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bode_bnd.m
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1999-12-24
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## Copyright (C) 1996 Auburn University. All Rights Reserved
##
## 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, 59 Temple Place, Suite 330, Boston, MA 02111 USA.
## -*- texinfo -*-
## @deftypefn {Function File } {[@var{wmin}, @var{wmax}] =} bode_bnd (@var{zer}, @var{pol}, @var{dflg}@{, @var{tsam} @})
## Get default range of frequencies based on cutoff frequencies of system
## poles and zeros.
## Frequency range is the interval [10^wmin,10^wmax]
##
## Used internally in freqresp (@code{bode}, @code{nyquist})
## @end deftypefn
function [wmin, wmax] = bode_bnd (zer, pol, DIGITAL, tsam)
## 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