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<title>Description of gendata</title>
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<div><a href="../index.html">Home</a> &gt; <a href="index.html">.</a> &gt; gendata.m</div>
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<h1>gendata
</h1>
<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>[y,epsilon,alpha,eta] = gendata(T, ssf, a0)</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 [y,epsilon,alpha,eta] = gendata(T, ssf, a0) </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"> [y,epsilon,alpha,eta] = gendata(T, ssf, a0)
generates random data of the length T for the given state space form
and initial state</pre></div>
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<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)">
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<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre>0001 <span class="comment">% [y,epsilon,alpha,eta] = gendata(T, ssf, a0)</span>
0002 <span class="comment">%</span>
0003 <span class="comment">% generates random data of the length T for the given state space form</span>
0004 <span class="comment">% and initial state</span>
0005
0006 <span class="comment">% $Id: gendata.m 532 2005-11-30 13:51:33Z kamenik $</span>
0007 <span class="comment">% Copyright 2005, Ondra Kamenik</span>
0008
0009 <a name="_sub0" href="#_subfunctions" class="code">function [y,epsilon,alpha,eta] = gendata(T, ssf, a0)</a>
0010
0011 m = size(ssf.T, 1);
0012 p = size(ssf.Z, 1);
0013 r = size(ssf.R, 2);
0014
0015 cholH = chol(ssf.H);
0016 cholQ = chol(ssf.Q);
0017
0018 epsilon = cholH*randn(p,T);
0019 eta = cholQ*randn(r, T);
0020
0021 y = zeros(p, T);
0022 alpha = zeros(m,T);
0023 alpha(:,1) = a0;
0024
0025 <span class="keyword">for</span> t = 1:T
0026 y(:,t) = ssf.Z*alpha(:,t) + epsilon(:,t);
0027 <span class="keyword">if</span> t ~= T
0028 alpha(:,t+1) = ssf.T*alpha(:,t) + ssf.R*eta(:,t);
0029 <span class="keyword">end</span>
0030 <span class="keyword">end</span></pre></div>
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