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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
+   "http://www.w3.org/TR/1999/REC-html401-19991224/loose.dtd">
+
+<html lang="en">
+<head>
+  <meta name="generator" content=
+  "HTML Tidy for Mac OS X (vers 1st December 2004), see www.w3.org">
+  <meta http-equiv="Content-Type" content=
+  "text/html; charset=us-ascii">
+
+  <title>Interpolating data (LTPDA Toolbox)</title>
+  <link rel="stylesheet" href="docstyle.css" type="text/css">
+  <meta name="generator" content="DocBook XSL Stylesheets V1.52.2">
+  <meta name="description" content=
+  "Presents an overview of the features, system requirements, and starting the toolbox.">
+  </head>
+
+<body>
+  <a name="top_of_page" id="top_of_page"></a>
+
+  <p style="font-size:1px;">&nbsp;</p>
+
+  <table class="nav" summary="Navigation aid" border="0" width=
+  "100%" cellpadding="0" cellspacing="0">
+    <tr>
+      <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td>
+
+      <td valign="baseline" align="right"><a href=
+      "resample.html"><img src="b_prev.gif" border="0" align=
+      "bottom" alt="Resampling data"></a>&nbsp;&nbsp;&nbsp;<a href=
+      "spikeclean.html"><img src="b_next.gif" border="0" align=
+      "bottom" alt="Spikes reduction in data"></a></td>
+    </tr>
+  </table>
+
+  <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Interpolating data</h1>
+  <hr>
+  
+  <p>
+	<h2>Description</h2>
+<p>
+  Interpolation of data can be done in the LTPDA Toolbox by means of
+  <a href="matlab:doc('ao/interp')"><tt>interp</tt></a>.
+  This function interpolates the values in the input AO(s) at new values specified by the
+  input parameter list.
+</p>
+<p>
+  <a href="matlab:doc('ao/interp')"><tt>Interp</tt></a> overloads <tt>interp1</tt> function of
+  Matlab Signal Processing Toolbox for AOs.
+</p>
+<br>
+<br>
+<h2>Syntax</h2>
+</p>
+<div class="fragment"><pre>
+    <br>
+    b = interpolate(a, pl)
+  </pre>
+</div>
+<h2>Parameters</h2>
+<p>
+  The following parameters can be set in the method:
+  <ul>
+    <li> <tt>vertices</tt> - specify the new vertices to interpolate on </li>
+    <li> <tt>method</tt> - four methods are available for interpolating data</li>
+    <ul>
+      <li> 'nearest'- nearest neighbor interpolation </li>
+      <li> 'linear' - linear interpolation </li>
+      <li> 'spline' - spline interpolation (default option) 	</li>
+      <li> 'cubic' - shape-preserving piecewise cubic interpolation </li>
+    </ul>
+  </ul>
+  For details see <tt>interp1</tt> help of Matlab.
+</p>
+<p>
+  <h2>Examples</h2>
+</p>
+<p>
+  1. Interpolation of a sequence of random data at original sampling rate of 1 Hz
+  by a factor of 10 with no initial phase.
+</p>
+<div class="fragment"><pre>
+    <br>
+    <span class="comment">% Signal generation</span>
+    pl = plist(<span class="string">'tsfcn'</span>,<span class="string">'sin(2*pi*1.733*t)'</span>,...
+    <span class="string">'fs'</span>,1,<span class="string">'nsecs'</span>,10,...
+    <span class="string">'yunits'</span>,<span class="string">'V'</span>);
+    x = ao(pl);
+    <span class="comment">% Interpolate on a new time vector</span>
+    t = linspace(0, x.data.nsecs - 1/x.data.fs, 2*len(x));
+    pl_spline  = plist(<span class="string">'vertices'</span>,t);
+    pl_nearest = plist(<span class="string">'vertices'</span>,t,<span class="string">'method'</span>,<span class="string">'nearest'</span>);
+    x_spline   = interp(x,pl_spline);
+    x_nearest  = interp(x,pl_nearest);
+    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>}, ...
+    <span class="string">'LineColors'</span>, {<span class="string">'k'</span>, <span class="string">'r'</span>}));
+  </pre>
+</div>
+<br>
+<br>
+<img src="images/interp.png" alt="Interpolate" border="0">
+
+  </p>
+
+  <br>
+  <br>
+  <table class="nav" summary="Navigation aid" border="0" width=
+  "100%" cellpadding="0" cellspacing="0">
+    <tr valign="top">
+      <td align="left" width="20"><a href="resample.html"><img src=
+      "b_prev.gif" border="0" align="bottom" alt=
+      "Resampling data"></a>&nbsp;</td>
+
+      <td align="left">Resampling data</td>
+
+      <td>&nbsp;</td>
+
+      <td align="right">Spikes reduction in data</td>
+
+      <td align="right" width="20"><a href=
+      "spikeclean.html"><img src="b_next.gif" border="0" align=
+      "bottom" alt="Spikes reduction in data"></a></td>
+    </tr>
+  </table><br>
+
+  <p class="copy">&copy;LTP Team</p>
+</body>
+</html>