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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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11 <title>Basic math with AOs (LTPDA Toolbox)</title>
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15 "Presents an overview of the features, system requirements, and starting the toolbox.">
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18 <body>
19 <a name="top_of_page" id="top_of_page"></a>
20
21 <p style="font-size:1px;">&nbsp;</p>
22
23 <table class="nav" summary="Navigation aid" border="0" width=
24 "100%" cellpadding="0" cellspacing="0">
25 <tr>
26 <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td>
27
28 <td valign="baseline" align="right"><a href=
29 "ltpda_training_topic_1_3.html"><img src="b_prev.gif" border="0" align=
30 "bottom" alt="Making a time-series AO"></a>&nbsp;&nbsp;&nbsp;<a href=
31 "ltpda_training_topic_1_5.html"><img src="b_next.gif" border="0" align=
32 "bottom" alt="Saving and loading AOs"></a></td>
33 </tr>
34 </table>
35
36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Basic math with AOs</h1>
37 <hr>
38
39 <p>
40 <p>
41 Most of the basic math operations supported by MATLAB have been implemented
42 as AO class methods. For example, suppose you want to add two AOs together, then you can do
43 </p>
44 <div class="fragment"><pre>
45 a = ao(1);
46 b = ao(2);
47 c = a+b
48 plot(c.hist)
49 </pre></div>
50 <p>
51 <i>Note: the units of the two AOs for addition and subtraction must be the same. You can't
52 add apples to oranges, but you can add dimensionless (empty units) to oranges.</i>
53 </p>
54 <p>
55 Some of the standard operators can act as modifiers. For example, if you want to square an AO:
56 </p>
57 <div class="fragment"><pre>
58 a = ao(2);
59 a.^2
60 </pre></div>
61 <p>
62 will do the job.
63 </p>
64 <p>
65 The operators follow MATLAB rules whenever possible. So if you want to add
66 a single AO to a vector of AOs, you can. However, if you want to add two
67 vectors of AOs together, the two vectors must contain the same number of AOs.
68 For example,
69 </p>
70 <div class="fragment"><pre>
71 a = [ao(1) ao(2) ao(3)];
72 b = ao(4);
73 c = a + b
74 </pre></div>
75 <p>
76 will work fine and result in <tt>b</tt> being added to each element of <tt>a</tt>. However,
77 </p>
78 <div class="fragment"><pre>
79 a = [ao(1) ao(2) ao(3)];
80 b = [ao(4) ao(5)];
81 c = a + b
82 </pre></div>
83 <p>
84 will give an error.
85 </p>
86 <p>
87 You can do all of this on the workbench as well, of course.
88 </p>
89 <p>
90 Try the following:
91 <ol>
92 <li>Start up the workbench, and/or open a new pipeline</li>
93 <li>Drag an <tt>ao</tt> constructor block to the canvas</li>
94 <li>Set the AO block to be constructed "From XY Values"</li>
95 <li>Duplicate the block two more times (<tt>ctrl/cmd-d</tt>)</li>
96 <li>Enter a number for the sampling ferquency <tt>fs</tt></li>
97 <li>Enter a vector the same length for the <tt>y</tt> value of each block</li>
98 <li>Drag a <tt>plus</tt> block to the canvas</li>
99 <li>You'll see that by default the "plus" block has two inputs. To add another input,
100 right-click on the block and choose "Add input" from the context menu</li>
101 <li>Connect each AO block to the plus block. The easiest way to do that is to
102 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
103 can also drag a pipe from the output terminal of the AO blocks to the input terminals of the plus block
104 if you want to be explicit about which input ports are used.</li>
105 <li>Add an <tt>iplot</tt> block to the canvas and connect the output of the <tt>plus</tt> block to the input
106 of the <tt>iplot</tt> block. You should now have a pipeline something like:<br>
107 <img src="images/ltpda_training_1/topic1/ao_plus_eg.png" alt="AO plus example" border="1">
108 </li>
109 <li>Execute the pipeline and you should see a plot something like the one below, depending on what
110 data values you gave to the <tt>ao</tt> constructors
111 <img src="images/ltpda_training_1/topic1/ao_plus_plot.png" alt="AO plus plot" border="1"></li>
112 </ol>
113 </p>
114
115
116
117
118
119 </p>
120
121 <br>
122 <br>
123 <table class="nav" summary="Navigation aid" border="0" width=
124 "100%" cellpadding="0" cellspacing="0">
125 <tr valign="top">
126 <td align="left" width="20"><a href="ltpda_training_topic_1_3.html"><img src=
127 "b_prev.gif" border="0" align="bottom" alt=
128 "Making a time-series AO"></a>&nbsp;</td>
129
130 <td align="left">Making a time-series AO</td>
131
132 <td>&nbsp;</td>
133
134 <td align="right">Saving and loading AOs</td>
135
136 <td align="right" width="20"><a href=
137 "ltpda_training_topic_1_5.html"><img src="b_next.gif" border="0" align=
138 "bottom" alt="Saving and loading AOs"></a></td>
139 </tr>
140 </table><br>
141
142 <p class="copy">&copy;LTP Team</p>
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144 </html>