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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/control/freq.man
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.TH FREQ G "April 1993" "Scilab Group" "Scilab Function"
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.so ../sci.an 
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.SH NAME
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freq - frequency response
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.SH CALLING SEQUENCE
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.nf
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[x]=freq(A,B,C [,D],f)
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[x]=freq(NUM,DEN,f)
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.fi
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.SH PARAMETERS
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.TP 15
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A, B, C, D 
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:  real matrices of respective dimensions \fVnxn, nxp, mxn, mxp\fR.
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.TP
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NUM,DEN
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: polynomial matrices of dimension \fVmxp\fR
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.TP
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x
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: real or complex matrix
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.SH DESCRIPTION
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\fVx=freq(A,B,C [,D],f)\fR returns a real or complex \fVmxp*t\fR matrix
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such that:
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.LP
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\fVx(:,k*p:(k+1)*p)= C*inv(f(k)*eye()-A)*B + D\fR.
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.LP
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Thus, for \fVf\fR taking values along the imaginary axis or
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on the unit circle \fVx\fR is the continuous or discrete time 
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frequency response of \fV(A,B,C,D)\fR. 
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.LP
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\fVx=freq(NUM,DEN,f)\fR returns a real or complex matrix \fVx\fR such
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that columns \fVk*(p-1)+1\fR to \fVk*p\fR of \fVx\fR contain the matrix  
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\fVNUM(f(k))./DEN(f(k))\fR
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.SH EXAMPLE
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.nf
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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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.fi
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.SH SEE ALSO
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repfreq, horner
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