histo3.html

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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"                "http://www.w3.org/TR/REC-html40/loose.dtd"><html><head>  <title>Description of histo3</title>  <meta name="keywords" content="histo3">  <meta name="description" content="HISTO3 calculates histogram and performs data compression">  <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">  <meta name="generator" content="m2html &copy; 2003 Guillaume Flandin">  <meta name="robots" content="index, follow">  <link type="text/css" rel="stylesheet" href="../m2html.css"></head><body><a name="_top"></a><div><a href="../index.html">Home</a> &gt;  <a href="index.html">tsa</a> &gt; histo3.m</div><!--<table width="100%"><tr><td align="left"><a href="../index.html"><img alt="<" border="0" src="../left.png">&nbsp;Master index</a></td><td align="right"><a href="index.html">Index for tsa&nbsp;<img alt=">" border="0" src="../right.png"></a></td></tr></table>--><h1>histo3</h1><h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2><div class="box"><strong>HISTO3 calculates histogram and performs data compression</strong></div><h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2><div class="box"><strong>function [R,tix]=histo3(Y) </strong></div><h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2><div class="fragment"><pre class="comment"> HISTO3 calculates histogram and performs data compression
  R = HISTO3(Y)     R is a struct with th fields        R.X  are the bin-values        R.H  is the frequency of occurence of value X       R.N  are the number of valid (not NaN) samples 

 Data compression can be performed in this way
       [R,tix] = histo3(Y) 
              is the compression step

    R.tix provides a compressed data representation. 
    R.compressionratio estimates the compression ratio

     R.X(tix) and R.X(R.tix) 
        reconstruct the orginal signal (decompression) 

 The effort (in memory and speed) for compression is O(n*log(n)).
 The effort (in memory and speed) for decompression is O(n) only. 
 see also: <a href="histo.html" class="code" title="function [H,X]=histo(Y,Mode)">HISTO</a>, <a href="histo2.html" class="code" title="function R=histo2(Y)">HISTO2</a>, <a href="histo3.html" class="code" title="function [R,tix]=histo3(Y)">HISTO3</a>, <a href="histo4.html" class="code" title="function [R,tix]=histo4(Y)">HISTO4</a> REFERENCE(S):  C.E. Shannon and W. Weaver &quot;The mathematical theory of communication&quot; University of Illinois Press, Urbana 1949 (reprint 1963).</pre></div><!-- crossreference --><h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>This function calls:<ul style="list-style-image:url(../matlabicon.gif)"></ul>This function is called by:<ul style="list-style-image:url(../matlabicon.gif)"><li><a href="demoperf.html" class="code" title="">demoperf</a>	Demonstrates the much higher performance</li><li><a href="histo.html" class="code" title="function [H,X]=histo(Y,Mode)">histo</a>	HISTO calculates histogram for each column</li><li><a href="invest1.html" class="code" title="function [AutoCov,AutoCorr,ARPMX,E,C,s]=invest1(Y,Pmax,D);">invest1</a>	First Investigation of a signal (time series) - interactive</li><li><a href="sinvest1.html" class="code" title="">sinvest1</a>	SINVEST1 shows the parameters of a time series calculated by INVEST1</li></ul><!-- crossreference --><hr><address>Generated on Tue 17-Aug-2004 00:13:21 by <strong><a href="http://www.artefact.tk/software/matlab/m2html/">m2html</a></strong> &copy; 2003</address></body></html>

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