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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
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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>Creating Analysis Objects (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 "ao_intro.html"><img src="b_prev.gif" border="0" align=
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30 "bottom" alt="Analysis Objects"></a>&nbsp;&nbsp;&nbsp;<a href=
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31 "ao_save.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Saving Analysis Objects"></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>Creating Analysis Objects</h1>
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37 <hr>
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38
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39 <p>
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40 <p>Analysis objects can be created in MATLAB in many ways. Apart from being created by the many
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41 algorithms in the LTPDA Toolbox, AOs can also be created from initial data or descriptions
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42 of data. The various <i>constructors</i>
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43 are listed in the function help: <a href="matlab:doc('ao')">ao help</a>.</p>
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44
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45 <h3>Examples of creating AOs</h3>
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46
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47 <p>The following examples show some ways to create Analysis Objects.</p>
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48
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49 <ul>
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50 <li><a href="ao_create.html#text">Creating AOs from text files</a></li>
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51 <li><a href="ao_create.html#xml">Creating AOs from XML or MAT files</a></li>
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52 <li><a href="ao_create.html#fcn">Creating AOs from MATLAB functions</a></li>
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53 <li><a href="ao_create.html#tsfcn">Creating AOs from functions of time</a></li>
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54 <li><a href="ao_create.html#window">Creating AOs from window functions</a></li>
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55 <li><a href="ao_create.html#waveform">Creating AOs from waveform descriptions</a></li>
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56 <li><a href="ao_create.html#pzmodel">Creating AOs from pole zero models</a></li>
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57 </ul>
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58
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59 <hr>
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60 <h4><a name="text"></a>Creating AOs from text files.</h4>
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61
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62 <p>Analysis Objects can be created from text files containing two columns of ASCII numbers. Files
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63 ending in '.txt' or '.dat' will be handled as ASCII file inputs. The
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64 first column is taken to be the time instances; the second column is taken to be the amplitude
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65 samples. The created AO is of type <tt>tsdata</tt> with the sample rate set by the difference
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66 between the time-stamps of the first two samples in the file. The name of the resulting AO is
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67 set to the filename (without the file extension). The filename is also stored as a parameter in
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68 the history parameter list. The following code shows this in action:</p>
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69
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70 <div class="fragment"><pre>
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71 >> a = ao(<span class="string">'data.txt'</span>)
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72 ----------- ao 01: data.txt_01_02 -----------
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73
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74 name: data.txt_01_02
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75 data: (0,-1.06421341288933) (0.1,1.60345729812004) (0.2,1.23467914689078) ...
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76 -------- tsdata 01 ------------
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77
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78 fs: 10
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79 x: [100 1], double
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80 y: [100 1], double
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81 dx: [0 0], double
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82 dy: [0 0], double
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83 xunits: [s]
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84 yunits: []
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85 nsecs: 10
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86 t0: 1970-01-01 00:00:00.000
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87 -------------------------------
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88
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89 hist: ao / ao / SId: fromDatafile ... $-->$Id: ao ... S
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90 mdlfile: empty
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91 description:
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92 UUID: e6ccfcb6-da49-4f4c-8c2c-3054fe5d2762
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93 ---------------------------------------------
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94 </pre></div>
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95 <p>As with most constructor calls, an equivalent action can be achieved using an input
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96 <a href="plist_intro.html">Parameter List</a>.</p>
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97
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98 <div class="fragment"><pre>
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99 >> a = ao(plist(<span class="string">'filename'</span>, <span class="string">'data.txt'</span>))
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100 </pre></div>
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101
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102 <hr>
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103 <h4><a name="xml"></a>Creating AOs from XML or .mat files</h4>
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104
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105 <p>AOs can be saved as both XML and .MAT files. As such, they can also be created from these
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106 files.</p>
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107
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108 <div class="fragment"><pre>
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109 >> a = ao(<span class="string">'a.xml'</span>)
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110 ----------- ao 01: a -----------
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111
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112 name: None
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113 data: (0,-0.493009815316451) (0.1,-0.180739356415037) (0.2,0.045841105713705) ...
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114 -------- tsdata 01 ------------
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115
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116 fs: 10
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117 x: [100 1], double
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118 y: [100 1], double
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119 dx: [0 0], double
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120 dy: [0 0], double
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121 xunits: [s]
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122 yunits: []
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123 nsecs: 10
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124 t0: 1970-01-01 00:00:01.000
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125 -------------------------------
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126
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127 hist: ao / ao / SId: fromVals ... $-->$Id: ao ... S
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128 mdlfile: empty
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129 description:
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130 UUID: 2fed6155-6468-4533-88f6-e4b27bc6e1aa
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131 --------------------------------
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132 </pre></div>
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133
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134 <hr>
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135 <h4><a name="fcn"></a>Creating AOs from MATLAB functions</h4>
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136
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137 <p>AOs can be created from any valid MATLAB function which returns a vector or matrix of values.
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138 For such calls, a parameter list is used as input. For example, the following code creates
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139 an AO containing 1000 random numbers:</p>
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140
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141 <div class="fragment"><pre>
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142 >> a = ao(plist(<span class="string">'fcn'</span>, <span class="string">'randn(1000,1)'</span>))
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143 ----------- ao 01: a -----------
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144
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145 name: None
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146 data: -1.28325610460477 -2.32895451628334 0.901931466951714 -1.83563868373519 0.06675 ...
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147 -------- cdata 01 ------------
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148 y: [1000x1], double
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149 dy: [0x0], double
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150 yunits: []
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151 ------------------------------
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152
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153 hist: ao / ao / SId: fromFcn ... $-->$Id ... $
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154 mdlfile: empty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
155 description:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
156 UUID: 0072f8d0-f804-472b-a4aa-e9ec6a8de803
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
157 --------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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158 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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159 <p>Here you can see that the AO is a <tt>cdata</tt> type and the name is set to be the function
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
160 that was input.</p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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161
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
162 <hr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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163 <h4><a name="tsfcn"></a>Creating AOs from functions of time</h4>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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164
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Daniele Nicolodi <nicolodi@science.unitn.it>
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165 <p>AOs can be created from any valid MATLAB function which is a function of the variable
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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166 <tt>t</tt>. For such calls, a parameter list is used as input. For example, the following
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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167 code creates an AO containing sinusoidal signal at 1Hz with some additional Gaussian noise:</p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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168
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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169 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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170 pl = plist();
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Daniele Nicolodi <nicolodi@science.unitn.it>
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171 pl = append(pl, <span class="string">'nsecs'</span>, 100);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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172 pl = append(pl, <span class="string">'fs'</span>, 10);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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173 pl = append(pl, <span class="string">'tsfcn'</span>, <span class="string">'sin(2*pi*1*t)+randn(size(t))'</span>);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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174 a = ao(pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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175 ----------- ao 01: a -----------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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176
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Daniele Nicolodi <nicolodi@science.unitn.it>
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177 name: None
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Daniele Nicolodi <nicolodi@science.unitn.it>
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178 data: (0,1.37694916561229) (0.1,-0.820427237640771) (0.2,1.09228819960292) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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179 -------- tsdata 01 ------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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180
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Daniele Nicolodi <nicolodi@science.unitn.it>
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181 fs: 10
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Daniele Nicolodi <nicolodi@science.unitn.it>
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182 x: [1000 1], double
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
183 y: [1000 1], double
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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184 dx: [0 0], double
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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185 dy: [0 0], double
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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186 xunits: [s]
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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187 yunits: []
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Daniele Nicolodi <nicolodi@science.unitn.it>
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188 nsecs: 100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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189 t0: 1970-01-01 00:00:00.000
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Daniele Nicolodi <nicolodi@science.unitn.it>
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190 -------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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191
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Daniele Nicolodi <nicolodi@science.unitn.it>
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192 hist: ao / ao / SId: fromTSfcn ... $-->$Id: ao ... S
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Daniele Nicolodi <nicolodi@science.unitn.it>
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193 mdlfile: empty
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Daniele Nicolodi <nicolodi@science.unitn.it>
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194 description:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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195 UUID: c0f481cf-4bdd-4a91-bc78-6d34f8222313
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Daniele Nicolodi <nicolodi@science.unitn.it>
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196 --------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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197 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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198 <p>Here you can see that the AO is a <tt>tsdata</tt> type, as you would expect. Also note that you
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Daniele Nicolodi <nicolodi@science.unitn.it>
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199 need to specify the sample rate (<tt>fs</tt>) and the number of seconds of data you would like
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Daniele Nicolodi <nicolodi@science.unitn.it>
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200 to have (<tt>nsecs</tt>).</p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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201
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Daniele Nicolodi <nicolodi@science.unitn.it>
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202 <hr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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203 <h4><a name="window"></a>Creating AOs from window functions</h4>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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204
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Daniele Nicolodi <nicolodi@science.unitn.it>
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205 <p>The LTPDA Toolbox contains a class for designing spectral windows
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Daniele Nicolodi <nicolodi@science.unitn.it>
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206 (see <a href="specwin.html">Spectral Windows</a>). A spectral window object can
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Daniele Nicolodi <nicolodi@science.unitn.it>
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207 also be used to create an Analysis Object as follows:</p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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208
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Daniele Nicolodi <nicolodi@science.unitn.it>
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209 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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210 >> w = specwin(<span class="string">'Hanning'</span>, 1000)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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211 ------ specwin/1 -------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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212 type: Hanning
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Daniele Nicolodi <nicolodi@science.unitn.it>
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213 alpha: 0
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Daniele Nicolodi <nicolodi@science.unitn.it>
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214 psll: 31.5
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Daniele Nicolodi <nicolodi@science.unitn.it>
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215 rov: 50
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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216 nenbw: 1.5
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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217 w3db: 1.4382
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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218 flatness: -1.4236
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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219 ws: 500
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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220 ws2: 375.000000000001
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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221 win: [0 9.86957193144233e-06 3.94778980919441e-05 8.88238095955174e-05 0.0001579 ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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222 version: SId: specwin.m,v 1.67 2009/09/01 09:25:24 ingo Exp S
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Daniele Nicolodi <nicolodi@science.unitn.it>
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223 ------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
224
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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225 >> a = ao(w)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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226 ----------- ao 01: ao(Hanning) -----------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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227
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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228 name: ao(Hanning)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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229 data: 0 9.86957193144233e-06 3.94778980919441e-05 8.88238095955174e-05 0.0001579 ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
230 -------- cdata 01 ------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
231 y: [1x1000], double
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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232 dy: [0x0], double
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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233 yunits: []
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
234 ------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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235
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
236 hist: ao / ao / SId: fromSpecWin ... $-->$Id: ao ... S
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
237 mdlfile: empty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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238 description:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
239 UUID: ea1a9036-b9f5-4bdb-b3a3-211e9d697060
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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240 ------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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241 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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242 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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243 It is also possible to pass the information about the window as a plist to the ao constructor.
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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244 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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245 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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246 >> ao(plist(<span class="string">'win'</span>, <span class="string">'Hanning'</span>, <span class="string">'length'</span>, 1000))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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247 ----------- ao 01: ao(Hanning) -----------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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248
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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249 name: ao(Hanning)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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250 data: 0 9.86957193144233e-06 3.94778980919441e-05 8.88238095955174e-05 0.0001579 ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
251 -------- cdata 01 ------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
252 y: [1x1000], double
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
253 dy: [0x0], double
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
254 yunits: []
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
255 ------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
256
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
257 hist: ao / ao / SId: fromSpecWin ... -->$Id: ao ... S
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
258 mdlfile: empty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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259 description:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
260 UUID: 5b81f67a-45b9-43f8-a74a-bc5161fd718f
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
261 ------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
262 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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263
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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264 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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265 The example code above creates a Hanning window object with 1000 points. The call to the AO
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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266 constructor then creates a <tt>cdata</tt> type AO with 1000 points. This AO can then be multiplied
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
267 against other AOs in order to window the data.
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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268 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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269
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
270 <hr>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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271 <h4><a name="waveform"></a>Creating AOs from waveform descriptions</h4>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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272
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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273 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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274 MATLAB contains various functions for creating different waveforms, for example,
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Daniele Nicolodi <nicolodi@science.unitn.it>
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275 <tt>square</tt>, <tt>sawtooth</tt>. Some of these functions can be called upon to create
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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276 Analysis Objects. The following code creates an AO with a sawtooth waveform:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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277 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
278
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
279 <div class="fragment"><pre>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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diff changeset
280 pl = plist();
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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281 pl = append(pl, <span class="string">'fs'</span>, 100);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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282 pl = append(pl, <span class="string">'nsecs'</span>, 5);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
283 pl = append(pl, <span class="string">'waveform'</span>, 'Sawtooth');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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284 pl = append(pl, <span class="string">'f'</span>, 1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
285 pl = append(pl, <span class="string">'width'</span>, 0.5);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
286
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
287 asaw = ao(pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
288 ----------- ao 01: Sawtooth -----------
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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289
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
290 name: Sawtooth
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
291 data: (0,-1) (0.01,-0.96) (0.02,-0.92) (0.03,-0.88) (0.04,-0.84) ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
292 -------- tsdata 01 ------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
293
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Daniele Nicolodi <nicolodi@science.unitn.it>
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diff changeset
294 fs: 100
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
295 x: [500 1], double
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
296 y: [500 1], double
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
297 dx: [0 0], double
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
298 dy: [0 0], double
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
299 xunits: [s]
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
300 yunits: []
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
301 nsecs: 5
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
302 t0: 1970-01-01 00:00:00.000
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
303 -------------------------------
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
304
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
305 hist: ao / ao / SId: fromWaveform ... $-->$Id: ao ... S
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
306 mdlfile: empty
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
307 description:
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
308 UUID: cb76c866-ee3f-47e6-bb29-290074666e43
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
309 ---------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
310 </pre></div>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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311 <p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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312 You can call the <tt>iplot</tt> function to view the resulting waveform:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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313 </p>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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314 <div class="fragment"><pre>
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315 iplot(asaw);
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316 </pre></div>
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317 <img src="images/ao_create_sawtooth.png" alt="Sawtooth waveform" border="3" width="600px">
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318
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319 <hr>
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320 <h4><a name="pzmodel"></a>Creating AOs from pole zero models</h4>
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321
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322 <p>
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323 When generating an AO from a pole zero model, the noise generator function is called.
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324 This a method to generate arbitrarily long time series with a prescribed spectral density.
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325 The algorithm is based on the following paper:
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326 </p>
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327 <p>Franklin, Joel N.:
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328 <i> Numerical simulation of stationary and non-stationary gaussian
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329 random processes </i>, SIAM review, Volume {<b> 7</b>}, Issue 1, page 68--80, 1965.
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330 </p>
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331 <p>
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332 The Document <i> Generation of Random time series with prescribed spectra </i> by Gerhard Heinzel (S2-AEI-TN-3034) <br> corrects a mistake in the aforesaid paper and describes the practical implementation.
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333 The following code creates an AO with a time series having a prescribed spectral density,
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334 defined by the input pole zero model:
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335 </p>
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336
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337 <div class="fragment"><pre>
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338 f1 = 5;
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339 f2 = 10;
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340 f3 = 1;
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341 gain = 1;
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342 fs = 10; <span class="comment">%sampling frequancy</span>
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343 nsecs = 100; <span class="comment">%number of seconds to be generated</span>
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344
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345 p = [pz(f1) pz(f2)];
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346 z = [pz(f3)];
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347 pzm = pzmodel(gain, p, z);
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348 a = ao(pzm, nsecs, fs)
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349 ----------- ao 01: noisegen(None) -----------
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350
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351 name: noisegen(None)
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352 data: (0,9.20287001568168) (0.1,-3.88425345108961) (0.2,6.31042718242658) ...
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353 -------- tsdata 01 ------------
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354
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355 fs: 10
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356 x: [1000 1], double
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357 y: [1000 1], double
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358 dx: [0 0], double
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359 dy: [0 0], double
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360 xunits: [s]
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361 yunits: []
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362 nsecs: 100
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363 t0: 1970-01-01 00:00:00.000
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364 -------------------------------
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365
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366 hist: ao / ao / SId: fromPzmodel ... $-->$Id: ao ... S
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367 mdlfile: empty
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368 description:
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369 UUID: 4a89d910-8672-475f-91cd-4fcc4b52a6b4
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370 ---------------------------------------------
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371 </pre></div>
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372 <p>
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373 You can call the <tt>iplot</tt> function to view the resulting noise.
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374 </p>
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375 <div class="fragment"><pre>
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376 iplot(a);
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377 </pre></div>
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378 <img src="images/ao_create_niose.png" alt="Random time series" border="3" width="600px">
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379
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380
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381 </p>
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382
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383 <br>
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384 <br>
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385 <table class="nav" summary="Navigation aid" border="0" width=
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386 "100%" cellpadding="0" cellspacing="0">
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387 <tr valign="top">
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388 <td align="left" width="20"><a href="ao_intro.html"><img src=
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389 "b_prev.gif" border="0" align="bottom" alt=
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390 "Analysis Objects"></a>&nbsp;</td>
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391
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392 <td align="left">Analysis Objects</td>
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393
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394 <td>&nbsp;</td>
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395
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396 <td align="right">Saving Analysis Objects</td>
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397
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398 <td align="right" width="20"><a href=
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399 "ao_save.html"><img src="b_next.gif" border="0" align=
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400 "bottom" alt="Saving Analysis Objects"></a></td>
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401 </tr>
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402 </table><br>
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403
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404 <p class="copy">&copy;LTP Team</p>
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405 </body>
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406 </html>