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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>Making a time-series AO (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;"> </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_2.html"><img src="b_prev.gif" border="0" align=
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+ − 30 "bottom" alt="Making AOs"></a> <a href=
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+ − 31 "ltpda_training_topic_1_4.html"><img src="b_next.gif" border="0" align=
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+ − 32 "bottom" alt="Basic math with 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>Making a time-series AO</h1>
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+ − 37 <hr>
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+ − 38
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+ − 39 <p>
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+ − 40 <h2>Exercise 4</h2>
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+ − 41 <p>
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+ − 42 Time-series data are stored in a data object of the class <tt>tsdata</tt>.
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+ − 43 As a user, you don't need to care about this, but it's sometimes
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+ − 44 nice to know how things work. There are various ways (constructors)
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+ − 45 to build time-series AOs. For example, you can give a set of values and
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+ − 46 a sample rate like
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+ − 47 </p>
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+ − 48 <div class="fragment"><pre>
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+ − 49 a = ao([1 2 3 4 5], 2)
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+ − 50 </pre></div>
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+ − 51 <p>
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+ − 52 The first argument is the Y data vector; the second, the sample rate.
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+ − 53 </p>
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+ − 54 <p>
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+ − 55 If you run this command in the MATLAB terminal you should see
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+ − 56 </p>
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+ − 57 <div class="fragment"><pre>
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+ − 58 >> a = ao([1 2 3 4 5], 2)
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+ − 59 M: constructing from Y values and fs
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+ − 60 ----------- ao 01: a -----------
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+ − 61
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+ − 62 name: ''
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+ − 63 data: (0,1) (0.5,2) (1,3) (1.5,4) (2,5)
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+ − 64 -------- tsdata 01 ------------
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+ − 65
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+ − 66 fs: 2
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+ − 67 x: [1 5], double
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+ − 68 y: [1 5], double
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+ − 69 dx: [0 0], double
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+ − 70 dy: [0 0], double
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+ − 71 xunits: [s]
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+ − 72 yunits: []
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+ − 73 nsecs: 2.5
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+ − 74 t0: 1970-01-01 00:00:00.000
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+ − 75 -------------------------------
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+ − 76
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+ − 77 hist: ao / ao / SId: fromXYVals.m,v 1.10 2011/05/07 05:15:26 mauro Exp S-->SId: ao.m,v 1.346 2011/05/07 06:56:17 mauro Exp S
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+ − 78 description:
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+ − 79 UUID: 2484d029-4616-4b22-8229-7685c8d3e847
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+ − 80 --------------------------------
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+ − 81 </pre></div>
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+ − 82 <p>
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+ − 83 Now you see that the data type is <tt>tsdata</tt> and the X units are automatically
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+ − 84 set to seconds ('s'). You can also see that the data series spans 2.5s
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+ − 85 and that the first sample corresponds to 1970-01-01 00:00:00.000 UTC.
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+ − 86 You can set further properties of the object, for example
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+ − 87 </p>
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+ − 88 <p>
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+ − 89 <div class="fragment"><pre>
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+ − 90 a.setT0(<span class="string">'2009-02-03 12:23:44'</span>);
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+ − 91 a.setDescription(<span class="string">'My lovely time-series'</span>)
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+ − 92 </pre></div>
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+ − 93 </p>
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+ − 94 <br>
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+ − 95 <p>
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+ − 96 You can do all of this in one block on the workbench. To do that:
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+ − 97 <ol>
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+ − 98 <li>Start the workbench and create a new pipeline</li>
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+ − 99 <li>Drag an AO constructor block from the library (or use "Quick Block")</li>
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+ − 100 <li>Select the block and select the "From XY Values" parameter set</li>
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+ − 101 <li>Click the "Set" button to set the parameters to the block</li>
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+ − 102 <li>Double-click the value cell for the key "YVALS" and enter some values, e.g., <tt>1:10</tt></li>
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+ − 103 <li>Double-click the value cell for the key "FS" and enter a sample frequency, e.g., <tt>2</tt>. By
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+ − 104 setting a set of values for the Y-data and a sample rate, we tell the AO constructor that we want to
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+ − 105 build a <tt>tsdata</tt> AO.</li>
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+ − 106 <li>To set the name of the block, double click the block and enter a name in the dialog box. Automatic
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+ − 107 setting of AO names from the block name only happens for constructor blocks. To the set the name of AOs
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+ − 108 which are outputs of all other block types, use the <tt>setName</tt> block.
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+ − 109 </li>
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+ − 110 <li>You'll notice that the parameter list doesn't contain a <tt>T0</tt> parameter by default, but you can
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+ − 111 easily add this parameter by clicking on the "plus" button below the parameter list. Enter the key <tt>T0</tt>
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+ − 112 in the dialog box, and an appropriate value in the next dialog box. (Note: parameter key names are case
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+ − 113 insensitive.)</li>
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+ − 114 <li>You can do the same for the description, or any other property of the AO.</li>
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+ − 115 </ol>
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+ − 116 </p>
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+ − 117 <p>
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+ − 118 The final parameter list in this case might look like:
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+ − 119 </p>
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+ − 120 <img src="images/ltpda_training_1/topic1/tsdata_pset.png" alt="Time-series parameter set" border="1">
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+ − 121
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+ − 122 <br>
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+ − 123 <br>
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+ − 124 <!-- Plists -->
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+ − 125 <h2>Digression: Introducing parameter lists</h2>
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+ − 126 <br>
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+ − 127 <p>
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+ − 128 The time has come to go back to that <tt>plist</tt> command we saw earlier when plotting
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+ − 129 the AO history via the graphviz renderer.
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+ − 130 </p>
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+ − 131 <p>
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+ − 132 The following two commands are equivalent:
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+ − 133 </p>
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+ − 134 <div class="fragment"><pre>
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+ − 135 a = ao([1 2 3 4 5], 2);
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+ − 136 a = ao(plist(<span class="string">'yvals'</span>, [1 2 3 4 5], <span class="string">'fs'</span>, 2))
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+ − 137 </pre></div>
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+ − 138 <p>
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+ − 139 Here we introduce the idea of parameter lists (<tt>plist</tt>). A <tt>plist</tt> is a list
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+ − 140 of parameters, each parameter being defined by a key/value pair. The key of
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+ − 141 a <tt>plist</tt> is always a string and is always case insensitive. The value can be
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+ − 142 anything: a number, a string, another LTPDA object, a cell-array, a structure, etc. For more
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+ − 143 information about parameter lists, see the <a href="plist_intro.html">appropriate section</a>
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+ − 144 of the LTPDA user manual.
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+ − 145 </p>
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+ − 146 <p>
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+ − 147 Going on with time-series objects: The following is almost equivalent:
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+ − 148 </p>
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+ − 149 <div class="fragment"><pre>
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+ − 150 a = ao(plist(<span class="string">'xvals'</span>, [0 0.5 1 1.5 2], <span class="string">'yvals'</span>, [1 2 3 4 5]))
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+ − 151 </pre></div>
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+ − 152 <p>
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+ − 153 The difference is, if you run this command, you will see that the resulting
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+ − 154 AO has data of type <tt>xydata</tt>. To make this a time-series object,
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+ − 155 we need to tell the constructor some more information. Either you need to
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+ − 156 specify the sample-rate, or you can explicitly set the data type:
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+ − 157 </p>
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+ − 158 <div class="fragment"><pre>
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+ − 159 a = ao(plist(<span class="string">'xvals'</span>, [0 0.5 1 1.5 2], <span class="string">'yvals'</span>, [1 2 3 4 5], <span class="string">'fs'</span>, 2))
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+ − 160 a = ao(plist(<span class="string">'xvals'</span>, [0 0.5 1 1.5 2], <span class="string">'yvals'</span>, [1 2 3 4 5], <span class="string">'type'</span>,...
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+ − 161 <span class="string">'tsdata'</span>))
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+ − 162 </pre></div>
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+ − 163 <p>
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+ − 164 <table cellspacing="0" class="note" summary="Note" cellpadding="5" border="1">
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+ − 165 <tr width="90%">
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+ − 166 <td>
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+ − 167 The elipsis (<tt>...</tt>) in MATLAB means join the two lines.
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+ − 168 </td>
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+ − 169 </tr>
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+ − 170 </table>
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+ − 171 </p>
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+ − 172 <p>
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+ − 173 If you specify the samples rate with the key 'fs', then the 'xvals'
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+ − 174 are just ignored. If you tell the data type with the key 'type', then
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+ − 175 the sample rate is computed from the 'xvals'.
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+ − 176 </p>
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+ − 177 <p>
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+ − 178 You can add additional parameters to these constructor lines. For example,
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 179 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 180 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 181 a = ao(plist(<span class="string">'xvals'</span>, [0 0.5 1 1.5 2], <span class="string">'yvals'</span>, [1 2 3 4 5], ...
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 182 <span class="string">'type'</span>, <span class="string">'tsdata'</span>, ...
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 183 <span class="string">'name'</span>, <span class="string">'Bob'</span>, ...
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 184 <span class="string">'t0'</span>, <span class="string">'2008-09-01'</span>))
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 185 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 186 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 187 There are other constructors which make constructing time-series AOs from
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 188 simulated data more convenient. Two of these are discussed below.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 189 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 190 <br>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 191 <!-- Time-series f(t) -->
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 192 <h2>Times-series AO as a function of <tt>t</tt></h2>
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 193 <br>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 194 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 195 If you want to specify your time-series as a function of the variable <tt>t</tt>,
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 196 then you can use the following constructor:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 197 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 198 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 199 a = ao(plist(<span class="string">'tsfcn'</span>, <span class="string">'t.^2 + t'</span>, ...
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 200 <span class="string">'fs'</span>, 10, <span class="string">'nsecs'</span>, 1000))
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 201 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 202 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 203 You specify the function of t with the key 'tsfcn', then give the sample
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 204 rate and the number of seconds. If you run this command you should see the output:
Daniele Nicolodi <nicolodi@science.unitn.it>
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diff
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+ − 205 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 206 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 207 >> a = ao(plist('tsfcn', 't.^2 + t', 'fs', 10, 'nsecs', 1000))
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 208 M: constructing from plist
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 209 ----------- ao 01: a -----------
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+ − 210
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 211 name: ''
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 212 data: (0,0) (0.1,0.11) (0.2,0.24) (0.3,0.39) (0.4,0.56) ...
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 213 -------- tsdata 01 ------------
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 214
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 215 fs: 10
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 216 x: [10000 1], double
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 217 y: [10000 1], double
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 218 dx: [0 0], double
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 219 dy: [0 0], double
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 220 xunits: [s]
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 221 yunits: []
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 222 nsecs: 1000
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 223 t0: 1970-01-01 00:00:00.000
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 224 -------------------------------
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 225
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 226 hist: ao / ao / SId: fromTSfcn.m,v 1.22 2010/07/28 16:31:01 ingo Exp S-->SId: ao.m,v 1.346 2011/05/07 06:56:17 mauro Exp S
Daniele Nicolodi <nicolodi@science.unitn.it>
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+ − 227 description:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 228 UUID: d01615d6-82ad-4736-8a0e-4096dc023149
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parents:
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+ − 229 --------------------------------
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 230 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 231 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 232 You can write any valid MATLAB expression as a function of <tt>t</tt>.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 233 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 234 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 235 Plists can be reused, of course. Suppose we define a recipe for an AO as
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 236 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 237 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 238 pl = plist(<span class="string">'tsfcn'</span>, <span class="string">'randn(size(t))'</span>, <span class="string">'fs'</span>, 10, <span class="string">'nsecs'</span>, 1000)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 239 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 240 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 241 then we can make repeated AOs from this recipe:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 242 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 243 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 244 a1 = ao(pl)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 245 a2 = ao(pl)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 246 <span class="comment">% Or use the random factory:</span>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 247 <span class="comment">% a = ao.randn(nsecs, fs)</span>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 248 a3 = ao.randn(1000, 10)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 249 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 250 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 251 Here we have made three AOs with different random white-noise data vectors.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 252 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 253 <br>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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+ − 254 <h2>Digression: plotting the data</h2>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 255 <br>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 256 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 257 To plot the data in the AO, you can use the intelligent plotting method, <tt>iplot</tt>.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 258 For example, type in the MATLAB terminal:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 259 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 260 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 261 a1.iplot
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 262 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 263 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 264 and you should see a plot like the one below.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 265 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 266 <img src="images/ltpda_training_1/topic1/iplot1.png" alt="iplot example 1" border="1">
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 267 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 268 We can make a more interesting plot if we first specify some of the properties
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 269 of the AOs. For example, type the following commands to set the names and
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 270 Y units of the two AOs we made earlier:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 271 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 272 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 273 a1.setName
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 274 a2.setName
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 275 setYunits(a1,a2,<span class="string">'N'</span>)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 276 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 277 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 278 Now plot both time-series together with:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 279 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 280 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 281 iplot(a1,a2)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 282 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 283 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 284 and you shoud see a plot like the following:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 285 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 286 <img src="images/ltpda_training_1/topic1/iplot2.png" alt="iplot example 2" border="1">
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 287 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 288 <table cellspacing="0" class="note" summary="Note" cellpadding="5" border="1">
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 289 <tr width="90%">
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 290 <td>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 291 Calling the <tt>setName</tt> method with no input argument causes the AO to be
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 292 named with the variable name.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 293 </td>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 294 </tr>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 295 </table>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 296 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 297 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 298 <tt>iplot</tt> has many configurable parameters which are (mostly) documented in the help.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 299 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 300 <br>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 301 <!-- Time-series waveform -->
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 302 <h2>Times-series AO from built in waveforms</h2>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 303 <br>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 304 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 305 MATLAB has various functions for creating standard waveforms, for example,
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 306 sine waves, square waves, and saw-tooth signals. These are available as
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 307 convenient AO constructors. For example suppose we want to create a
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 308 square-wave pulse train with a 30% duty cycle at 2Hz sampled at
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 309 100Hz lasting for 5s, then we can do
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 310 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 311 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 312 sw = ao(plist(<span class="string">'waveform'</span>, <span class="string">'square wave'</span>, <span class="string">'f'</span>, 2, <span class="string">'duty'</span>, 30, ...
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 313 <span class="string">'fs'</span>, 100, <span class="string">'nsecs'</span>, 5))
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 314 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 315 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 316 If you run that command and plot the result, you should see the square wave you were expecting:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 317 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 318 <img src="images/ltpda_training_1/topic1/iplot_squarewave.png" alt="iplot squarewave" border="1">
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 319 <p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 320 You can construct various different waveforms, but each has different parameters
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 321 to set. The help of the AO method details the possibilities (<tt>help ao -> click on "Parameters Description" -> select "From Window"</tt>); here is the relevant extract:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 322 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 323 <div class="fragment"><pre>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 324 'waveform' - a waveform description (see options below).
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 325
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 326 You can also specify additional parameters:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 327 'fs' - sampling frequency [default: 10 Hz]
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 328 'nsecs' - length in seconds [default: 10 s]
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 329 't0' - time-stamp of the first data sample [default time(0)]
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 330
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 331 and, for the following waveform types:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 332 'sine wave' - 'A', 'f', 'phi', 'nsecs', 'toff'
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 333 (can be vectors for sum of sine waves)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 334 'A' - Amplitude of the wave
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 335 'f' - Frequency of the wave
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 336 'phi' - Phase of the eave
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 337 'nsecs' - Number of seconds (in seconds)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 338 'toff' - Offset of the wave (in seconds)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 339 'gaps' - Instead of defining an offset it is possible to
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 340 define a gap (in seconds) before the sine wave.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 341 'noise' - 'type' (can be 'Normal' or 'Uniform')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 342 'sigma' specify the standard deviation
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 343 'chirp' - 'f0', 'f1', 't1' (help chirp)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 344 'gaussian pulse' - 'f0', 'bw' (help gauspuls)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 345 'square wave' - 'f', 'duty' (help square)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 346 'sawtooth' - 'f', 'width' (help sawtooth)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 347
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 348 You can also specify the initial time (t0) associated with
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 349 the time-series by passing a parameter 't0' with a value
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 350 that is a time object.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 351 </pre></div>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 352
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 353
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 354
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 355
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 356
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 357 </p>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 358
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 359 <br>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
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+ − 360 <br>
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