾ÝÒѾ­¹ýÖÐÐÄ»¯´¦Àí ËùÒÔÒ»ÏÂÊ¡ÂÔ
    %average= mean(X')';  %¾ùÖµ
    %  for i=1:M
        %  X(i,=X(i,-average(i)*ones(1,T);
    %  end
%---------°×»¯/Çò»¯·Ö½â------      %²Î¿¼ http://wenku.baidu.com/view/d21c175355270722192ef75b.html?re=view
Cx = cov(X',1);    %Cx = cov(X,1); or Cx = cov(X',1); ¼ÆËãЭ·½²î¾ØÕóCx
[eigvector,eigvalue] = eig(Cx); %¼ÆËãCxµÄÌØÕ÷ÖµºÍÌØÕ÷ÏòÁ¿
V=eigvalue^(-1/2)*eigvector';   %°×»¯¾ØÕó£¨PCA»ù£©   ÁíÍâÒ»ÖÖW=eigvector*eigvalue^(-1/2)*eigvector';
B=V*X;   %Õý½»¾ØÕó Z ԭʼÊý¾Ý°×»¯´¦ÀíºóµÄ½á¹û

%----------µü´ú-------     ²Î¿¼http://wenku.baidu.com/view/3c261a34f524ccbff12184d5.html?from=search
Maxcount=1000;        %×î´óµü´ú´ÎÊý
Critical=0.0001;   %ÖÕÖ¹×¼Ôò  ÅжÏÊÇ·ñÊÕÁ²
m=M;                %ÐèÒª¹À¼ÆµÄ·ÖÁ¿µÄ¸öÊý
W=rand(m);
for n=1:m  
    WP=W(:,n);  %³õʼȨʸÁ¿£¨ÈÎÒ⣩
%     Y=WP'*Z;
%     G=Y.^3;%GΪ·ÇÏßÐÔº¯Êý£¬¿ÉÈ¡y^3µÈ
%     GG=3*Y.^2;  %GµÄµ¼Êý
    count=0;
    LastWP=zeros(m,1);
    W(:,n)=W(:,n)/norm(W(:,n));  %µ¥Î»»¯ÁÐÏòÁ¿
    while abs(WP-LastWP)&abs(WP+LastWP)>Critical %Á½¸ö¾ø¶Ôֵͬʱ´óÓÚÊÕÁ²Ìõ¼þ
        count=count+1;   %µü´ú´ÎÊý
        LastWP=WP;      %Éϴεü´úµÄÖµ
       % WP=1/T*Z*((LastWP'*Z).^3)'-3*LastWP;
        for i=1:m   
WP(i)=mean(B(i,.*(tanh((LastWP)'*B)))-(mean(1-(tanh((LastWP))'*B).^2)).*LastWP(i);%tanhµÄµ¼ÊýÊÇsechx^2=1-tanhx^2
        end           %WPΪijһ´ÎÅ£¶Ùµü´úµÄ½á¹û
        WPP=zeros(m,1);
        for j=1:n-1
            WPP=WPP+(WP'*W(:,j))*W(:,j);
        end
        WP=WP-WPP;
        WP=WP/(norm(WP)); %¹éÒ»»¯
      
        if count==Maxcount
            fprintf('δÕÒµ½ÏàÓ¦µÄÐźÅ');
            return;
        end
    end
    W(:,n)=WP;   
end

%Ö®ºóÌí¼ÓµÄ
%ÕÒµ½×î¶ÀÁ¢µÄ·½Ïò
power=sum(abs(W)');
[m,in]=sort(power);
W1=W(in(220:228),;
2Â¥2016-12-17 12:43:36
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