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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +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>Interpolating data (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 "resample.html"><img src="b_prev.gif" border="0" align=
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30 "bottom" alt="Resampling data"></a>&nbsp;&nbsp;&nbsp;<a href=
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31 "spikeclean.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Spikes reduction in data"></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>Interpolating data</h1>
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37 <hr>
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38
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39 <p>
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40 <h2>Description</h2>
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41 <p>
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42 Interpolation of data can be done in the LTPDA Toolbox by means of
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43 <a href="matlab:doc('ao/interp')"><tt>interp</tt></a>.
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44 This function interpolates the values in the input AO(s) at new values specified by the
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45 input parameter list.
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46 </p>
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47 <p>
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48 <a href="matlab:doc('ao/interp')"><tt>Interp</tt></a> overloads <tt>interp1</tt> function of
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49 Matlab Signal Processing Toolbox for AOs.
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50 </p>
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51 <br>
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52 <br>
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53 <h2>Syntax</h2>
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54 </p>
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55 <div class="fragment"><pre>
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56 <br>
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57 b = interpolate(a, pl)
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58 </pre>
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59 </div>
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60 <h2>Parameters</h2>
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61 <p>
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62 The following parameters can be set in the method:
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63 <ul>
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64 <li> <tt>vertices</tt> - specify the new vertices to interpolate on </li>
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65 <li> <tt>method</tt> - four methods are available for interpolating data</li>
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66 <ul>
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67 <li> 'nearest'- nearest neighbor interpolation </li>
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68 <li> 'linear' - linear interpolation </li>
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69 <li> 'spline' - spline interpolation (default option) </li>
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70 <li> 'cubic' - shape-preserving piecewise cubic interpolation </li>
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71 </ul>
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72 </ul>
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73 For details see <tt>interp1</tt> help of Matlab.
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74 </p>
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75 <p>
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76 <h2>Examples</h2>
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77 </p>
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78 <p>
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79 1. Interpolation of a sequence of random data at original sampling rate of 1 Hz
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80 by a factor of 10 with no initial phase.
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81 </p>
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82 <div class="fragment"><pre>
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83 <br>
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84 <span class="comment">% Signal generation</span>
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85 pl = plist(<span class="string">'tsfcn'</span>,<span class="string">'sin(2*pi*1.733*t)'</span>,...
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86 <span class="string">'fs'</span>,1,<span class="string">'nsecs'</span>,10,...
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87 <span class="string">'yunits'</span>,<span class="string">'V'</span>);
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88 x = ao(pl);
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89 <span class="comment">% Interpolate on a new time vector</span>
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90 t = linspace(0, x.data.nsecs - 1/x.data.fs, 2*len(x));
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91 pl_spline = plist(<span class="string">'vertices'</span>,t);
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92 pl_nearest = plist(<span class="string">'vertices'</span>,t,<span class="string">'method'</span>,<span class="string">'nearest'</span>);
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93 x_spline = interp(x,pl_spline);
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94 x_nearest = interp(x,pl_nearest);
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95 iplot([x x_spline x_nearest], plist(<span class="string">'Markers'</span>, {<span class="string">'x'</span>, <span class="string">'o'</span>, <span class="string">'+'</span>}, ...
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96 <span class="string">'LineColors'</span>, {<span class="string">'k'</span>, <span class="string">'r'</span>}));
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97 </pre>
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98 </div>
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99 <br>
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100 <br>
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101 <img src="images/interp.png" alt="Interpolate" border="0">
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102
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103 </p>
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104
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105 <br>
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106 <br>
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107 <table class="nav" summary="Navigation aid" border="0" width=
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108 "100%" cellpadding="0" cellspacing="0">
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109 <tr valign="top">
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110 <td align="left" width="20"><a href="resample.html"><img src=
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111 "b_prev.gif" border="0" align="bottom" alt=
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112 "Resampling data"></a>&nbsp;</td>
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113
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114 <td align="left">Resampling data</td>
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115
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116 <td>&nbsp;</td>
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117
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118 <td align="right">Spikes reduction in data</td>
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119
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120 <td align="right" width="20"><a href=
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121 "spikeclean.html"><img src="b_next.gif" border="0" align=
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122 "bottom" alt="Spikes reduction in data"></a></td>
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123 </tr>
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124 </table><br>
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125
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126 <p class="copy">&copy;LTP Team</p>
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127 </body>
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128 </html>