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bode_bnd.m
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1999-04-29
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# Copyright (C) 1996 A. Scottedward Hodel
#
# This file is part of Octave.
#
# Octave 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, or (at your option) any
# later version.
#
# Octave 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 should have received a copy of the GNU General Public License
# along with Octave; see the file COPYING. If not, write to the Free
# Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
function [wmin,wmax] = bode_bnd(zer,pol,DIGITAL,tsam)
# function [wmin,wmax] = bode_bnd(zer,pol,DIGITAL{,tsam})
# get default range of frequencies for system zeros and poles
#
# frequency range is the interval [10^wmin,10^wmax]
#
# used internally in freqresp
# make sure zer,pol are row vectors
if(!isempty(pol)) pol = reshape(pol,1,length(pol)); endif
if(!isempty(zer)) zer = reshape(zer,1,length(zer)); endif
# check for natural frequencies away from omega = 0
if (DIGITAL)
# The 2nd conditions prevents log(0) in the next log command
iiz = find(abs(zer - 1) > norm(zer) * eps && abs(zer) > norm(zer) * eps);
iip = find(abs(pol - 1) > norm(pol) * eps && abs(pol) > norm(pol) * eps);
# avoid dividing empty matrices, it would work but looks nasty
if (!isempty(iiz)) czer = log(zer(iiz))/tsam;
else czer = []; endif
if (!isempty(iip)) cpol = log(pol(iip))/tsam;
else cpol = []; endif
else
# continuous
iip = find((abs(pol)) > (norm(pol) * eps));
iiz = find((abs(zer)) > (norm(zer) * eps));
if(!isempty(zer)) czer = zer(iiz);
else czer = []; endif
if(!isempty(pol)) cpol = pol(iip);
else cpol = []; endif
endif
if(max(size(iip)) + max(size(iiz)) )
wmin = floor(log10(min(abs([cpol,czer]))));
wmax = ceil(log10(max(abs([cpol,czer]))));
else
# no poles/zeros away from omega = 0; pick defaults
wmin = -1;
wmax = 3;
endif
# expand to show the entirety of the "interesting" portion of the plot
wmin--;
wmax++;
# run digital frequency all the way to pi
if (DIGITAL) wmax = log10(pi/tsam); endif
endfunction