V_LPCFQ2ZZ Convert frequencies and q factors to z-plane poles ZZ=(F,Q) all input values are in normalized Hz roots are at exp(2*pi*f*(-1/(2q) +- j) if f has more columns than q, remaining columns are real roots at -f
0001 function zz=v_lpcfq2zz(f,q) 0002 %V_LPCFQ2ZZ Convert frequencies and q factors to z-plane poles ZZ=(F,Q) 0003 %all input values are in normalized Hz 0004 % roots are at exp(2*pi*f*(-1/(2q) +- j) 0005 % if f has more columns than q, remaining columns are real roots at -f 0006 0007 % Copyright (C) Mike Brookes 1998 0008 % Version: $Id: v_lpcfq2zz.m 10865 2018-09-21 17:22:45Z dmb $ 0009 % 0010 % VOICEBOX is a MATLAB toolbox for speech processing. 0011 % Home page: http://www.ee.ic.ac.uk/hp/staff/dmb/voicebox/voicebox.html 0012 % 0013 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0014 % This program is free software; you can redistribute it and/or modify 0015 % it under the terms of the GNU General Public License as published by 0016 % the Free Software Foundation; either version 2 of the License, or 0017 % (at your option) any later version. 0018 % 0019 % This program is distributed in the hope that it will be useful, 0020 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0021 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0022 % GNU General Public License for more details. 0023 % 0024 % You can obtain a copy of the GNU General Public License from 0025 % http://www.gnu.org/copyleft/gpl.html or by writing to 0026 % Free Software Foundation, Inc.,675 Mass Ave, Cambridge, MA 02139, USA. 0027 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0028 0029 [nf,pf]=size(f); 0030 if nargin < 2 0031 pq=0; 0032 else 0033 pq=size(q,2); 0034 end; 0035 zz=zeros(nf,pf+pq); 0036 if pq 0037 ii=1:pq; 0038 zz(:,2*ii-1)=exp(pi*f(:,ii).*(2i-q.^(-1))); 0039 zz(:,2*ii)=conj(zz(:,2*ii-1)); 0040 end 0041 if pf>pq 0042 ii=1+pq:pf; 0043 zz(:,ii+pq)= exp(-2*pi*f(:,ii)); 0044 end