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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 07 Dec 2011 17:24:36 +0100
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1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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2 "http://www.w3.org/TR/1999/REC-html401-19991224/loose.dtd">
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3
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4 <html lang="en">
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5 <head>
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6 <meta name="generator" content=
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7 "HTML Tidy for Mac OS X (vers 1st December 2004), see www.w3.org">
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8 <meta http-equiv="Content-Type" content=
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9 "text/html; charset=us-ascii">
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10
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11 <title>Resampling a time-series AO (LTPDA Toolbox)</title>
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12 <link rel="stylesheet" href="docstyle.css" type="text/css">
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13 <meta name="generator" content="DocBook XSL Stylesheets V1.52.2">
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14 <meta name="description" content=
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15 "Presents an overview of the features, system requirements, and starting the toolbox.">
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16 </head>
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17
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18 <body>
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19 <a name="top_of_page" id="top_of_page"></a>
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20
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21 <p style="font-size:1px;">&nbsp;</p>
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22
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23 <table class="nav" summary="Navigation aid" border="0" width=
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24 "100%" cellpadding="0" cellspacing="0">
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25 <tr>
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26 <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td>
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27
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28 <td valign="baseline" align="right"><a href=
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29 "ltpda_training_topic_2_2.html"><img src="b_prev.gif" border="0" align=
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30 "bottom" alt="Upsampling a time-series AO"></a>&nbsp;&nbsp;&nbsp;<a href=
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31 "ltpda_training_topic_2_4.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Interpolation of a time-series AO"></a></td>
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33 </tr>
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34 </table>
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35
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36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Resampling a time-series AO</h1>
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37 <hr>
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38
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39 <p>
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40 <p>
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41 Resampling is the process of changing the sampling rate of data. The method <tt>ao/resample</tt></a>
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42 changes the sampling rate of the input AOs to the desired output sampling frequency by performing band-limited
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43 interpolation, or interpolation.
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44 </p>
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45 <p>
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46 If the ratio of the input and the desired output sample rate can be expressed as an integer ratio P/Q where both
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47 P and Q then band-limited interpolation can be performed. In this case, the data-series
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48 is upsampled (by inserting zeros) and then a low-pass filter is applied at the
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49 original Nyquist frequency.
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50 </p>
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51 <p>
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52 The <tt>ao/resample</tt></a> method can be called with the syntax:
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53 </p>
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54 <div class="fragment"><pre>
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55 b = resample(a, pl)
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56 </pre>
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57 </div>
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58 <p>
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59 and can accept the following parameters:
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60 <table cellspacing="0" class="body" cellpadding="2" border="0" width="80%">
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61 <colgroup>
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62 <col width="25%"/>
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63 <col width="75%"/>
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64 </colgroup>
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65 <thead>
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66 <tr valign="top">
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67 <th class="categorylist">Key</th>
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68 <th class="categorylist">Description</th>
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69 </tr>
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70 </thead>
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71 <tbody>
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72 <!-- Key 'N' -->
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73 <tr valign="top">
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74 <td bgcolor="#f3f4f5">
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75 <p><tt>FSOUT</tt></p>
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76 </td>
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77 <td bgcolor="#f3f4f5">
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78 <p>The desired output frequency (must be positive and integer)</p>
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79 </td>
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80 </tr>
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81 <!-- Key 'FILTER' -->
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82 <tr valign="top">
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83 <td bgcolor="#f3f4f5">
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84 <p><tt>FILTER</tt></p>
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85 </td>
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86 <td bgcolor="#f3f4f5">
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87 <p>The filter to apply in the resampling process</p>
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88 </td>
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89 </tr>
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90 </tbody>
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91 </table>
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92 </p>
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93 <h2>Example 1</h2>
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94 <p>
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95 Here we will resample a sequence of random data from the original sampling rate of 1 Hz to
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96 an output sampling of 50 Hz.
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97 </p>
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98 <div class="fragment"><pre>
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99 pl = plist(<span class="string">'name'</span>, <span class="string">'None'</span>, <span class="string">'tsfcn'</span>, <span class="string">'randn(size(t))'</span>,<span class="string">'nsecs'</span>,100,<span class="string">'fs'</span>,1,<span class="string">'yunits'</span>,<span class="string">'m'</span>);
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100 x = ao(pl)
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101 pl_re = plist(<span class="string">'fsout'</span>, 50);
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102 x_re = resample(x, pl_re); <span class="comment">% resample the input AO (x) to obtain the resampled output AO (y)</span>
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103 iplot(x, x_re, plist(<span class="string">'XRanges'</span>, [10 20], ...
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104 <span class="string">'Markers'</span>, {<span class="string">'o'</span>, <span class="string">'.'</span>}, ...
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105 <span class="string">'LineStyles'</span>, {<span class="string">'-'</span>, <span class="string">'none'</span>})) <span class="comment">% plot original and resampled data</span>
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106 </pre>
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107 </div>
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108
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109 <img src="images/ltpda_training_1/topic2/re1.png" alt="Resample" border="3">
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110
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111
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112
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113
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114
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115 </p>
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116
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117 <br>
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118 <br>
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119 <table class="nav" summary="Navigation aid" border="0" width=
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120 "100%" cellpadding="0" cellspacing="0">
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121 <tr valign="top">
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122 <td align="left" width="20"><a href="ltpda_training_topic_2_2.html"><img src=
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123 "b_prev.gif" border="0" align="bottom" alt=
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124 "Upsampling a time-series AO"></a>&nbsp;</td>
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125
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126 <td align="left">Upsampling a time-series AO</td>
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127
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128 <td>&nbsp;</td>
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129
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130 <td align="right">Interpolation of a time-series AO</td>
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131
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132 <td align="right" width="20"><a href=
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133 "ltpda_training_topic_2_4.html"><img src="b_next.gif" border="0" align=
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134 "bottom" alt="Interpolation of a time-series AO"></a></td>
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135 </tr>
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136 </table><br>
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137
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138 <p class="copy">&copy;LTP Team</p>
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139 </body>
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140 </html>