📄 waterfilling.m
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% Copyright (c) 2003-2004 The University of Texas
% All Rights Reserved.
%
% 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.
%
% The GNU Public License is available in the file LICENSE, or you
% can write to the Free Software Foundation, Inc., 59 Temple Place -
% Suite 330, Boston, MA 02111-1307, USA, or you can find it on the
% World Wide Web at http://www.fsf.org.
%
% Programmers: Zukang Shen
%
% The authors are with the Department of Electrical and Computer
% Engineering, The University of Texas at Austin, Austin, TX.
% They can be reached at shen@ece.utexas.edu.
function capacity= waterfilling(Ptot,eigenVec)
eigenVec=eigenVec+1e-10;
eigenVec=eigenVec(:);
sortedEigVec=sort(eigenVec);
EigVecTemp=sortedEigVec;
while sum((EigVecTemp-EigVecTemp(1)*ones(length(EigVecTemp),1))./(EigVecTemp*EigVecTemp(1)))>Ptot
EigVecTemp=EigVecTemp(2:length(EigVecTemp));
end
P1=(Ptot-sum((EigVecTemp-EigVecTemp(1)*ones(length(EigVecTemp),1))./(EigVecTemp*EigVecTemp(1))))/length(EigVecTemp);
mu=P1+1/EigVecTemp(1);
capacity=sum(log2(mu*EigVecTemp));
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