📄 kmeanlbg.m
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function [x,esq,j] = kmeanlbg(d,k)
%KMEANLBG Vector quantisation using the Linde-Buzo-Gray algorithm [X,ESQ,J]=(D,K)
%
%Inputs:
% D contains data vectors (one per row)
% K is number of centres required
%
%Outputs:
% X is output row vectors (K rows)
% ESQ is mean square error
% J indicates which centre each data vector belongs to
%
% Implements LBG K-means algorithm:
% Linde, Y., A. Buzo, and R. M. Gray,
% "An Algorithm for vector quantiser design,"
% IEEE Trans Communications, vol. 28, pp.84-95, Jan 1980.
% Copyright (C) Mike Brookes 1998
%
% Last modified Fri Apr 3 14:57:14 1998
%
% VOICEBOX home page: http://www.ee.ic.ac.uk/hp/staff/dmb/voicebox/voicebox.html
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either version 2 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You can obtain a copy of the GNU General Public License from
% ftp://prep.ai.mit.edu/pub/gnu/COPYING-2.0 or by writing to
% Free Software Foundation, Inc.,675 Mass Ave, Cambridge, MA 02139, USA.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
nc=size(d,2);
[x,esq,j]=kmeans(d,1);
m=1;
while m<k
n=min(m,k-m);
m=m+n;
e=1e-4*sqrt(esq)*rand(1,nc);
[x,esq,j]=kmeans(d,m,[x(1:n,:)+e(ones(n,1),:); x(1:n,:)-e(ones(n,1),:); x(n+1:m-n,:)]);
end
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