function [rr,ar]=lpcrf2rr(rf,p);
%LPCRR2AR convert reflection coefs to autocorrelation coefs [RR,AR]=(RF,P)
%
% Inputs:  rf(:,n+1)  reflection coefficients: one row per frame
%          p          specifies number of rr coefficients to calculate (default=n)
% Outputs: rr(:,p+1)  autocorrelation coefficients
%          ar(:,n+1)  AR filter coefficients

%      Copyright (C) Mike Brookes 1997
%
%      Last modified Fri May 22 07:57:50 1998
%
%   VOICEBOX home page: http://www.ee.ic.ac.uk/hp/staff/dmb/voicebox/voicebox.html
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%   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 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.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

[nf,p1]=size(rf);
p0=p1-1;
a = rf(:,2);
rr=[ones(nf,1) -a zeros(nf,p0-1)];
e = (a.^2-1);
for n = 2:p0
   k=rf(:,n+1);
   rr(:,n+1) =k.*e - sum(rr(:,n:-1:2).*a,2);
   a = [a+k(:,ones(1,n-1)).*a(:,n-1:-1:1) k];
   e = e.*(1-k.^2);
end
ar = [ones(nf,1) a];
r0=sum(rr.*ar,2).^(-1);
rr=rr.*r0(:,ones(1,p1));
if nargin>1
   if p<p0
      rr(:,p+2:p1)=[];
   else
      rr=[rr zeros(nf,p-p0)];
      af=-ar(:,p1:-1:2);
      for i=p0+1:p
         rr(:,i+1)=sum(af.*rr(:,i-p0+1:i),2);
      end
   end
end