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Import.
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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+  <title>Basic math with AOs (LTPDA Toolbox)</title>
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+  <p style="font-size:1px;">&nbsp;</p>
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+  <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=
+      "ltpda_training_topic_1_3.html"><img src="b_prev.gif" border="0" align=
+      "bottom" alt="Making a time-series AO"></a>&nbsp;&nbsp;&nbsp;<a href=
+      "ltpda_training_topic_1_5.html"><img src="b_next.gif" border="0" align=
+      "bottom" alt="Saving and loading AOs"></a></td>
+    </tr>
+  </table>
+
+  <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Basic math with AOs</h1>
+  <hr>
+  
+  <p>
+	<p>
+  Most of the basic math operations supported by MATLAB have been implemented 
+  as AO class methods. For example, suppose you want to add two AOs together, then you can do
+</p>
+<div class="fragment"><pre>
+    a = ao(1);
+    b = ao(2);
+    c = a+b
+    plot(c.hist)
+</pre></div>
+<p>
+  <i>Note: the units of the two AOs for addition and subtraction must be the same. You can't 
+  add apples to oranges, but you can add dimensionless (empty units) to oranges.</i>
+</p>
+<p>
+  Some of the standard operators can act as modifiers. For example, if you want to square an AO:
+</p>
+<div class="fragment"><pre>
+    a = ao(2);
+    a.^2
+</pre></div>
+<p>
+  will do the job.
+</p>
+<p>
+  The operators follow MATLAB rules whenever possible. So if you want to add 
+  a single AO to a vector of AOs, you can. However, if you want to add two 
+  vectors of AOs together, the two vectors must contain the same number of AOs. 
+  For example,
+</p>
+<div class="fragment"><pre>
+    a = [ao(1) ao(2) ao(3)];
+    b = ao(4);
+    c = a + b
+</pre></div>
+<p>
+  will work fine and result in <tt>b</tt> being added to each element of <tt>a</tt>. However,
+</p>
+<div class="fragment"><pre>
+    a = [ao(1) ao(2) ao(3)];
+    b = [ao(4) ao(5)];
+    c = a + b
+</pre></div>
+<p>
+  will give an error.
+</p>
+<p>
+  You can do all of this on the workbench as well, of course.
+</p>
+<p>
+  Try the following:
+  <ol>
+    <li>Start up the workbench, and/or open a new pipeline</li>
+    <li>Drag an <tt>ao</tt> constructor block to the canvas</li>
+    <li>Set the AO block to be constructed "From XY Values"</li>
+    <li>Duplicate the block two more times (<tt>ctrl/cmd-d</tt>)</li>
+    <li>Enter a number for the sampling ferquency <tt>fs</tt></li>
+    <li>Enter a vector the same length for the <tt>y</tt> value of each block</li>
+    <li>Drag a <tt>plus</tt> block to the canvas</li>
+    <li>You'll see that by default the "plus" block has two inputs. To add another input, 
+    right-click on the block and choose "Add input" from the context menu</li>
+    <li>Connect each AO block to the plus block. The easiest way to do that is to 
+      select the AO block (source) and then <tt>ctrl+left-click</tt>  (<tt>cmd+left-click</tt> on Mac systems) on the plus (destination) block. You
+      can also drag a pipe from the output terminal of the AO blocks to the input terminals of the plus block
+    if you want to be explicit about which input ports are used.</li>
+    <li>Add an <tt>iplot</tt> block to the canvas and connect the output of the <tt>plus</tt> block to the input 
+      of the <tt>iplot</tt> block. You should now have a pipeline something like:<br>      
+      <img src="images/ltpda_training_1/topic1/ao_plus_eg.png" alt="AO plus example" border="1">
+    </li>
+    <li>Execute the pipeline and you should see a plot something like the one below, depending on what 
+      data values you gave to the <tt>ao</tt> constructors
+    <img src="images/ltpda_training_1/topic1/ao_plus_plot.png" alt="AO plus plot" border="1"></li>
+  </ol>
+</p>
+
+
+
+
+
+  </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="ltpda_training_topic_1_3.html"><img src=
+      "b_prev.gif" border="0" align="bottom" alt=
+      "Making a time-series AO"></a>&nbsp;</td>
+
+      <td align="left">Making a time-series AO</td>
+
+      <td>&nbsp;</td>
+
+      <td align="right">Saving and loading AOs</td>
+
+      <td align="right" width="20"><a href=
+      "ltpda_training_topic_1_5.html"><img src="b_next.gif" border="0" align=
+      "bottom" alt="Saving and loading AOs"></a></td>
+    </tr>
+  </table><br>
+
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