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<html><head><title>Nonlinear noise reduction in a data stream</title></head><body bgcolor="#ffffff"><h3>Nonlinear noise reduction in a data stream</h3>  <font color=blue><tt>noise -m# -q# -r# -K# [-d# -k# -T# -w# -s# -l# -x# -c# -h] </tt><em> file</em></font><blockquote>   <br> 	<font color=blue><tt> -m  </tt></font>embedding dimension   <br> 	<font color=blue><tt> -q  </tt></font>dimension of manifold projected on   <br> 	<font color=blue><tt> -r  </tt></font>diameter of neighbourhood   <br> 	<font color=blue><tt> -K  </tt></font>maximal number of neighbours   <br> 	<font color=blue><tt> -d  </tt></font>delay (1)   <br> 	<font color=blue><tt> -k  </tt></font>minimal number of neighbours (m)   <br> 	<font color=blue><tt> -T  </tt></font>maximal time in the past considered as neighbours (all)   <br> 	<font color=blue><tt> -w  </tt></font>range represented by each centre (e/4)   <br> 	<font color=blue><tt> -s  </tt></font>stack depth (500)   <br> 	<font color=blue><tt> -l  </tt></font>number of points (whole file)   <br> 	<font color=blue><tt> -x  </tt></font>number of values to be skipped (0)   <br> 	<font color=blue><tt> -c  </tt></font>column to be read (1 or <font color=blue><em>file</em></font>,#)   <br> 	<font color=blue><tt> -h  </tt></font>show this message</blockquote>Performs one iteration of nonlinear projective noise reduction. This routinecan work in a pipeline without having to read in the whole data first. Outputfile (the cleaned sequence) is <font color=blue><em>file</em>_c</font>. As a second column, thedifference between original and cleaned sequence is printed. <p><font color=red><b>Note:</b></font> This routine does not use all available neighbours and may therefore be fasterthan the original program <a href="project.html">project</a>.<p>This routine is based on<blockquote>   T. Schreiber and M. Richter<br>   <a href="http://www.theorie.physik.uni-wuppertal.de/Chaos/schreiber/myrefs/filter.ps"><em>Nonlinear projective filtering in a data stream</em></a>      <br>preprint (1998).</blockquote><p><hr><h3>Usage example</h3>Try also just running: <font color=blue><tt>gnuplot noise.gnu</tt></font> in the <font color=blue><tt>wuppertal/docs/</tt></font> directory.<p><pre>&gt; <font color=blue><tt>henon -l10000 &gt; data</tt></font>&gt; <font color=blue><tt>addnoise -v0.02 data</tt></font>&gt; <font color=blue><tt>cat data_noisy | noise -m7 -q2 -r0.3 -K500 \</tt></font>&gt; <font color=blue><tt> | noise -m7 -q2 -r0.2 -K500 &gt; data_noisy_c</tt></font>gnuplot&gt; <font color=blue><tt>plot '&lt; cat data_noisy | embed -d1'</tt></font>gnuplot&gt; <font color=blue><tt>plot '&lt; cat data_noisy_c | embed -d1'</tt></font></pre><p><IMG SRC="addnoise.gif" alt="noisy data"> <IMG SRC="noise.gif" alt="cleaned data"><p><a href="../../contents.html">Table of Contents</a> * <a href="../../index.html" target="_top">TISEAN home</a></body></html>

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