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# rotqr2qc

## PURPOSE

ROTQR2QC converts a matrix of real quaternion vectors into complex form

## SYNOPSIS

function qc=rotqr2qc(qr)

## DESCRIPTION

```ROTQR2QC converts a matrix of real quaternion vectors into complex form

Inputs:

QR(4m,...)   array of real-valued quaternions

Outputs:

QC(2m,...)   array of complex-valued quaternions

The real-valued quaternion [r a b c]' becomes [r+j*b  a+j*c]'```

## CROSS-REFERENCE INFORMATION

This function calls:
This function is called by:

## SOURCE CODE

```0001 function qc=rotqr2qc(qr)
0002 %ROTQR2QC converts a matrix of real quaternion vectors into complex form
0003 %
0004 % Inputs:
0005 %
0006 %     QR(4m,...)   array of real-valued quaternions
0007 %
0008 % Outputs:
0009 %
0010 %     QC(2m,...)   array of complex-valued quaternions
0011 %
0012 % The real-valued quaternion [r a b c]' becomes [r+j*b  a+j*c]'
0013
0014 %
0015 %      Copyright (C) Mike Brookes 2000-2012
0016 %      Version: \$Id: rotqr2qc.m 1616 2012-03-15 09:13:31Z dmb \$
0017 %
0018 %   VOICEBOX is a MATLAB toolbox for speech processing.
0020 %
0021 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0022 %   This program is free software; you can redistribute it and/or modify
0023 %   it under the terms of the GNU General Public License as published by
0024 %   the Free Software Foundation; either version 2 of the License, or
0025 %   (at your option) any later version.
0026 %
0027 %   This program is distributed in the hope that it will be useful,
0028 %   but WITHOUT ANY WARRANTY; without even the implied warranty of
0029 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
0030 %   GNU General Public License for more details.
0031 %
0032 %   You can obtain a copy of the GNU General Public License from
0033 %   http://www.gnu.org/copyleft/gpl.html or by writing to
0034 %   Free Software Foundation, Inc.,675 Mass Ave, Cambridge, MA 02139, USA.
0035 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0036 persistent a b
0037 if isempty(a)
0038     a=[1 3 2 4];
0039     b=[1 1i];
0040 end
0041 s=size(qr);
0042 qq=reshape(qr,4,[]);
0043 s(1)=s(1)/2;
0044 qc=reshape(b*reshape(qq(a,:),2,[]),s);```

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