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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2002-03-21 16:57:43 UTC
  • Revision ID: james.westby@ubuntu.com-20020321165743-e9mv12c1tb1plztg
Tags: upstream-2.6
Import upstream version 2.6

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man/signal/mrfit.man
 
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.TH mrfit 1 "April 1993" "Scilab Group" "Scilab Function"
 
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.so ../sci.an
 
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.SH NAME
 
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mrfit - frequency response fit
 
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.SH CALLING SEQUENCE
 
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.nf
 
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sys=mrfit(w,mag,order)
 
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[num,den]=mrfit(w,mag,order)
 
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sys=mrfit(w,mag,order,weight)
 
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[num,den]=mrfit(w,mag,order,weight)
 
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.fi
 
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.SH PARAMETERS
 
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.TP 10
 
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w
 
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: positive real vector of frequencies (Hz)
 
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.TP
 
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mag
 
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: real vector of frequency responses magnitude (same size as \fVw\fR)
 
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.TP
 
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order
 
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: integer (required order, degree of \fVden\fR)
 
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.TP
 
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weight
 
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: positive real vector (default value \fVones(w)\fR).
 
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.TP
 
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num,den
 
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: stable polynomials
 
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.SH DESCRIPTION
 
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\fVsys=mrfit(w,mag,order,weight)\fR returns a bi-stable transfer function
 
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\fVG(s)=sys=num/den\fR, of of given \fVorder\fR such that 
 
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its frequency response magnitude \fVabs(G(w(i)))\fR 
 
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matches \fVmag(i)\fR i.e. \fVabs(freq(num,den,%i*w))\fR should be 
 
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close to \fVmag\fR.
 
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\fVweight(i)\fR is the weigth given to \fVw(i)\fR.
 
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.SH EXAMPLE
 
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.nf
 
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w=0.01:0.01:2;s=poly(0,'s');
 
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G=syslin('c',2*(s^2+0.1*s+2),(s^2+s+1)*(s^2+0.3*s+1)); // syslin('c',Num,Den);
 
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fresp=repfreq(G,w);
 
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mag=abs(fresp);
 
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Gid=mrfit(w,mag,4);
 
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frespfit=repfreq(Gid,w);
 
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plot2d([w',w'],[mag(:),abs(frespfit(:))])
 
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.fi
 
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.SH SEE ALSO
 
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cepstrum, frfit, freq, calfrq
 
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