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author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Mon, 05 Dec 2011 16:20:06 +0100 |
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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>Constructor examples of the PARFRAC class (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= "constructor_examples_pzmodel.html"><img src="b_prev.gif" border="0" align= "bottom" alt="Constructor examples of the PZMODEL class"></a> <a href= "constructor_examples_rational.html"><img src="b_next.gif" border="0" align= "bottom" alt="Constructor examples of the RATIONAL class"></a></td> </tr> </table> <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Constructor examples of the PARFRAC class</h1> <hr> <p> <!-- -------------------------------------------------- --> <!-- --------------- BEGIN CONTENT FILE --------------- --> <!-- -------------------------------------------------- --> <!-- --------------- Link box: begin --------------- --> <table border="0" summary="Simple list" class="simplelist_nottable_last"> <tr> <td> <a href="constructor_examples_parfrac.html#copy">Copy an parfrac object</a> </td> </tr> <tr> <td> <a href="constructor_examples_parfrac.html#xml_file">Construct an parfrac object by loading the object from a file</a> </td> </tr> <tr> <td> <a href="constructor_examples_parfrac.html#rational">Construct an parfrac object from a rational object</a> </td> </tr> <tr> <td> <a href="constructor_examples_parfrac.html#pzmodel">Construct an parfrac object from a pole/zero model</a> </td> </tr> <tr> <td> <a href="constructor_examples_parfrac.html#direct_values">Construct an parfrac object from residuals, poles and direct terms</a> </td> </tr> <tr> <td> <a href="constructor_examples_parfrac.html#plist">Construct an parfrac object from a parameter list object (PLIST)</a> </td> </tr> </table> <!-- --------------- NEXT EXAMPLE --------------- --> <hr> <h2 class="title"><a name="copy"></a>Copy an parfrac object</h2> <p>The following example creates a copy of an parfrac object (blue command).</p> <div class="fragment"><pre class="programlisting"> >> pf1 = parfrac([1 2+1i 2-1i], [6 1+3i 1-3i], 3) <span class="blue">>> pf2 = parfrac(pf1)</span> ---- parfrac 1 ---- model: None res: [1;2+i*1;2-i*1] poles: [6;1+i*3;1-i*3] dir: 3 pmul: [1;1;1] iunits: [] ounits: [] ------------------- </pre></div> <br></br> <p>REMARK: The following command copies only the handle of an object and doesn't create a copy of the object (as above). This means that everything that happens to the copy or original happens to the other object.</p> <div class="fragment"><pre class="programlisting"> >> pf1 = parfrac() ---- parfrac 1 ---- model: none res: [] poles: [] dir: 0 pmul: [] iunits: [] ounits: [] ------------------- >> pf2 = pf1; >> pf2.setName(<span class="string">'my new name'</span>) ---- parfrac 1 ---- model: <span class="string">my new name</span> res: [] poles: [] dir: 0 pmul: [] iunits: [] ounits: [] ------------------- </pre></div> <br></br> <p>If we display pf1 again then we see that the property 'name' was changed although we only have changed pf2.</p> <div class="fragment"><pre class="programlisting"> >> pf1 ---- parfrac 1 ---- model: <span class="string">my new name</span> res: [] poles: [] dir: 0 pmul: [] iunits: [] ounits: [] ------------------- </pre></div> <!-- --------------- NEXT EXAMPLE --------------- --> <hr> <h2 class="title"><a name="xml_file"></a>Construct an parfrac object by loading the object from a file</h2> <p>The following example creates a new parfrac object by loading the object from disk.</p> <div class="fragment"><pre class="programlisting"> pf = parfrac(<span class="string">'parfrac_object.mat'</span>) pf = parfrac(<span class="string">'parfrac_object.xml'</span>) </pre></div> <p>or in a <tt>PLIST</tt></p> <div class="fragment"><pre class="programlisting"> pl = plist(<span class="string">'filename'</span>, <span class="string">'parfrac_object.xml'</span>); pf = parfrac(pl) </pre></div> <!-- --------------- NEXT EXAMPLE --------------- --> <hr> <h2 class="title"><a name="rational"></a>Construct an parfrac object from a rational object</h2> <p>The following example creates a new parfrac object from a rational object.</p> <div class="fragment"><pre class="programlisting"> >> rat = rational([1 2 3], [4 5 6 7], <span class="string">'my rational'</span>) ---- rational 1 ---- model: my rational num: [1 2 3] den: [4 5 6 7] iunits: [] ounits: [] -------------------- >> pf = parfrac(rat) ---- parfrac 1 ---- model: parfrac(my rational) res: [0.0355+i*0.1682; 0.0355-i*0.1682; 0.1788] poles: [-0.021-i*1.2035;-0.0211+i*1.2035;-1.2077] dir: 0 pmul: [1;1;1] iunits: [] ounits: [] ------------------- </pre></div> <p>or in a plist</p> <div class="fragment"><pre class="programlisting"> >> rat = rational([1 2 3], [4 5 6 7], <span class="string">'my rational'</span>); >> pl = plist(<span class="string">'rational'</span>, rat) >> pf = parfrac(pl) </pre></div> <!-- --------------- NEXT EXAMPLE --------------- --> <hr> <h2 class="title"><a name="pzmodel"></a>Construct an parfrac object from a pole/zero model</h2> <p>The following example creates a new parfrac object from a pole/zero model.</p> <div class="fragment"><pre class="programlisting"> >> pzm = pzmodel(1, {1 2 3}, {4 5}) ---- pzmodel 1 ---- name: None gain: 1 delay: 0 iunits: [] ounits: [] pole 001: (f=1 Hz,Q=NaN) pole 002: (f=2 Hz,Q=NaN) pole 003: (f=3 Hz,Q=NaN) zero 001: (f=4 Hz,Q=NaN) zero 002: (f=5 Hz,Q=NaN) ------------------- >> pf = parfrac(pzm) --- parfrac 1 ---- model: parfrac(None) res: [0.999999999999999;-6.00000000000001;5.99999999999999] poles: [-18.8495559215388;-12.5663706143592;-6.28318530717959] dir: 0 pmul: [1;1;1] iunits: [] ounits: [] ------------------- </pre></div> <p>or in a plist</p> <div class="fragment"><pre class="programlisting"> >> pzm = pzmodel(1, {1 2 3}, {4 5}) >> pl = plist(<span class="string">'pzmodel'</span>, pzm) >> pf = parfrac(pl) </pre></div> <!-- --------------- NEXT EXAMPLE --------------- --> <hr> <h2 class="title"><a name="direct_values"></a>Construct an parfrac object from residuals, poles and direct terms</h2> <p>The following example creates a new parfrac direct from the values.</p> <div class="fragment"><pre class="programlisting"> >> res = [1;2+i*1;2-i*1]; >> poles = [6;1+i*3;1-i*3]; >> dir = 3; >> name = <span class="string">'my parfrac'</span>; >> iunits = <span class="string">'Hz'</span>; >> ounits = <span class="string">'V'</span>; >> pf = parfrac(res, poles, dir) >> pf = parfrac(res, poles, dir, name) >> pf = parfrac(res, poles, dir, name, iunits, ounits) ---- parfrac 1 ---- model: my parfrac res: [1;2+i*1;2-i*1] poles: [6;1+i*3;1-i*3] dir: 3 pmul: [1;1;1] iunits: [Hz] ounits: [V] ------------------- </pre></div> <!-- --------------- NEXT EXAMPLE --------------- --> <hr> <h2 class="title"><a name="plist"></a>Construct an parfrac object from a parameter list (<tt>plist</tt>)</h2> <p>Constructs an parfrac object from the description given in the parameter list.</p> <!-- --------------- Link box: begin --------------- --> <table border="0" summary="Simple list" class="simplelist_nottable_last"> <tr> <td> <a href="constructor_examples_parfrac.html#hostname">Use the key word 'hostname'</a> </td> </tr> <tr> <td> <a href="constructor_examples_parfrac.html#direct_terms">Use the key word 'res' or 'poles' or 'dir'</a> </td> </tr> </table> <!-- --------------- Link box: end --------------- --> <!-- --------------- 'hostname' --------------- --> <hr> <h3 class="title"><a name="hostname"></a>Use the key word 'hostname'</h3> <p>Construct an parfrac object by retrieving it from a LTPDA repository. <p>The relevant parameters are:</p> <p> <table cellspacing="0" border="0" cellpadding="2" class="simplelist_nottable_last" width="80%"> <colgroup> <col width="25%"/> <col width="75%"/> </colgroup> <thead> <tr valign="top"> <th class="subcategorylist">Key</th> <th class="subcategorylist">Description</th> </tr> </thead> <tbody> <tr valign="top"> <td> <p>'hostname'</p> </td> <td> <p>the repository hostname. [default: 'localhost']</p> </td> </tr> <tr valign="top"> <td> <p>'database'</p> </td> <td> <p>The database name [default: 'ltpda']</p> </td> </tr> <tr valign="top"> <td> <p>'id'</p> </td> <td> <p>A vector of object IDs. [default: []]</p> </td> </tr> <tr valign="top"> <td> <p>'cid'</p> </td> <td> <p>Retrieve all parfrac objects from a particular collection</p> </td> </tr> <tr valign="top"> <td> <p>'binary'</p> </td> <td> <p>Set to 'yes' to retrieve from stored binary representation (not always available). [default: yes]</p> </td> </tr> </tbody> </table> </p> <div class="fragment"><pre class="programlisting"> pl = plist(<span class="string">'hostname'</span>, <span class="string">'130.75.117.67'</span>, <span class="string">'database'</span>, <span class="string">'ltpda_test'</span>, <span class="string">'id'</span>, 1) a1 = parfrac(pl) </pre></div> <!-- --------------- 'direct_terms' --------------- --> <hr> <h3 class="title"><a name="direct_terms"></a>Use the key word 'res' or 'poles' or 'dir'</h3> <p>Construct an parfrac object direct from the residual, pole or direct terms.<br></br> The relevant parameters are:</p> <p> <table cellspacing="0" border="0" cellpadding="2" class="simplelist_nottable_last" width="80%"> <colgroup> <col width="25%"/> <col width="75%"/> </colgroup> <thead> <tr valign="top"> <th class="subcategorylist">Key</th> <th class="subcategorylist">Description</th> </tr> </thead> <tbody> <tr valign="top"> <td> <p>'res'</p> </td> <td> <p>residuals [default: []]</p> </td> </tr> <tr valign="top"> <td> <p>'poles'</p> </td> <td> <p>poles [default: []]</p> </td> </tr> <tr valign="top"> <td> <p>'dir'</p> </td> <td> <p>direct terms [default: []]</p> </td> </tr> </tbody> </table> </p> <p>You can also specify optional parameters:</p> <p> <table cellspacing="0" border="0" cellpadding="2" class="simplelist_nottable_last" width="80%"> <colgroup> <col width="25%"/> <col width="75%"/> </colgroup> <thead> <tr valign="top"> <th class="subcategorylist">Key</th> <th class="subcategorylist">Description</th> </tr> </thead> <tbody> <tr valign="top"> <td> <p>'name'</p> </td> <td> <p>name of the parfrac object [default: 'none']</p> </td> </tr> <tr valign="top"> <td> <p>'xunits'</p> </td> <td> <p>unit of the x-axis</p> </td> </tr> <tr valign="top"> <td> <p>'yunits'</p> </td> <td> <p>unit of the y-axis</p> </td> </tr> </tbody> </table> </p> <div class="fragment"><pre class="programlisting"> res = [1;2+i*1;2-i*1]; poles = [6;1+i*3;1-i*3]; dir = 3; name = <span class="string">'my parfrac'</span>; iunits = <span class="string">'Hz'</span>; ounits = <span class="string">'V'</span>; pl = plist(<span class="string">'res'</span>, res, <span class="string">'poles'</span>, poles); pf = parfrac(pl) ---- 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: [] ------------------- pl = plist(<span class="string">'res'</span>, res, <span class="string">'poles'</span>, poles, <span class="string">'name'</span>, name, <span class="string">'iunits'</span>, iunits, <span class="string">'ounits'</span>, ounits); pf = parfrac(pl) ---- parfrac 1 ---- model: my parfrac res: [1;2+i*1;2-i*1] poles: [6;1+i*3;1-i*3] dir: 0 pmul: [1;1;1] iunits: [Hz] ounits: [V] ------------------- </pre></div> </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="constructor_examples_pzmodel.html"><img src= "b_prev.gif" border="0" align="bottom" alt= "Constructor examples of the PZMODEL class"></a> </td> <td align="left">Constructor examples of the PZMODEL class</td> <td> </td> <td align="right">Constructor examples of the RATIONAL class</td> <td align="right" width="20"><a href= "constructor_examples_rational.html"><img src="b_next.gif" border="0" align= "bottom" alt="Constructor examples of the RATIONAL class"></a></td> </tr> </table><br> <p class="copy">©LTP Team</p> </body> </html>