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# kmeanlbg

## PURPOSE

KMEANLBG Vector quantisation using the Linde-Buzo-Gray algorithm [X,ESQ,J]=(D,K)

## SYNOPSIS

function [x,esq,j] = kmeanlbg(d,k)

## DESCRIPTION

```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.```

## CROSS-REFERENCE INFORMATION

This function calls:
• v_kmeans V_KMEANS Vector quantisation using K-means algorithm [X,ESQ,J]=(D,K,X0,L)
This function is called by:

## SOURCE CODE

```0001 function [x,esq,j] = kmeanlbg(d,k)
0002 %KMEANLBG Vector quantisation using the Linde-Buzo-Gray algorithm [X,ESQ,J]=(D,K)
0003 %
0004 %Inputs:
0005 % D contains data vectors (one per row)
0006 % K is number of centres required
0007 %
0008 %Outputs:
0009 % X is output row vectors (K rows)
0010 % ESQ is mean square error
0011 % J indicates which centre each data vector belongs to
0012 %
0013 %  Implements LBG K-means algorithm:
0014 % Linde, Y., A. Buzo, and R. M. Gray,
0015 % "An Algorithm for vector quantiser design,"
0016 % IEEE Trans Communications, vol. 28, pp.84-95, Jan 1980.
0017
0018
0019 %      Copyright (C) Mike Brookes 1998
0020 %      Version: \$Id: kmeanlbg.m 4497 2014-04-23 10:28:55Z dmb \$
0021 %
0022 %   VOICEBOX is a MATLAB toolbox for speech processing.
0024 %
0025 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0026 %   This program is free software; you can redistribute it and/or modify
0028 %   the Free Software Foundation; either version 2 of the License, or
0029 %   (at your option) any later version.
0030 %
0031 %   This program is distributed in the hope that it will be useful,
0032 %   but WITHOUT ANY WARRANTY; without even the implied warranty of
0033 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
0034 %   GNU General Public License for more details.
0035 %
0036 %   You can obtain a copy of the GNU General Public License from
0037 %   http://www.gnu.org/copyleft/gpl.html or by writing to
0038 %   Free Software Foundation, Inc.,675 Mass Ave, Cambridge, MA 02139, USA.
0039 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0040
0041 nc=size(d,2);
0042 [x,esq,j]=v_kmeans(d,1);
0043 m=1;
0044 while m<k
0045    n=min(m,k-m);
0046    m=m+n;
0047    e=1e-4*sqrt(esq)*rand(1,nc);
0048    [x,esq,j]=v_kmeans(d,m,[x(1:n,:)+e(ones(n,1),:); x(1:n,:)-e(ones(n,1),:); x(n+1:m-n,:)]);
0049 end```

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