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<html><head><title>Nonlinear noise reduction</title></head><body bgcolor="#ffffff"><h3>Nonlinear noise reduction</h3> <font color=blue><tt>project <font color=red>-m# -q# -r# -k#</font> [-i# -o </tt><em>outfile</em><tt> -l# -x# -c# -V# -h] </tt><em> file</em></font><blockquote> <br> <font color=red><tt> -m </tt></font>embedding dimension <br> <font color=red><tt> -q </tt></font>dimension of manifold <br> <font color=red><tt> -r </tt></font>radius of neighbourhoods <br> <font color=red><tt> -k </tt></font>minimal number of neighbours <br> <font color=blue><tt> -i </tt></font>number of iterations (1) <br> <font color=blue><tt> -l </tt></font>number of values to be read (all) <br> <font color=blue><tt> -x </tt></font>number of values to be skipped (0) <br> <font color=blue><tt> -c </tt></font><a href=../general.html#column>column to be read</a> (1 or <font color=blue><em>file</em></font>,#) <br> <font color=blue><tt> -o </tt></font><a href=../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>_c</tt></font>, <font color=blue><em>file</em></font><font color=blue><tt>_cc</tt></font> (etc.) <br> <font color=blue><tt> -V </tt></font><a href=../general.html#verbosity>verbosity level</a> (0 = only fatal errors) <br> <font color=blue><tt> -h </tt></font>show this message<p> <a href=../general.html#verbosity>verbosity level</a> (add what you want):<p> <font color=blue> 1</font> = input/output<br> <font color=blue> 2</font> = state of neighbour search<br></blockquote>Performs <a href="../chaospaper/node24.html">nonlinear projective noise reduction</a>. Output file (the cleanedsequence) is <font color=blue><em>file</em><tt>_c[ccc]</tt></font> (one letter <font color=blue><tt>c</tt></font> per iteration). As a secondcolumn, the difference between original and cleaned sequence is printed.<p><font color=red><b>Note:</b></font> This routine is largely redundant with<a href="../docs_c/ghkss.html">ghkss</a>.<p>This routine is based on<blockquote> P. Grassberger, R. Hegger, H. Kantz, C. Schaffrath, and T. Schreiber, <br><em> On noise reduction methods for chaotic data</em>, <br>Chaos <b>3</b>, 127 (1993); <br>Reprinted in: E. Ott, T. Sauer, and J. A. Yorke, eds., <br><em> Coping With Chaos</em>, Wiley, New York (1994)</blockquote><p><hr><h3>Usage example</h3>Try also just running: <font color=blue><tt>gnuplot project.gnu</tt></font> inthe <font color=blue><tt>examples</tt></font> directory.<p><pre>> <font color=blue><tt>henon -l10000 > data</tt></font>> <font color=blue><tt>addnoise -v0.02 data</tt></font>> <font color=blue><tt>project -m7 -q2 -r0.05 -k20 -i3 data_noisy</tt></font>gnuplot> <font color=blue><tt>plot '< cat data_noisy | delay'</tt></font>gnuplot> <font color=blue><tt>plot '< cat data_noisy_ccc | delay'</tt></font></pre><p><IMG SRC="addnoise.gif" alt="noisy data"> <IMG SRC="project.gif" alt="corrected data"><p><a href="../contents.html">Table of Contents</a> * <a href="../../index.html" target="_top">TISEAN home</a></body></html>⌨️ 快捷键说明
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