📄 cep2pow.m
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function [m,c]=cep2pow(u,v,mode)
%CEP2POW convert cepstral means and variances to the power domain
% Inputs:
% u: vector giving the cepstral means with u(1) the 0'th cepstral coefficient
% v: cepstral covariance matrix or else a vector containing the diagonal elements
% mode: 'c' pow=exp(irdct(cep)) [default]
% 'f' pow=exp(rsfft(cep)/n) [fft length even]
% 'fo' pow=exp(rsfft(cep)/n) [fft length odd]
% 'i' pow=exp(cep) [ no transformation ]
%
% Outputs:
% m: row vector giving means in the power domain
% c: covariance matrix in the power domain
% Copyright (C) Mike Brookes 1998
%
% Last modified Wed Jul 21 07:57:48 2004
%
% VOICEBOX is a MATLAB toolbox for speech processing. Home page is at
% 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.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
if nargin<3 mode='c'; end
if min(size(v))==1
v=diag(v);
end
u=u(:)'; % force u to be a row vector
if any(mode=='f')
n=2*length(u)-2;
if any(mode=='o')
n=n+1;
end
p=rsfft(u',n)/n;
q=rsfft(rsfft(v,n)',n)/n^2;
elseif any(mode=='i')
p=u';
q=v';
else
p=irdct(u');
q=irdct(irdct(v)');
end
m=exp(p+0.5*diag(q))';
c=(m'*m).*(exp(q)-1);
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