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<?xml version="1.0" encoding="UTF-8"?>
<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) INRIA -
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
*
-->
<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:lang="en" xml:id="phasemag">
<refnamediv>
<refname>phasemag</refname>
<refpurpose>phase and magnitude
computation
</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[phi,db]=phasemag(z [,mod])</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>z</term>
<listitem>
<para>matrix or row vector of complex numbers.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>mod</term>
<listitem>
<para>character string</para>
<variablelist>
<varlistentry>
<term>mod='c'</term>
<listitem>
<para>"continuous" representation between -infinity and +360
degrees (default)
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>mod='m'</term>
<listitem>
<para>representation between -360 and 0 degrees</para>
</listitem>
</varlistentry>
</variablelist>
</listitem>
</varlistentry>
<varlistentry>
<term>phi</term>
<listitem>
<para>
phases (in degree) of <literal>z</literal>.
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>db</term>
<listitem>
<para>magnitude (in Db)</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
<literal>phasemag</literal> computes the phases and magnitudes of the entries
of a complex matrix. For <literal>mod='c'</literal><literal>phasemag</literal>
computes <literal>phi(:,i+1)</literal> to minimize the distance with
<literal>phi(:,i)</literal>, i.e. it tries to obtain a "continuous
representation" of the phase.
</para>
<para>To obtain the phase between -%pi and %pi use
<literal>phi=atan(imag(z),real(z))</literal>
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
s=poly(0,'s');
h=syslin('c',1/((s+5)*(s+10)*(100+6*s+s*s)*(s+.3)));
[frq,rf]=repfreq(h,0.1,20,0.005);
scf();
plot2d(frq',phasemag(rf,'c')');
scf();
plot2d(frq',phasemag(rf,'m')');
]]></programlisting>
<scilab:image>
s=poly(0,'s');
h=syslin('c',1/((s+5)*(s+10)*(100+6*s+s*s)*(s+.3)));
[frq,rf]=repfreq(h,0.1,20,0.005);
plot2d(frq',phasemag(rf,'c')');
</scilab:image>
<scilab:image>
s=poly(0,'s');
h=syslin('c',1/((s+5)*(s+10)*(100+6*s+s*s)*(s+.3)));
[frq,rf]=repfreq(h,0.1,20,0.005);
plot2d(frq',phasemag(rf,'m')');
</scilab:image>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="repfreq">repfreq</link>
</member>
<member>
<link linkend="gainplot">gainplot</link>
</member>
<member>
<link linkend="atan">atan</link>
</member>
<member>
<link linkend="bode">bode</link>
</member>
</simplelist>
</refsection>
</refentry>
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