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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 2.0//EN"><!--Converted with LaTeX2HTML 96.1-h (September 30, 1996) by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds --><HTML><HEAD><TITLE>Various Examples</TITLE><META NAME="description" CONTENT="Various Examples"><META NAME="keywords" CONTENT="Surrogates"><META NAME="resource-type" CONTENT="document"><META NAME="distribution" CONTENT="global"><LINK REL=STYLESHEET HREF="Surrogates.css"></HEAD><BODY bgcolor=#ffffff LANG="EN" > <A NAME="tex2html293" HREF="node23.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="next_motif.gif"></A> <A NAME="tex2html291" HREF="Surrogates.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="up_motif.gif"></A> <A NAME="tex2html285" HREF="node21.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="previous_motif.gif"></A>   <BR><B> Next:</B> <A NAME="tex2html294" HREF="node23.html">Including non-stationarity</A><B>Up:</B> <A NAME="tex2html292" HREF="Surrogates.html">Surrogate time series</A><B> Previous:</B> <A NAME="tex2html286" HREF="node21.html">The curse of accuracy</A><BR> <P><H1><A NAME="SECTION00060000000000000000">Various Examples</A></H1><P>In this section, we want to give a number of applications of the constrainedrandomisation approach. If the constraints consist only of the Fourieramplitudes and the single time probability distribution, the iterativelyrefined, amplitude adjusted surrogates&nbsp;[<A HREF="node36.html#surrowe">30</A>] discussed inSec.&nbsp;<A HREF="node12.html#seciterative">4.3</A> are usually sufficient if the end point artefact canbe controlled and convergence is satisfactory. Even the slightest extension ofthese constraints makes it impossible to solve the inverse problem directly andwe have to follow the more general combinatorial approach discussed in theprevious section.  The following examples are meant to illustrate how this canbe carried out in practice.<P><BR> <HR><UL><A NAME="CHILD_LINKS">&#160;</A><LI> <A NAME="tex2html295" HREF="node23.html#SECTION00061000000000000000">Including non-stationarity</A><LI> <A NAME="tex2html296" HREF="node24.html#SECTION00062000000000000000">Multivariate data</A><LI> <A NAME="tex2html297" HREF="node25.html#SECTION00063000000000000000">Uneven sampling</A><LI> <A NAME="tex2html298" HREF="node26.html#SECTION00064000000000000000">Spike trains</A></UL><HR><A NAME="tex2html293" HREF="node23.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="next_motif.gif"></A> <A NAME="tex2html291" HREF="Surrogates.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="up_motif.gif"></A> <A NAME="tex2html285" HREF="node21.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="previous_motif.gif"></A>   <BR><B> Next:</B> <A NAME="tex2html294" HREF="node23.html">Including non-stationarity</A><B>Up:</B> <A NAME="tex2html292" HREF="Surrogates.html">Surrogate time series</A><B> Previous:</B> <A NAME="tex2html286" HREF="node21.html">The curse of accuracy</A><P><ADDRESS><I>Thomas Schreiber <BR>Mon Aug 30 17:31:48 CEST 1999</I></ADDRESS></BODY></HTML>

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