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author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Mon, 05 Dec 2011 16:20:06 +0100 |
parents | f0afece42f48 |
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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/1999/REC-html401-19991224/loose.dtd"> <html lang="en"> <head> <meta name="generator" content= "HTML Tidy for Mac OS X (vers 1st December 2004), see www.w3.org"> <meta http-equiv="Content-Type" content= "text/html; charset=us-ascii"> <title>Sum of partial fractions representation (LTPDA Toolbox)</title> <link rel="stylesheet" href="docstyle.css" type="text/css"> <meta name="generator" content="DocBook XSL Stylesheets V1.52.2"> <meta name="description" content= "Presents an overview of the features, system requirements, and starting the toolbox."> </head> <body> <a name="top_of_page" id="top_of_page"></a> <p style="font-size:1px;"> </p> <table class="nav" summary="Navigation aid" border="0" width= "100%" cellpadding="0" cellspacing="0"> <tr> <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td> <td valign="baseline" align="right"><a href= "pzmodel_gui.html"><img src="b_prev.gif" border="0" align= "bottom" alt="Model helper GUI"></a> <a href= "rational.html"><img src="b_next.gif" border="0" align= "bottom" alt="Rational representation"></a></td> </tr> </table> <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Sum of partial fractions representation</h1> <hr> <p> <p> Transfer functions can be expressed as a quocient of polynomials </p> <br> <div align="center"> <img src="images/parfrac_tf_eqn.png" alt="Pole/zero model TF" border="3"> </div> <br> <p> The constructor can be used in different ways </p> <h2>From poles and residues</a></h2> <p> The standard way is to input the coefficients of your filter. The constructor accepts as a optional properties the name </p> <br> <div class="fragment"><pre> >> par = parfrac([1 2+1i 2-1i], [6 1+3i 1-3i], []) ---- parfrac 1 ---- model: None res: [1;2+i*1;2-i*1] poles: [6;1+i*3;1-i*3] dir: 0 pmul: [1;1;1] iunits: [] ounits: [] ------------------- </pre></div> <br> <h2>From partial XML file</a></h2> You can input a XML file containing a transfer function model into the constructor <br> <div class="fragment"><pre> >> par = parfrac('datafile.xml') </pre></div> <br> <h2>From mat file</a></h2> You can input a mat file containing a transfer function model into the constructor <br> <div class="fragment"><pre> >> rat = parfrac('datafile.mat') </pre></div> <br> <h2>From plist</a></h2> All the properties of the filter can be specified in a plist and then passed to the constructor: <br> <div class="fragment"><pre> >> pl = plist('iunits','m','ounits','V','res',[1 2+1i 2-1i],'poles',[6 1+3i 1-3i],... 'name','filter_mame'); >> par = parfrac(pl) ---- parfrac 1 ---- model: filter_mame res: [1;2+i*1;2-i*1] poles: [6;1+i*3;1-i*3] dir: 0 pmul: [1;1;1] iunits: [m] ounits: [V] ------------------- </pre></div> <br> <h2>From repository</a></h2> Rational transfer function can be obtained from the <a href="repo.html"> repository </a> with the following syntax. <br> <div class="fragment"><pre> >> rat = rational('Hostname','localhost','Database','ltpda',... 'ID',[],'CID',[],'Binary',yes) </pre></div> <br> </p> <br> <br> <table class="nav" summary="Navigation aid" border="0" width= "100%" cellpadding="0" cellspacing="0"> <tr valign="top"> <td align="left" width="20"><a href="pzmodel_gui.html"><img src= "b_prev.gif" border="0" align="bottom" alt= "Model helper GUI"></a> </td> <td align="left">Model helper GUI</td> <td> </td> <td align="right">Rational representation</td> <td align="right" width="20"><a href= "rational.html"><img src="b_next.gif" border="0" align= "bottom" alt="Rational representation"></a></td> </tr> </table><br> <p class="copy">©LTP Team</p> </body> </html>