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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 18:04:34 +0100
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1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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2 "http://www.w3.org/TR/1999/REC-html401-19991224/loose.dtd">
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3
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4 <html lang="en">
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5 <head>
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6 <meta name="generator" content=
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7 "HTML Tidy for Mac OS X (vers 1st December 2004), see www.w3.org">
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8 <meta http-equiv="Content-Type" content=
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9 "text/html; charset=us-ascii">
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10
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11 <title>Basic math with AOs (LTPDA Toolbox)</title>
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12 <link rel="stylesheet" href="docstyle.css" type="text/css">
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13 <meta name="generator" content="DocBook XSL Stylesheets V1.52.2">
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14 <meta name="description" content=
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15 "Presents an overview of the features, system requirements, and starting the toolbox.">
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16 </head>
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17
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18 <body>
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19 <a name="top_of_page" id="top_of_page"></a>
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20
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21 <p style="font-size:1px;">&nbsp;</p>
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22
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23 <table class="nav" summary="Navigation aid" border="0" width=
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24 "100%" cellpadding="0" cellspacing="0">
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25 <tr>
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26 <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td>
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27
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28 <td valign="baseline" align="right"><a href=
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29 "ltpda_training_topic_1_3.html"><img src="b_prev.gif" border="0" align=
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30 "bottom" alt="Making a time-series AO"></a>&nbsp;&nbsp;&nbsp;<a href=
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31 "ltpda_training_topic_1_5.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Saving and loading AOs"></a></td>
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33 </tr>
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34 </table>
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35
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36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Basic math with AOs</h1>
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37 <hr>
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38
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39 <p>
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40 <p>
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41 Most of the basic math operations supported by MATLAB have been implemented
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42 as AO class methods. For example, suppose you want to add two AOs together, then you can do
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43 </p>
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44 <div class="fragment"><pre>
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45 a = ao(1);
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46 b = ao(2);
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47 c = a+b
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48 plot(c.hist)
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49 </pre></div>
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50 <p>
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51 <i>Note: the units of the two AOs for addition and subtraction must be the same. You can't
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52 add apples to oranges, but you can add dimensionless (empty units) to oranges.</i>
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53 </p>
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54 <p>
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55 Some of the standard operators can act as modifiers. For example, if you want to square an AO:
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56 </p>
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57 <div class="fragment"><pre>
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58 a = ao(2);
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59 a.^2
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60 </pre></div>
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61 <p>
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62 will do the job.
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63 </p>
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64 <p>
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65 The operators follow MATLAB rules whenever possible. So if you want to add
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66 a single AO to a vector of AOs, you can. However, if you want to add two
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67 vectors of AOs together, the two vectors must contain the same number of AOs.
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68 For example,
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69 </p>
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70 <div class="fragment"><pre>
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71 a = [ao(1) ao(2) ao(3)];
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72 b = ao(4);
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73 c = a + b
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74 </pre></div>
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75 <p>
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76 will work fine and result in <tt>b</tt> being added to each element of <tt>a</tt>. However,
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77 </p>
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78 <div class="fragment"><pre>
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79 a = [ao(1) ao(2) ao(3)];
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80 b = [ao(4) ao(5)];
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81 c = a + b
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82 </pre></div>
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83 <p>
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84 will give an error.
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85 </p>
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86 <p>
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87 You can do all of this on the workbench as well, of course.
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88 </p>
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89 <p>
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90 Try the following:
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91 <ol>
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92 <li>Start up the workbench, and/or open a new pipeline</li>
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93 <li>Drag an <tt>ao</tt> constructor block to the canvas</li>
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94 <li>Set the AO block to be constructed "From XY Values"</li>
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95 <li>Duplicate the block two more times (<tt>ctrl/cmd-d</tt>)</li>
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96 <li>Enter a number for the sampling ferquency <tt>fs</tt></li>
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97 <li>Enter a vector the same length for the <tt>y</tt> value of each block</li>
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98 <li>Drag a <tt>plus</tt> block to the canvas</li>
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99 <li>You'll see that by default the "plus" block has two inputs. To add another input,
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100 right-click on the block and choose "Add input" from the context menu</li>
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101 <li>Connect each AO block to the plus block. The easiest way to do that is to
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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
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103 can also drag a pipe from the output terminal of the AO blocks to the input terminals of the plus block
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104 if you want to be explicit about which input ports are used.</li>
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105 <li>Add an <tt>iplot</tt> block to the canvas and connect the output of the <tt>plus</tt> block to the input
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106 of the <tt>iplot</tt> block. You should now have a pipeline something like:<br>
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107 <img src="images/ltpda_training_1/topic1/ao_plus_eg.png" alt="AO plus example" border="1">
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108 </li>
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109 <li>Execute the pipeline and you should see a plot something like the one below, depending on what
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110 data values you gave to the <tt>ao</tt> constructors
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111 <img src="images/ltpda_training_1/topic1/ao_plus_plot.png" alt="AO plus plot" border="1"></li>
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112 </ol>
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113 </p>
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114
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115
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116
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117
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118
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119 </p>
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120
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121 <br>
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122 <br>
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123 <table class="nav" summary="Navigation aid" border="0" width=
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124 "100%" cellpadding="0" cellspacing="0">
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125 <tr valign="top">
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126 <td align="left" width="20"><a href="ltpda_training_topic_1_3.html"><img src=
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127 "b_prev.gif" border="0" align="bottom" alt=
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128 "Making a time-series AO"></a>&nbsp;</td>
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129
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130 <td align="left">Making a time-series AO</td>
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131
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132 <td>&nbsp;</td>
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133
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134 <td align="right">Saving and loading AOs</td>
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135
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136 <td align="right" width="20"><a href=
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137 "ltpda_training_topic_1_5.html"><img src="b_next.gif" border="0" align=
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138 "bottom" alt="Saving and loading AOs"></a></td>
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139 </tr>
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140 </table><br>
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141
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142 <p class="copy">&copy;LTP Team</p>
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143 </body>
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144 </html>