endtoend.html
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<head><title>Determine end-to-end mismatch before making surrogate data</title></head>
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<h3>Determine end-to-end mismatch before making surrogate data</h3>
<font color=blue><tt>endtoend [-o </tt><em>outfile</em><tt> -l# -x# -m# -c#[,#]
-V# -h] </tt><em> file</em>
</font>
<blockquote>
<br> <font color=blue><tt> -o </tt></font><a href="../general.html#outfile" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#outfile">output file name</a>, just <font color=blue><tt> -o </tt></font>means <font color=blue><em>file</em></font><font color=blue><tt>_end</tt></font>
<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> -m </tt></font>number of <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> (1)
<br> <font color=blue><tt> -c </tt></font><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> (1)
<br> <font color=blue><tt> -V </tt></font><a href="../general.html#verbosity" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#verbosity">verbosity level</a> (0 = only fatal errors)
<br> <font color=blue><tt> -h </tt></font>show this message
</blockquote>
Determine the effect of an end-to-end mismatch on the autocorrelation
structure for various sub-sequence lenths. It is important to avoid <a href="../surropaper/node14.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/surropaper/node14.html">jumps and
phase slips</a> that occur when the data is periodically continued when making
Fourier based surrogates, e.g. with <a href="surrogates.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/surrogates.html">surrogates</a>.
<p>
The mismatch in value is <a href="../surropaper/node34.html#endtoend" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/surropaper/node34.html#endtoend">measured</a> by
<pre>
/ \ 2
| x(1)-x(N) |
\ /
d = __________________
jump __
\ / _ \ 2
| | x(n)-x |
/__ \ /
</pre>
and the phase slip by
<pre>
/ \ 2
| (x(2)-x(1))-(x(N)-x(N-1)) |
\ /
d = _________________________________
slip __ .
\ / _ \ 2
| | x(n)-x |
/__ \ /
</pre>
The weighted mismatch is then
<pre>
j*d + (1-j)*d .
jump slip
</pre>
In the multivariate case, the values of d are computed for each channel
seperately and then averaged.
<p>
The sub-sequence length is successively decreased, only considering lengths
which can be factorized with factors 2, 3 and 5 (that is what <a
href="surrogates.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/surrogates.html">surrogates</a> can handle). For each length, the optimal
time offset is determined and a result is printed whenever an improvement was
found. You can then use the <font color=blue><tt> -x </tt></font> and
<font color=blue><tt> -l </tt></font> options to <a href="choose.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/choose.html">choose</a> that sub-sequence for
<a href="surrogates.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/surrogates.html">surrogates</a>.
<p>
<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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