xc2.html

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<head>
<title>
xc2
</title>
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<h1 align=center>Description of the program: <font color=Blue>xc2
</font>
</h1>
<hr>
Cross-correlation integral of two data sets (i.e. two columns
in a ssingle file)
in 2 to <font color=Red>M</font> embedding dimensions.
Together with the (auto-)correlation intergrals of each of the two
sets, this gives an impression of their similarity or dissimilarity. 
If the minimal number of centers <font color=Red>n</font> is small,
the program is fast but the results suffer from large statistical
fluctuations on the large length scales. Apart from statistical
fluctuations, the results are invariant under the exchange of the
sequence of the two files.
<p>
As a special case, it is possible (but somewhat inefficient) to compute an
ordinary correlation integral by taking the two sets to be the same.
This can be done by selecting the same column twice, for example 
<font color=blue><tt> -c1,1 </tt></font>.

<hr>
<h2 align=center>Usage:</h2>
<center>
<font color=Red>xc2 -M# -n# -t# [other options] file </font>
<p>
Everything not being a valid option will be interpreted as a potential
datafile name. 
<p>
Possible options are:
<p>
<table border=2>
<tr>
<th>Option
<th>Description
<th>Default
</tr>
<tr bgcolor="pink">
<th>-M#
<td> maximal embedding dimension
<td> <font color=Red>to be specified!</font>
</tr>
<tr bgcolor="pink">
<th>-n#
<td> minimal number of centers
<td> <font color=Red>to be specified!</font>
</tr>
<tr bgcolor="pink">
<th>-t#
<td> minimal time separation
<td> <font color=Red>to be specified!</font>
</tr>
<tr>
<th>-d#
<td> delay for the embedding
<td> 1
</tr>
<tr>
<th>-N#
<td> maximal number of pairs  
<td> 1000
</tr>
<tr>
<th>-##
<td> number of length scale values
<td> 2 per octave
</tr>
<tr>
<th>-r#
<td> minimal length scale
<td> smallest distance of points in 2 dimensions
</tr>
<tr>
<th>-R#
<td> maximal length scale 
<td> MAX(xmax-xmin,ymax-ymin)
</tr>
<tr>
<th>-l#
<td> maximal number of values to read from files
<td> read whole file
</tr>
<tr>
<th>-x#
<td> number of lines to be skipped at the beginning
<td> 0
</tr>
<tr>
<th>-c#[,#]
<td> <a href="../general.html#columns" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#columns">columns to be read</a>
<td> 1,2
</tr>
<tr>
<th>-o#
<td> <a href="../general.html#outfile" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#outfile">output file name</a>
<td> file_xc2<br>
 where mm is the embedding dimension.
</tr>
<tr>
<th>-V#
<td> <a href="../general.html#verbosity" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#verbosity">verbosity level</a>
<td> 0 (= report only fatal errors)
</tr>
<tr>
<th>-h
<td> show these options
<td> none
</tr>
</table>
</center>
<hr>
<h2 align=center>Description of the Output:</h2>
Output: files  <font color=Red>outfile_mm</font> for each embedding
dimension between mm=2 and mm=M, containing in the second column the
fraction of pairs of points with distance smaller than the value
reportet in the first column.

<hr>
View the <a href="../../source_f/xc2.f" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/source_f/xc2.f">FORTRAN source</a>.
<hr>
See also <a href="../../../../../tppmsgs/msgs0.htm#38" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/c2.html">c2</a> 
 and <a href="d2.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/dresden/d2.html">d2</a>
<hr>
<a href="../contents.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/contents.html">Table of Contents</a> * <a href="../../index.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/index.html" target="_top">TISEAN home</a>
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