view m-toolbox/html_help/help/ug/parfrac.html @ 51:9d5c88356247
database-connection-manager
Make unit tests database connection parameters configurable
author |
Daniele Nicolodi <nicolodi@science.unitn.it> |
date |
Wed, 07 Dec 2011 17:24:37 +0100 (2011-12-07) |
parents |
f0afece42f48 |
children |
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<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>
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