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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 2.2//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>Nonlinear noise reduction in a data stream</TITLE><META NAME="description" CONTENT="Nonlinear noise reduction in a data stream"><META NAME="keywords" CONTENT="TiseanHTML"><META NAME="resource-type" CONTENT="document"><META NAME="distribution" CONTENT="global"><LINK REL=STYLESHEET HREF="TiseanHTML.css"></HEAD><BODY bgcolor=ffffff LANG="EN" > <A NAME="tex2html324" HREF="node26.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="icons/next_motif.gif"></A> <A NAME="tex2html322" HREF="node22.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="icons/up_motif.gif"></A> <A NAME="tex2html318" HREF="node24.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="icons/previous_motif.gif"></A> <BR><B> Next:</B> <A NAME="tex2html325" HREF="node26.html">Lyapunov exponents</A><B>Up:</B> <A NAME="tex2html323" HREF="node22.html">Nonlinear noise reduction</A><B> Previous:</B> <A NAME="tex2html319" HREF="node24.html">Locally projective nonlinear noise </A><BR> <P><H2><A NAME="SECTION00063000000000000000">Nonlinear noise reduction in a data stream</A></H2><P><A NAME="subsecnoise_stream"> </A>In Ref. [<A HREF="citation.html#Filter">65</A>], a number of modifications of the above procedure havebeen discussed which enable the use of nonlinear projective filtering in a datastream. In this case, only points in the past are available for the formationof neighborhoods. Therefore the neighbor search strategy has to be modified.Since the algorithm is described in detail in Ref. [<A HREF="citation.html#Filter">65</A>], we only givean example of its use here. Figure <A HREF="node25.html#figmcgnoise"><IMG ALIGN=BOTTOM ALT="gif" SRC="icons/cross_ref_motif.gif"></A> shows the result ofnonlinear noise reduction on a magneto-cardiogram (see Figs. <A HREF="node6.html#figmcgd"><IMG ALIGN=BOTTOM ALT="gif" SRC="icons/cross_ref_motif.gif"></A> and <A HREF="node10.html#figmcg_pc"><IMG ALIGN=BOTTOM ALT="gif"SRC="icons/cross_ref_motif.gif"></A>) with the program<tt>noise</tt> (no longer part of TISEAN). The same program has also beenused successfully for the extraction of the fetal ECG [<A HREF="citation.html#fetal2">66</A>].<P><P><blockquote><A NAME="5428"> </A><IMG WIDTH=337 HEIGHT=279 ALIGN=BOTTOM ALT="figure1311" SRC="img100.gif"><BR><STRONG>Figure:</STRONG> <A NAME="figmcgnoise"> </A> Real time nonlinear projective filtering of a magneto-cardiogram time series. The top panel shows the unfiltered data. Bottom: Two iterations were done using projections from <I>m</I>=10 down to <I>q</I>=2 dimensions (delay 0.01 s). Neighborhoods were limited to a radius of 0.1 units (0.05 in the second iteration) and to maximally 200 points. Neighbors were only sought up to 5 s back in time. Thus the first 5 s of data are not filtered optimally and are not shown here. Since the output of each iteration leaps behind its input by one delay window the last 0.2 s cannot be processed given the data in the upper panel.<BR></blockquote><P><HR><A NAME="tex2html324" HREF="node26.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="icons/next_motif.gif"></A> <A NAME="tex2html322" HREF="node22.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="icons/up_motif.gif"></A> <A NAME="tex2html318" HREF="node24.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="icons/previous_motif.gif"></A> <BR><B> Next:</B> <A NAME="tex2html325" HREF="node26.html">Lyapunov exponents</A><B>Up:</B> <A NAME="tex2html323" HREF="node22.html">Nonlinear noise reduction</A><B> Previous:</B> <A NAME="tex2html319" HREF="node24.html">Locally projective nonlinear noise </A><P><ADDRESS><I>Thomas Schreiber <BR>Wed Jan 6 15:38:27 CET 1999</I></ADDRESS></BODY></HTML>⌨️ 快捷键说明
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