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# lpcfq2zz

## PURPOSE

LPCFQ2ZZ Convert frequencies and q factors to z-plane poles ZZ=(F,Q)

## SYNOPSIS

function zz=lpcfq2zz(f,q)

## DESCRIPTION

```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```

## CROSS-REFERENCE INFORMATION

This function calls:
This function is called by:

## SOURCE CODE

```0001 function zz=lpcfq2zz(f,q)
0002 %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: lpcfq2zz.m 713 2011-10-16 14:45:43Z dmb \$
0009 %
0010 %   VOICEBOX is a MATLAB toolbox for speech processing.
0012 %
0013 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
0014 %   This program is free software; you can redistribute it and/or modify
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```

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