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Fix. Default password should be [] not an empty string
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 07 Dec 2011 17:29:47 +0100
parents f0afece42f48
children
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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>Interpolation of 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;">&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_2_3.html"><img src="b_prev.gif" border="0" align=
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30 "bottom" alt="Resampling a time-series AO"></a>&nbsp;&nbsp;&nbsp;<a href=
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31 "ltpda_training_topic_2_5.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Remove trends from a time-series AO"></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>Interpolation of 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 <p>
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41 The <tt>ao</tt> class has a method for interpolating data using different forms of interpolation. This method is
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42 called <tt>ao/interp</tt>.
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43 </p>
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44 <p>
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45 To configure <tt>ao/interp</tt>, use the following parameters:
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46 <table cellspacing="0" class="body" cellpadding="2" border="0" width="80%">
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47 <colgroup>
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48 <col width="25%"/>
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49 <col width="75%"/>
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50 </colgroup>
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51 <thead>
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52 <tr valign="top">
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53 <th class="categorylist">Key</th>
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54 <th class="categorylist">Description</th>
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55 </tr>
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56 </thead>
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57 <tbody>
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58 <!-- Key 'Vertices' -->
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59 <tr valign="top">
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60 <td bgcolor="#f3f4f5">
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61 <p><tt>VERTICES</tt></p>
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62 </td>
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63 <td bgcolor="#f3f4f5">
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64 <p>A new set of vertices (relative to the t0) on which to resample.</p>
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65 </td>
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66 </tr>
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67 <!-- Key 'method' -->
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68 <tr valign="top">
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69 <td bgcolor="#f3f4f5">
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70 <p><tt>METHOD</tt></p>
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71 </td>
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72 <td bgcolor="#f3f4f5">
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73 <p>The method by which to interpolate. Choose from
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74 <ul>
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75 <li>'nearest' - nearest neighbour</li>
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76 <li>'linear' - linear interpolation</li>
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77 <li>'spline' - for spline interpolation</li>
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78 <li>'cubic' - for cubic interpolation</li>
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79 </ul></p>
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80 </td>
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81 </tr>
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82 </tbody>
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83 </table>
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84 </p>
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85 <h2>Example</h2>
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86 <p>
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87 Here we will interpolate a sinusoid singal on to a new time-grid. The result will be to increase the
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88 sample rate by a factor 2.
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89 </p>
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90 <p>
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91 First we create a time-series ao:
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92 </p>
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93 <div class="fragment"><pre>
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94 pl = plist(<span class="string">'Name'</span>, <span class="string">'None'</span>, <span class="string">'tsfcn'</span>,<span class="string">'sin(2*pi*1.733*t)'</span>,<span class="string">'fs'</span>,20,<span class="string">'nsecs'</span>,10,<span class="string">'yunits'</span>,<span class="string">'V'</span>);
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95 x = ao(pl);
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96 </pre>
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97 </div>
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98 <p>
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99 Then we create the new time-grid we want to resample on to.
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100 </p>
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101 <div class="fragment"><pre>
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102 tt = linspace(0, x.nsecs - 1/x.fs, 2*(x.len));
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103 </pre>
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104 </div>
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105 <p>
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106 And finally we can apply our new time-grid to the data using <tt>interp</tt>. We test two of the available interpolation methods:
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107 </p>
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108 <div class="fragment"><pre>
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109 pl_spline = plist(<span class="string">'vertices'</span>,tt);
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110 pl_nearest = plist(<span class="string">'vertices'</span>,tt,<span class="string">'method'</span>,<span class="string">'nearest'</span>);
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111 x_spline = interp(x,pl_spline);
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112 x_nearest = interp(x,pl_nearest);
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113 iplot(x, x_spline, x_nearest, plist(<span class="string">'Markers'</span>, {<span class="string">'o'</span>, <span class="string">'+'</span>, <span class="string">'x'</span>}, ...
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114 <span class="string">'LineColors'</span>, {<span class="string">'k'</span>, <span class="string">'r'</span>, <span class="string">'g'</span>}, ...
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115 <span class="string">'XRanges'</span>, [0 1]));
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116 </pre>
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117 </div>
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118 <img src="images/ltpda_training_1/topic2/interp.png" alt="Interpolate" border="3">
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119 <br>
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120 <br>
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121 <p>
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122 To do the same activity on the workbench, we can use a pipeline like:
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123 </p>
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124 <img src="images/ltpda_training_1/topic2/lwb_interp_1.png" alt="Interpolate" border="3">
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125 <p>
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126 This teaches some important aspects of the use of the workbench, so it's worth stepping through its construction slowly.
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127 </p>
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128 <p>
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129 To build this pipeline:
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130 <ol>
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131 <li>Create a new empty canvas</li>
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132 <li>Add two MATLAB Expression Blocks:
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133 <ol>
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134 <li>Right-click on the canvas and choose "Add Block...->MATBlock". A <tt>MATBlock</tt> is a block which can
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135 evaluate any valid MATLAB expression and pass that to further blocks via its single output.</li>
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136 <li>Select the block, then change its name in the block
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137 property table (located at the top left of the "Properties" tab) to 'fs'. Alternatively, the name of the block can be changed by right-clicking on the block and choosing "Set name"</li>
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138 <li>Double-click the block to get a pop-up dialog where you can enter the MATLAB expression. In this case
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139 just enter the value 20.</li>
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140 <li>Select this 'fs' block and hit <tt>ctrl-d</tt> (<tt>cmd-d</tt> on OS X) to duplicate the block.</li>
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141 <li>Select the new block and change its name to 'nsecs'</li>
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142 <li>Double-click the 'nsecs' block to change its expression. Enter the value 10.</li>
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143 </ol>
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144 </li>
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145 <li>Next we need some additional blocks. Add an <tt>ao</tt> block, two <tt>ao/interp</tt> blocks, an
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146 <tt>ao/x</tt> block, and an <tt>ao/iplot</tt> block.
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147 </li>
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148 <li>Connect up the blocks as shown on the pipeline above.
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149 <table cellspacing="0" class="note" summary="Note" cellpadding="5" border="1">
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150 <tr width="90%">
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151 <td>
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152 To add inputs (or outputs) to a block, right-click on the block and choose "Add input".
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153 </td>
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154 </tr>
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155 </table>
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156 <table cellspacing="0" class="note" summary="Note" cellpadding="5" border="1">
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157 <tr width="90%">
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158 <td>
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159 Double-click an LTPDA Block to get a dialog box to enter a new name for the block.
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160 </td>
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161 </tr>
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162 </table>
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163 <table cellspacing="0" class="note" summary="Note" cellpadding="5" border="1">
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164 <tr width="90%">
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165 <td>
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166 To set the color of the pipes eminating from a particular block, right-click on the block
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167 and choose "Set output pipe color" from the context menu. You can also set the color of
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168 individual pipes by right-clicking on a pipe and choosing "Set color" from the context menu.
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169 </td>
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170 </tr>
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171 </table>
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172 </li>
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173 <li>Next we need to set the various properties of each block. Follow these steps:
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174 <ol>
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175 <li>Set the properties of the AO block to look like:<br>
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176 <img src="images/ltpda_training_1/topic2/lwb_interp_ao_props.png" alt="Interpolate" border="3">
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177 <table cellspacing="0" class="note" summary="Note" cellpadding="5" border="1">
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178 <tr width="90%">
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179 <td>
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180 The single quotes around the <tt>TSFCN</tt> value are not strictly necessary, but it can
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181 avoid problems, for example in the case you have a variable <tt>t</tt> already defined in the MATLAB
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182 workspace.
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183 </td>
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184 </tr>
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185 </table>
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186 </li>
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187 <li>
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188 Set the properties of the first interpolate block (a_spline) to look like:<br>
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189 <img src="images/ltpda_training_1/topic2/lwb_interp_ao_interp1.png" alt="Interpolate" border="3"> <br>
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190 Notice that here we have used the keywords <tt>PORT_1</tt> and <tt>PORT_2</tt> to build the expression. These
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191 refer to the ports of that block, and are connected to the MATLAB Expression Blocks which represent the values
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192 we are interested in.
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193 </li>
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194 <li>
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195 The block <tt>ao/x</tt> has no properties and simply gets the full x-vector from the output of <tt>a_spline</tt>. This
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196 is then passed to the next interpolation block where we use the values as the vertices for the next
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197 interpolation step, thus ensuring that the two interpolations are done on the same grid.
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198 </li>
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199 <li>
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200 Set the properties of the second interpolate block (a_near) to look like:<br>
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201 <img src="images/ltpda_training_1/topic2/lwb_interp_ao_interp2.png" alt="Interpolate" border="3"> <br>
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202 </li>
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203 <li>
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204 Finally, for the <tt>iplot</tt> block, add three new parameters and give then key names and values
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205 like:<br>
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206 <img src="images/ltpda_training_1/topic2/lwb_interp_iplot.png" alt="Interpolate" border="3"> <br>
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207 </li>
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208 </ol>
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209 </li>
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210 </ol>
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211 It should now be possible to run this pipeline and see a plot very similar to the one produced above.
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212 </p>
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213 </p>
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214
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215 <br>
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216 <br>
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217 <table class="nav" summary="Navigation aid" border="0" width=
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218 "100%" cellpadding="0" cellspacing="0">
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219 <tr valign="top">
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220 <td align="left" width="20"><a href="ltpda_training_topic_2_3.html"><img src=
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221 "b_prev.gif" border="0" align="bottom" alt=
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222 "Resampling a time-series AO"></a>&nbsp;</td>
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223
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224 <td align="left">Resampling a time-series AO</td>
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225
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226 <td>&nbsp;</td>
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227
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228 <td align="right">Remove trends from a time-series AO</td>
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229
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230 <td align="right" width="20"><a href=
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231 "ltpda_training_topic_2_5.html"><img src="b_next.gif" border="0" align=
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232 "bottom" alt="Remove trends from a time-series AO"></a></td>
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233 </tr>
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234 </table><br>
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235
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236 <p class="copy">&copy;LTP Team</p>
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237 </body>
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238 </html>