rotlorentz.m

matlab中uwb波形优化算法经常会使用的工具包:SeDuMi_1_1R3.

% c = rotlorentz(c,K)
% Rotates vectors from Qcone to Rcone or from Rcone into Qcone.
%
% **********  INTERNAL FUNCTION OF SEDUMI **********
%
% See also sedumi

function c = rotlorentz(c,K)

%
% This file is part of SeDuMi 1.1 by Imre Polik and Oleksandr Romanko
% Copyright (C) 2005 McMaster University, Hamilton, CANADA  (since 1.1)
%
% Copyright (C) 2001 Jos F. Sturm (up to 1.05R5)
%   Dept. Econometrics & O.R., Tilburg University, the Netherlands.
%   Supported by the Netherlands Organization for Scientific Research (NWO).
%
% Affiliation SeDuMi 1.03 and 1.04Beta (2000):
%   Dept. Quantitative Economics, Maastricht University, the Netherlands.
%
% Affiliations up to SeDuMi 1.02 (AUG1998):
%   CRL, McMaster University, Canada.
%   Supported by the Netherlands Organization for Scientific Research (NWO).
%
% 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 should have received a copy of the GNU General Public License
% along with this program; if not, write to the Free Software
% Foundation, Inc.,  51 Franklin Street, Fifth Floor, Boston, MA
% 02110-1301, USA
%

firstk = K.l + sum(K.q) + 1;
M = [1 1; 1 -1];
for k = 1:length(K.r)
    c(firstk:firstk+1,:) = M*c(firstk:firstk+1,:)/ sqrt(2);
    firstk = firstk + K.r(k);
end