function aa=lpcrf2aa(rf)
%LPCRF2AA Convert reflection coefficients to area function AA=(RF)
%The areas are normalised so that aa(p+2)=1: the effective area of the free air beyond the lips.
% aa(1) is the area of the glottis. This will be zero if rf(:,1)=1.


%      Copyright (C) Mike Brookes 1997
%
%      Last modified Tue May 12 16:19:43 1998
%
%   VOICEBOX home page: http://www.ee.ic.ac.uk/hp/staff/dmb/voicebox/voicebox.html
%
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%   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.
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%   You can obtain a copy of the GNU General Public License from
%   ftp://prep.ai.mit.edu/pub/gnu/COPYING-2.0 or by writing to
%   Free Software Foundation, Inc.,675 Mass Ave, Cambridge, MA 02139, USA.
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aa = fliplr(cumprod([ones(1,size(rf,1)); fliplr((1-rf)./(1+rf)).']).');