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qrabs

PURPOSE ^

QRABS absolute value and normalization of a real quaternions [m,q]=[q1]

SYNOPSIS ^

function [m,q]=qrabs(q1)

DESCRIPTION ^

QRABS absolute value and normalization of a real quaternions [m,q]=[q1]

 Inputs:   q1(4n,...)  A real quaternion array. Each quaternion is a column
                          vector of the form [r, i, j, k]'

 Outputs:  m(n,...)    Array of quaternion magnitudes: m=sqrt(q'*q)
           q(4n,...)   Normalized version of q1 with unit magnitude
                          a zero quaternion is normalized to [1 0 0 0]'

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 function [m,q]=qrabs(q1)
0002 %QRABS absolute value and normalization of a real quaternions [m,q]=[q1]
0003 %
0004 % Inputs:   q1(4n,...)  A real quaternion array. Each quaternion is a column
0005 %                          vector of the form [r, i, j, k]'
0006 %
0007 % Outputs:  m(n,...)    Array of quaternion magnitudes: m=sqrt(q'*q)
0008 %           q(4n,...)   Normalized version of q1 with unit magnitude
0009 %                          a zero quaternion is normalized to [1 0 0 0]'
0010 
0011 %      Copyright (C) Mike Brookes 2000-2012
0012 %      Version: $Id: qrabs.m 1645 2012-03-16 17:00:15Z dmb $
0013 %
0014 %   VOICEBOX is a MATLAB toolbox for speech processing.
0015 %   Home page: http://www.ee.ic.ac.uk/hp/staff/dmb/voicebox/voicebox.html
0016 %
0017 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0018 %   This program is free software; you can redistribute it and/or modify
0019 %   it under the terms of the GNU General Public License as published by
0020 %   the Free Software Foundation; either version 2 of the License, or
0021 %   (at your option) any later version.
0022 %
0023 %   This program is distributed in the hope that it will be useful,
0024 %   but WITHOUT ANY WARRANTY; without even the implied warranty of
0025 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
0026 %   GNU General Public License for more details.
0027 %
0028 %   You can obtain a copy of the GNU General Public License from
0029 %   http://www.gnu.org/copyleft/gpl.html or by writing to
0030 %   Free Software Foundation, Inc.,675 Mass Ave, Cambridge, MA 02139, USA.
0031 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0032 q1=randn(8,3);
0033 q1(9:12)=0;
0034 s=size(q1);
0035 q=reshape(q1,4,[]);
0036 m=sqrt(sum(q.^2,1));
0037 q(:,m>0)=q(:,m>0)./m(ones(4,1),m>0);
0038 q(1,m<=0)=1;
0039 q=reshape(q,s);
0040 s(1)=s(1)/4;
0041 m=reshape(m,s);

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