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Import.
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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11 <title>Interpolating data (LTPDA Toolbox)</title>
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35
36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Interpolating data</h1>
37 <hr>
38
39 <p>
40 <h2>Description</h2>
41 <p>
42 Interpolation of data can be done in the LTPDA Toolbox by means of
43 <a href="matlab:doc('ao/interp')"><tt>interp</tt></a>.
44 This function interpolates the values in the input AO(s) at new values specified by the
45 input parameter list.
46 </p>
47 <p>
48 <a href="matlab:doc('ao/interp')"><tt>Interp</tt></a> overloads <tt>interp1</tt> function of
49 Matlab Signal Processing Toolbox for AOs.
50 </p>
51 <br>
52 <br>
53 <h2>Syntax</h2>
54 </p>
55 <div class="fragment"><pre>
56 <br>
57 b = interpolate(a, pl)
58 </pre>
59 </div>
60 <h2>Parameters</h2>
61 <p>
62 The following parameters can be set in the method:
63 <ul>
64 <li> <tt>vertices</tt> - specify the new vertices to interpolate on </li>
65 <li> <tt>method</tt> - four methods are available for interpolating data</li>
66 <ul>
67 <li> 'nearest'- nearest neighbor interpolation </li>
68 <li> 'linear' - linear interpolation </li>
69 <li> 'spline' - spline interpolation (default option) </li>
70 <li> 'cubic' - shape-preserving piecewise cubic interpolation </li>
71 </ul>
72 </ul>
73 For details see <tt>interp1</tt> help of Matlab.
74 </p>
75 <p>
76 <h2>Examples</h2>
77 </p>
78 <p>
79 1. Interpolation of a sequence of random data at original sampling rate of 1 Hz
80 by a factor of 10 with no initial phase.
81 </p>
82 <div class="fragment"><pre>
83 <br>
84 <span class="comment">% Signal generation</span>
85 pl = plist(<span class="string">'tsfcn'</span>,<span class="string">'sin(2*pi*1.733*t)'</span>,...
86 <span class="string">'fs'</span>,1,<span class="string">'nsecs'</span>,10,...
87 <span class="string">'yunits'</span>,<span class="string">'V'</span>);
88 x = ao(pl);
89 <span class="comment">% Interpolate on a new time vector</span>
90 t = linspace(0, x.data.nsecs - 1/x.data.fs, 2*len(x));
91 pl_spline = plist(<span class="string">'vertices'</span>,t);
92 pl_nearest = plist(<span class="string">'vertices'</span>,t,<span class="string">'method'</span>,<span class="string">'nearest'</span>);
93 x_spline = interp(x,pl_spline);
94 x_nearest = interp(x,pl_nearest);
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>}, ...
96 <span class="string">'LineColors'</span>, {<span class="string">'k'</span>, <span class="string">'r'</span>}));
97 </pre>
98 </div>
99 <br>
100 <br>
101 <img src="images/interp.png" alt="Interpolate" border="0">
102
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