ROTQC2MC converts a matrix of complex quaternion vectors to quaternion matrices Inputs: QC(2m,n,...) array of complex quaternion vectors (each 2x1) Outputs: MC(2m,2n,...) array of complex quaternion matrices (each 2x2) Each quarternion, r+ai+bj+ck is a 2x1 complex vector in the input array of the form [ r+bi ; a+ci ]. In the output array, this becomes a 2x2 complex matrix of the form [ r+bi -a+ci ; a+ci r-bi ]. In matrix form, quaternions can be multiplied and added using normal matrix arithmetic. The complex matrix form has 4 complex elements while the real matrix form has 16 real elements.

0001 function mc=rotqc2mc(qc) 0002 %ROTQC2MC converts a matrix of complex quaternion vectors to quaternion matrices 0003 % Inputs: 0004 % 0005 % QC(2m,n,...) array of complex quaternion vectors (each 2x1) 0006 % 0007 % Outputs: 0008 % 0009 % MC(2m,2n,...) array of complex quaternion matrices (each 2x2) 0010 % 0011 % Each quarternion, r+ai+bj+ck is a 2x1 complex vector in the input array of the 0012 % form [ r+bi ; a+ci ]. In the output array, this becomes a 2x2 complex matrix 0013 % of the form [ r+bi -a+ci ; a+ci r-bi ]. 0014 % 0015 % In matrix form, quaternions can be multiplied and added using normal matrix 0016 % arithmetic. The complex matrix form has 4 complex elements while the real 0017 % matrix form has 16 real elements. 0018 0019 % 0020 % Copyright (C) Mike Brookes 2000-2012 0021 % Version: $Id: rotqc2mc.m 1616 2012-03-15 09:13:31Z dmb $ 0022 % 0023 % VOICEBOX is a MATLAB toolbox for speech processing. 0024 % Home page: http://www.ee.ic.ac.uk/hp/staff/dmb/voicebox/voicebox.html 0025 % 0026 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0027 % This program is free software; you can redistribute it and/or modify 0028 % it under the terms of the GNU General Public License as published by 0029 % the Free Software Foundation; either version 2 of the License, or 0030 % (at your option) any later version. 0031 % 0032 % This program is distributed in the hope that it will be useful, 0033 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0034 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0035 % GNU General Public License for more details. 0036 % 0037 % You can obtain a copy of the GNU General Public License from 0038 % http://www.gnu.org/copyleft/gpl.html or by writing to 0039 % Free Software Foundation, Inc.,675 Mass Ave, Cambridge, MA 02139, USA. 0040 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0041 s=size(qc); 0042 m=s(1); 0043 qa=reshape(qc,m,[]); 0044 n=2*size(qa,2); 0045 mc=zeros(m,n); 0046 ix=1:2:m; 0047 jx=2:2:n; 0048 mc(:,jx-1)=qa; 0049 mc(ix,jx)=-conj(qa(ix+1,:)); 0050 mc(ix+1,jx)=conj(qa(ix,:)); 0051 s(2)=2*s(2); 0052 mc=reshape(mc,s);

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