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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
http://bugs.debian.org/255869
changed configure.in to build scilab's own malloc.o, closes: #255869

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man/eng/control/freq.xml
 
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<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
 
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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
 
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<MAN>
 
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  <LANGUAGE>eng</LANGUAGE>
 
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  <TITLE>FREQ</TITLE>
 
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  <TYPE>Scilab Function</TYPE>
 
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  <DATE>April 1993</DATE>
 
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  <SHORT_DESCRIPTION name="freq"> frequency response</SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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    <CALLING_SEQUENCE_ITEM>[x]=freq(A,B,C [,D],f)  </CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>[x]=freq(NUM,DEN,f)  </CALLING_SEQUENCE_ITEM>
 
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  </CALLING_SEQUENCE>
 
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  <PARAM>
 
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    <PARAM_INDENT>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>A, B, C, D</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>:  real matrices of respective dimensions <VERB>nxn, nxp, mxn, mxp</VERB>.</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>NUM,DEN</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: polynomial matrices of dimension <VERB>mxp</VERB></SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>x</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: real or complex matrix</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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    </PARAM_INDENT>
 
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  </PARAM>
 
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  <DESCRIPTION>
 
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    <P><VERB>x=freq(A,B,C [,D],f)</VERB> returns a real or complex <VERB>mxp*t</VERB> matrix
 
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    such that:</P>
 
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    <P><VERB>x(:,k*p:(k+1)*p)= C*inv(f(k)*eye()-A)*B + D</VERB>.</P>
 
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    <P>
 
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    Thus, for <VERB>f</VERB> taking values along the imaginary axis or
 
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    on the unit circle <VERB>x</VERB> is the continuous or discrete time 
 
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    frequency response of <VERB>(A,B,C,D)</VERB>.</P>
 
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    <P><VERB>x=freq(NUM,DEN,f)</VERB> returns a real or complex matrix <VERB>x</VERB> such
 
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    that columns <VERB>k*(p-1)+1</VERB> to <VERB>k*p</VERB> of <VERB>x</VERB> contain the matrix  
 
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    <VERB>NUM(f(k))./DEN(f(k))</VERB></P>
 
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  </DESCRIPTION>
 
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  <EXAMPLE>
 
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<![CDATA[
 
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s=poly(0,'s');
 
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sys=(s+1)/(s^3-5*s+4)
 
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rep=freq(sys("num"),sys("den"),[0,0.9,1.1,2,3,10,20])
 
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[horner(sys,0),horner(sys,20)]
 
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//
 
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Sys=tf2ss(sys);
 
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[A,B,C,D]=abcd(Sys);
 
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freq(A,B,C,[0,0.9,1.1,2,3,10,20])
 
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 ]]>
 
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  </EXAMPLE>
 
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  <SEE_ALSO>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>repfreq</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>horner</LINK>
 
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    </SEE_ALSO_ITEM>
 
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  </SEE_ALSO>
 
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</MAN>