V_LPCSS2ZZ Convert s-place poles to z-plane poles ZZ=(SS) the s-plane is in units of Normalized Hz and so the imaginary part of each ss() value is in the range +-0.5 If you multiply ss by the sample frequency, a formant with frequency f and bandwidth b will give an s-plane pole-pair of approximately -b/2 +- j f
0001 function zz=v_lpcss2zz(ss) 0002 %V_LPCSS2ZZ Convert s-place poles to z-plane poles ZZ=(SS) 0003 %the s-plane is in units of Normalized Hz and so the imaginary part 0004 % of each ss() value is in the range +-0.5 0005 % 0006 % If you multiply ss by the sample frequency, a formant with 0007 % frequency f and bandwidth b will give an s-plane pole-pair 0008 % of approximately -b/2 +- j f 0009 0010 % Copyright (C) Mike Brookes 1997 0011 % Version: $Id: v_lpcss2zz.m 10865 2018-09-21 17:22:45Z dmb $ 0012 % 0013 % VOICEBOX is a MATLAB toolbox for speech processing. 0014 % Home page: http://www.ee.ic.ac.uk/hp/staff/dmb/voicebox/voicebox.html 0015 % 0016 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0017 % This program is free software; you can redistribute it and/or modify 0018 % it under the terms of the GNU General Public License as published by 0019 % the Free Software Foundation; either version 2 of the License, or 0020 % (at your option) any later version. 0021 % 0022 % This program is distributed in the hope that it will be useful, 0023 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0024 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0025 % GNU General Public License for more details. 0026 % 0027 % You can obtain a copy of the GNU General Public License from 0028 % http://www.gnu.org/copyleft/gpl.html or by writing to 0029 % Free Software Foundation, Inc.,675 Mass Ave, Cambridge, MA 02139, USA. 0030 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0031 0032 zz=exp(2*pi*ss);