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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
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Daniele Nicolodi <nicolodi@science.unitn.it>
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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>IFO/Temperature Example - Simulation (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_4_4_2.html"><img src="b_prev.gif" border="0" align=
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30 "bottom" alt="By defining filter properties"></a>&nbsp;&nbsp;&nbsp;<a href=
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31 "ltpda_training_topic_5.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Topic 5 - Model fitting"></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>IFO/Temperature Example - Simulation</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 We now come back to the IFO/Temperature working example. Our interest here is not
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42 to add more tools to the data analysis chain that you've been developing but
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 to create a simple toy model that allows you to reproduce the steps done up
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 to now but with synthetic data.
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45 </p>
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46 <p>
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47 The problem is shown schematically in the figure below. We will generate temperature and interferometer
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48 noisy data by applying a filter (<b>TMP</b> and <b>IFO</b>) to white noise data
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49 (<b>WN1</b> and <b>WN2</b>). We will then add a temperature coupling (<b>K2RAD</b>) to the
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50 interferometer and from the measured interferometer and temperature data we will then estimate
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51 the temperature to interferometer coupling.
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52 </p>
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53
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54 <p align="center">
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55 <img src="images/ltpda_training_1/topic4/IFO2TSimulation.png" alt="temperature substraction scheme" border="1" >
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56 </p>
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57 <p>
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58 Since we've been through the same steps that you need to apply here in the previous
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59 section we will give here the step by step description of the task and let you
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60 play with the models.
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61 </p>
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62
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63 <h2> Build the models<h2>
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64 <p>
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65 We need three models: one to generate temperature-like data, another modelling the
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66 interferometer and a third one acting as the K-to-rad transfer function.
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67 </p>
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68
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69 <h3> STEP 1: Build a temperature noise PZMODEL with the following properties<h4>
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70
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71 <table cellspacing="0" class="body" cellpadding="2" border="0" width="50%">
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72 <colgroup>
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73 <col width="15%"/>
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74 <col width="35%"/>
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75 </colgroup>
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76 <thead>
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77 <tr valign="top">
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78 <th class="categorylist">Key</th>
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79 <th class="categorylist">Value</th>
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80 </tr>
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81 </thead>
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82 <tbody>
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83 <!-- Key 'filename' -->
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84 <tr valign="top">
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85 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 <p><tt><span class="string">'name'</span></tt></p>
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87 </td>
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88 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 <span class="string">'TMP'</span>
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90 </td>
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91 </tr>
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92 <!-- Key 'filename' -->
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93 <tr valign="top">
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94 <td bgcolor="#f3f4f5">
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95 <p><tt><span class="string">'ounits'</span></tt></p>
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96 </td>
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97 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 <span class="string">'K'</span>
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99 </td>
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100 </tr>
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101 <!-- Key 'filename' -->
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102 <tr valign="top">
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103 <td bgcolor="#f3f4f5">
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104 <p><tt>GAIN</tt></p>
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105 </td>
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106 <td bgcolor="#f3f4f5">
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107 10
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108 </td>
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109 </tr>
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110 <!-- Key 'filename' -->
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111 <tr valign="top">
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112 <td bgcolor="#f3f4f5">
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113 <p><tt>POLE 1</tt></p>
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114 </td>
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115 <td bgcolor="#f3f4f5">
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116 1e-5
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117 </td>
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118 </tbody>
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119 </table>
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120 <p>
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121 For example, this few lines would do the job
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122 </p>
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123 <div class="fragment"><pre>
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124 TMP = pzmodel(10,1e-5,[]);
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125 TMP.setOunits(<span class="string">'K'</span>)
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126 TMP.setName(<span class="string">'TMP'</span>)
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127 </pre></div>
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128
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129 <h3> STEP 2: Build a interferometer noise PZMODEL with the following properties<h4>
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130
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131 <table cellspacing="0" class="body" cellpadding="2" border="0" width="50%">
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132 <colgroup>
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133 <col width="15%"/>
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134 <col width="35%"/>
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135 </colgroup>
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136 <thead>
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137 <tr valign="top">
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138 <th class="categorylist">Key</th>
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139 <th class="categorylist">Value</th>
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140 </tr>
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141 </thead>
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142 <tbody>
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143 <!-- Key 'filename' -->
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144 <tr valign="top">
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145 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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146 <p><tt><span class="string">'name'</span></tt></p>
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147 </td>
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148 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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149 <span class="string">'IFO'</span>
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150 </td>
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151 </tr>
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152 <!-- Key 'filename' -->
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153 <tr valign="top">
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154 <td bgcolor="#f3f4f5">
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155 <p><tt><span class="string">'ounits'</span></tt></p>
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156 </td>
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157 <td bgcolor="#f3f4f5">
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158 <span class="string">'rad'</span>
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159 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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160 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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161 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
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162 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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163 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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164 <p><tt>GAIN</tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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165 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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166 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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167 1e-3
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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168 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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169 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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170 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
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171 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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172 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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173 <p><tt>POLE 1</tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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174 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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175 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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176 0.4
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Daniele Nicolodi <nicolodi@science.unitn.it>
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177 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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178 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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179 </tbody>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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180 </table>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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181
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182
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Daniele Nicolodi <nicolodi@science.unitn.it>
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183 <h3> STEP 3: Build temperature to interferometer coupling PZMODEL with the following properties<h4>
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184
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185 <table cellspacing="0" class="body" cellpadding="2" border="0" width="50%">
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186 <colgroup>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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187 <col width="15%"/>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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188 <col width="35%"/>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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189 </colgroup>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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190 <thead>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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191 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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192 <th class="categorylist">Key</th>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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193 <th class="categorylist">Value</th>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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194 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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195 </thead>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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196 <tbody>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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197 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
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198 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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199 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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200 <p><tt><span class="string">'name'</span></tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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201 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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202 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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203 <span class="string">'K2RAD'</span>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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204 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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205 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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206 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
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207 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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208 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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209 <p><tt><span class="string">'iunits'</span></tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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210 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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211 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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212 <span class="string">'K'</span>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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213 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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214 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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215 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
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216 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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217 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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218 <p><tt><span class="string">'ounits'</span></tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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219 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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220 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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221 <span class="string">'rad'</span>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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222 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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223 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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224 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
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225 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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226 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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227 <p><tt>GAIN</tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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228 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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229 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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230 1e-1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
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231 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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232 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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233 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
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234 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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235 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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236 <p><tt>POLE 1</tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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237 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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238 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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239 5e-4
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Daniele Nicolodi <nicolodi@science.unitn.it>
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240 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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241 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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242 </tbody>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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243 </table>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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244
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Daniele Nicolodi <nicolodi@science.unitn.it>
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245 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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246 You can take a look at your models. Since we are interested in the projection of temperature
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Daniele Nicolodi <nicolodi@science.unitn.it>
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247 into interferometric data, we can plot the response of TMP*K2RAD against the IFO
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Daniele Nicolodi <nicolodi@science.unitn.it>
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248 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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249 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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250 pl = plist(<span class="string">'f1'</span>,1e-5,<span class="string">'f2'</span>,0.01)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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251 resp(K2RAD*TMP,IFO,pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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252 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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253 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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254 <img src="images/ltpda_training_1/topic4/Ifo2TempEx_T4_1.png" alt="inteferometer data" border="1" >
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Daniele Nicolodi <nicolodi@science.unitn.it>
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255 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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256
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Daniele Nicolodi <nicolodi@science.unitn.it>
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257 <h2>Discretize the models<h2>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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258 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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259 Now discretize the models at fs = 1Hz using the <tt>miir</tt> constructor.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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260 After that you will obtain three digital filters
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Daniele Nicolodi <nicolodi@science.unitn.it>
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261 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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262 <h3> STEP 4: Discretize the three transfer (<b>TMP</b>,<b>IFO</b>,<b>K2RAD</b>) with the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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263 MIIR constructor<h3>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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264 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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265 For example, the model related to temperature noise would be discretized like this:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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266 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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267 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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268 TMPd = miir(TMP,plist(<span class="string">'fs'</span>,1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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269 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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270 <h2> Generate white noise data<h2>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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271 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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272 We will need two initial white noise time series, <b>WN1</b> and <b>WN2</b>, that we will use as a seed
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Daniele Nicolodi <nicolodi@science.unitn.it>
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273 to apply our filters and get noise shaped time series.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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274 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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275 <h3> STEP 5: Generate white noise with the AO constructor<h3>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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276 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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277 You will need the ao constructor for that. You could use the following settings
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Daniele Nicolodi <nicolodi@science.unitn.it>
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278 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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279 <table cellspacing="0" class="body" cellpadding="2" border="0" width="50%">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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diff changeset
280 <colgroup>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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diff changeset
281 <col width="15%"/>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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282 <col width="35%"/>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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diff changeset
283 </colgroup>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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284 <thead>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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diff changeset
285 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
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286 <th class="categorylist">Key</th>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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287 <th class="categorylist">Value</th>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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288 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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289 </thead>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
290 <tbody>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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291 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
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diff changeset
292 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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293 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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294 <p><tt><span class="string">'name'</span></tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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295 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
296 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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297 <span class="string">'WN1'</span>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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298 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
299 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
300 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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301 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
302 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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303 <p><tt><span class="string">'tsfcn'</span></tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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304 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
305 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
306 <span class="string">'randn(size(t))'</span>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
307 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
308 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
309 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
310 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
311 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
312 <p><tt><span class="string">'fs'</span></tt></p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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313 </td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
314 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
315 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
316 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
317 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
318 <!-- Key 'filename' -->
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
319 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
320 <td bgcolor="#f3f4f5">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
321 <p><tt><span class="string">'nsecs'</span></tt></p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
322 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
323 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
324 250000
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
325 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
326 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
327 </tbody>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
328 </table>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
329
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
330 <table cellspacing="0" class="body" cellpadding="2" border="0" width="50%">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
331 <colgroup>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
332 <col width="15%"/>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
333 <col width="35%"/>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
334 </colgroup>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
335 <thead>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
336 <tr valign="top">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
337 <th class="categorylist">Key</th>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
338 <th class="categorylist">Value</th>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
339 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
340 </thead>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
341 <tbody>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
342 <!-- Key 'filename' -->
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
343 <tr valign="top">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
344 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
345 <p><tt><span class="string">'name'</span></tt></p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
346 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
347 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
348 <span class="string">'WN2'</span>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
349 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
350 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
351 <!-- Key 'filename' -->
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
352 <tr valign="top">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
353 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
354 <p><tt><span class="string">'tsfcn'</span></tt></p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
355 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
356 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
357 <span class="string">'randn(size(t))'</span>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
358 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
359 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
360 <!-- Key 'filename' -->
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
361 <tr valign="top">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
362 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
363 <p><tt><span class="string">'fs'</span></tt></p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
364 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
365 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
366 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
367 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
368 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
369 <!-- Key 'filename' -->
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
370 <tr valign="top">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
371 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
372 <p><tt><span class="string">'nsecs'</span></tt></p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
373 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
374 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
375 250000
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
376 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
377 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
378 </tbody>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
379 </table>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
380
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
381
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
382 <h2>Generate the noise data streams<h2>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
383 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
384 For each noise source you will need to apply the filter that you have designed to
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
385 the white noise data:
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
386 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
387
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
388 <h3> STEP 6: Filter white noise WN1 with the TMPd filter </h3>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
389 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
390 For example, following our notation:
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
391 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
392 <div class="fragment"><pre>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
393 T = filter(WN1,TMPd);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
394 </pre></div>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
395 <h3> STEP 7: Filter white noise WN2 with the IFOd filter</h3>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
396 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
397 Temperature and interferometric noise are uncorrelated, so we need to use here the
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
398 second noise time series <b>WN2</b>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
399 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
400 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
401 For example, following our notation:
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
402 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
403 <div class="fragment"><pre>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
404 IFO = filter(WN2,IFOd);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
405 </pre></div>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
406 <h3> STEP 8: Filter white noise WN1 with the TMPd and the K2RADd filter</h3>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
407 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
408 In this case you need to apply both filters in serial, you can do this in one command
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
409 by using the 'bank' property of the <tt>filter</tt> method.
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
410 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
411 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
412 <table cellspacing="0" class="note" summary="Note" cellpadding="5" border="1">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
413 <tr width="90%">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
414 <td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
415 Hint: you can input a vector of filters into the <tt>filter</tt> method and
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
416 ask it to filter the data in 'parallel' or in 'serial' (the one we are interested
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
417 here) by doing the following
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
418 <div class="fragment"><pre>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
419 b = filter(<b>WN1</b>,[<b>TMPd</b> <b>K2RADd</b>],plist(<span class="string">'bank'</span>,<span class="string">'serial'</span>));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
420 </pre></div>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
421
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
422 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
423 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
424 </table>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
425 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
426 <h3> STEP 9: Add the IFO noise to the K2RAD noise</h3>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
427 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
428 At this point the IFO represents the purely interferometric noise and the K2RAD the
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
429 contribution to interferometric noise coming from temperature. You need to add both to
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
430 get the final interferometric data. This only requires to add both AOs.
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
431 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
432
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
433 <h2>Perform the noise projection<h3>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
434 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
435 Here we will reproduce the main steps performed in topic 3 analysis: power spectral and
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
436 transfer function estimation.
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
437 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
438
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
439 <h3> STEP 10: Split the data streams </h3>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
440 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
441 We will do the analysis with data in the region going from 1e5 to 2e5 seconds to avoid
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
442 initial transients. You must then split your two data streams introducing the following
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
443 parameters in the <tt>split</tt> method.
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
444 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
445
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
446 <table cellspacing="0" class="body" cellpadding="2" border="0" width="50%">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
447 <colgroup>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
448 <col width="15%"/>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
449 <col width="35%"/>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
450 </colgroup>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
451 <thead>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
452 <tr valign="top">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
453 <th class="categorylist">Key</th>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
454 <th class="categorylist">Value</th>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
455 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
456 </thead>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
457 <tbody>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
458 <!-- Key 'filename' -->
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
459 <tr valign="top">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
460 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
461 <p><tt><span class="string">'times'</span></tt></p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
462 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
463 <td bgcolor="#f3f4f5">
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
464 [1e5 2e5]
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
465 </td>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
466 </tr>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
467 </tbody>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
468 </table>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
469 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
470 After the splitting you must have two data streams that plot together should look like the
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
471 ones below. The code should be similar to one in the following lines
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
472
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
473 <div class="fragment"><pre>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
474 Ts = split(T,plist(<span class="string">'times'</span>,[1e5 2e5]))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
475 Ts.setName(<span class="string">'Temperature'</span>)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
476 IFOs = split(IFO_all,plist(<span class="string">'times'</span>,[1e5 2e5]))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
477 IFOs.setName(<span class="string">'Interferometer'</span>)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
478 <span class="comment">% Plot in different panels with 'subplots' options</span>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
479 iplot(Ts,IFOs,plist(<span class="string">'arrangement'</span>,<span class="string">'subplots'</span>))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
480 </pre></div>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
481
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
482 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
483 <img src="images/ltpda_training_1/topic4/Ifo2TempEx_T4_3.png" alt="inteferometer data" border="1" >
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
484 </p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
485
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
486 <h3> STEP 11: Compute power spectral estimates for the temperature and interferometric data </h3>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
487 <p>
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
488 Here you need to apply <tt>lpsd</tt> or <tt>psd</tt> methods. For example:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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489 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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490 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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491 pl = plist(<span class="string">'order'</span>,1,<span class="string">'scale'</span>,<span class="string">'ASD'</span>)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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492 psd_T = lpsd(Ts,pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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493 psd_IFO = lpsd(IFOs,pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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494 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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495 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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496 The resulting spectrum should look like this
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Daniele Nicolodi <nicolodi@science.unitn.it>
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497 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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498 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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499 <img src="images/ltpda_training_1/topic4/Ifo2TempEx_T4_4.png" alt="inteferometer data" width="800px" border="1" >
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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500 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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501
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Daniele Nicolodi <nicolodi@science.unitn.it>
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502 <h3> STEP 12: Compute transfer function estimate for the temperature and interferometric data </h3>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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503 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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504 Here you need to apply <tt>ltfe</tt> or <tt>tfe</tt> methods. For example:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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505 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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506 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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507 T2IFO = ltfe(Ts,IFOs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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508 T2IFO.setName(<span class="string">'Transfer function'</span>)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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509 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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510 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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511 You can now compare the transfer function model with the estimation obtained from the data:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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512 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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513 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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514 pl = plist(<span class="string">'f1'</span>,1e-5,<span class="string">'f2'</span>,1)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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515 iplot(T2IFO,resp(K2RAD,pl))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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516 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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517 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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518 <img src="images/ltpda_training_1/topic4/Ifo2TempEx_T4_5.png" alt="inteferometer data" width="800px" border="1" >
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Daniele Nicolodi <nicolodi@science.unitn.it>
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519 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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520 <h3> STEP 13: Project the temperature noise </h3>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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521 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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522 Reproducing the analysis performed in topic 3 you will be able to project the temperature noise contribution
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Daniele Nicolodi <nicolodi@science.unitn.it>
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523 into interferometric noise. The result obtained should be the one in the figure below and the code you will need
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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524 for that should be similar to this:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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525 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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526
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
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527 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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528 <span class="comment">% Compute projection</span>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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529 Projection = abs(T2IFO).*psd_T;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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530 Projection.simplifyYunits
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Daniele Nicolodi <nicolodi@science.unitn.it>
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531 Projection.setName;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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532 <span class="comment">% Plot against interferometer noise</span>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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533 iplot(psd_IFO,Projection)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
534 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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535
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
536 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
537 <img src="images/ltpda_training_1/topic4/Ifo2TempEx_T4_6.png" alt="inteferometer data" width="800px" border="1" >
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
538 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
539
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
540
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
541
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
542
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
543
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
544
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
545
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
546
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
547
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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548
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
549
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
550
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
551
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
552
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
553
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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554
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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555
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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556 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
557
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
558 <br>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
559 <br>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
560 <table class="nav" summary="Navigation aid" border="0" width=
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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561 "100%" cellpadding="0" cellspacing="0">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
562 <tr valign="top">
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
563 <td align="left" width="20"><a href="ltpda_training_topic_4_4_2.html"><img src=
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
564 "b_prev.gif" border="0" align="bottom" alt=
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
565 "By defining filter properties"></a>&nbsp;</td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
566
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
567 <td align="left">By defining filter properties</td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
568
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
569 <td>&nbsp;</td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
570
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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571 <td align="right">Topic 5 - Model fitting</td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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572
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
573 <td align="right" width="20"><a href=
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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574 "ltpda_training_topic_5.html"><img src="b_next.gif" border="0" align=
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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575 "bottom" alt="Topic 5 - Model fitting"></a></td>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
576 </tr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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577 </table><br>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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578
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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579 <p class="copy">&copy;LTP Team</p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
580 </body>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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581 </html>