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  • library/doc/html/classbdm_1_1KalmanCh.html

    r472 r538  
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    7272<p> 
    73 <code>#include &lt;<a class="el" href="kalman_8h_source.html">kalman.h</a>&gt;</code> 
     73<code>#include &lt;<a class="el" href="kalman_8h-source.html">kalman.h</a>&gt;</code> 
    7474<p> 
    7575 
     
    8383<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">copy constructor <br></td></tr> 
    8484<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="20a4d4c664e8ac8a3f1bb7b0d11c6d87"></a><!-- doxytag: member="bdm::KalmanCh::set_parameters" ref="20a4d4c664e8ac8a3f1bb7b0d11c6d87" args="(const mat &amp;A0, const mat &amp;B0, const mat &amp;C0, const mat &amp;D0, const chmat &amp;Q0, const chmat &amp;R0)" --> 
    85 void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1KalmanCh.html#20a4d4c664e8ac8a3f1bb7b0d11c6d87">set_parameters</a> (const mat &amp;A0, const mat &amp;B0, const mat &amp;C0, const mat &amp;D0, const <a class="el" href="classchmat.html">chmat</a> &amp;Q0, const <a class="el" href="classchmat.html">chmat</a> &amp;R0)</td></tr> 
     85void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1KalmanCh.html#20a4d4c664e8ac8a3f1bb7b0d11c6d87">set_parameters</a> (const mat &amp;A0, const mat &amp;B0, const mat &amp;C0, const mat &amp;D0, const <a class="el" href="classbdm_1_1chmat.html">chmat</a> &amp;Q0, const <a class="el" href="classbdm_1_1chmat.html">chmat</a> &amp;R0)</td></tr> 
    8686 
    8787<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set parameters with check of relevance. <br></td></tr> 
    8888<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6e169272657ed101f3d128b49c59b890"></a><!-- doxytag: member="bdm::KalmanCh::set_statistics" ref="6e169272657ed101f3d128b49c59b890" args="(const vec &amp;mu0, const chmat &amp;P0)" --> 
    89 void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_statistics</b> (const vec &amp;mu0, const <a class="el" href="classchmat.html">chmat</a> &amp;P0)</td></tr> 
     89void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_statistics</b> (const vec &amp;mu0, const <a class="el" href="classbdm_1_1chmat.html">chmat</a> &amp;P0)</td></tr> 
    9090 
    9191<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1KalmanCh.html#b41fe5540548100b08e1684c3be767b6">bayes</a> (const vec &amp;dt)</td></tr> 
     
    9393<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Here dt = [yt;ut] of appropriate dimensions.  <a href="#b41fe5540548100b08e1684c3be767b6"></a><br></td></tr> 
    9494<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9264fc6b173ecb803d2684b883f32c68"></a><!-- doxytag: member="bdm::KalmanCh::set_est" ref="9264fc6b173ecb803d2684b883f32c68" args="(const vec &amp;mu0, const chmat &amp;P0)" --> 
    95 void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#9264fc6b173ecb803d2684b883f32c68">set_est</a> (const vec &amp;mu0, const <a class="el" href="classchmat.html">chmat</a> &amp;P0)</td></tr> 
     95void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#9264fc6b173ecb803d2684b883f32c68">set_est</a> (const vec &amp;mu0, const <a class="el" href="classbdm_1_1chmat.html">chmat</a> &amp;P0)</td></tr> 
    9696 
    9797<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set estimate values, used e.g. in initialization. <br></td></tr> 
     
    100100 
    101101<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
    102 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c34989b1e53c7d4ecdaea63a95ddbd77"></a><!-- doxytag: member="bdm::KalmanCh::_e" ref="c34989b1e53c7d4ecdaea63a95ddbd77" args="() const" --> 
    103 const <a class="el" href="classbdm_1_1enorm.html">enorm</a>&lt; <a class="el" href="classchmat.html">chmat</a> &gt; *&nbsp;</td><td class="memItemRight" valign="bottom"><b>_e</b> () const</td></tr> 
    104  
    105102<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c788ec6e6c6f5f5861ae8a56d8ede277"></a><!-- doxytag: member="bdm::KalmanCh::__K" ref="c788ec6e6c6f5f5861ae8a56d8ede277" args="()" --> 
    106103mat &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#c788ec6e6c6f5f5861ae8a56d8ede277">__K</a> ()</td></tr> 
     
    145142virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
    146143 
    147 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a conditional density 1-step ahead predictor. <br></td></tr> 
     144<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs conditional density of 1-step ahead predictor <img class="formulaInl" alt="$ f(d_{t+1} |d_{t+h-1}, \ldots d_{t}) $" src="form_131.png">. <br></td></tr> 
    148145<tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr> 
    149146<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ff2d8755ba0b3def927d31305c03b09c"></a><!-- doxytag: member="bdm::KalmanCh::_drv" ref="ff2d8755ba0b3def927d31305c03b09c" args="() const " --> 
     
    208205<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix D. <br></td></tr> 
    209206<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="70f8bf19e81b532c60fd3a7a152425ee"></a><!-- doxytag: member="bdm::KalmanCh::Q" ref="70f8bf19e81b532c60fd3a7a152425ee" args="" --> 
    210 <a class="el" href="classchmat.html">chmat</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee">Q</a></td></tr> 
     207<a class="el" href="classbdm_1_1chmat.html">chmat</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee">Q</a></td></tr> 
    211208 
    212209<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix Q in square-root form. <br></td></tr> 
    213210<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="475b088287cdfbba4dc60a3d027728b7"></a><!-- doxytag: member="bdm::KalmanCh::R" ref="475b088287cdfbba4dc60a3d027728b7" args="" --> 
    214 <a class="el" href="classchmat.html">chmat</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7">R</a></td></tr> 
     211<a class="el" href="classbdm_1_1chmat.html">chmat</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7">R</a></td></tr> 
    215212 
    216213<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix R in square-root form. <br></td></tr> 
    217214<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="383f329ff18bbe219254c8b3b916f40d"></a><!-- doxytag: member="bdm::KalmanCh::est" ref="383f329ff18bbe219254c8b3b916f40d" args="" --> 
    218 <a class="el" href="classbdm_1_1enorm.html">enorm</a>&lt; <a class="el" href="classchmat.html">chmat</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#383f329ff18bbe219254c8b3b916f40d">est</a></td></tr> 
     215<a class="el" href="classbdm_1_1enorm.html">enorm</a>&lt; <a class="el" href="classbdm_1_1chmat.html">chmat</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#383f329ff18bbe219254c8b3b916f40d">est</a></td></tr> 
    219216 
    220217<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">posterior density on $x_t$ <br></td></tr> 
    221218<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ba555c394c429f6831c9bbabfa2c944c"></a><!-- doxytag: member="bdm::KalmanCh::fy" ref="ba555c394c429f6831c9bbabfa2c944c" args="" --> 
    222 <a class="el" href="classbdm_1_1enorm.html">enorm</a>&lt; <a class="el" href="classchmat.html">chmat</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#ba555c394c429f6831c9bbabfa2c944c">fy</a></td></tr> 
     219<a class="el" href="classbdm_1_1enorm.html">enorm</a>&lt; <a class="el" href="classbdm_1_1chmat.html">chmat</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#ba555c394c429f6831c9bbabfa2c944c">fy</a></td></tr> 
    223220 
    224221<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">preditive density on $y_t$ <br></td></tr> 
     
    232229<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">cache of fy.mu <br></td></tr> 
    233230<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2dd268f2d7fbe6382cb8825a1114192a"></a><!-- doxytag: member="bdm::KalmanCh::_Ry" ref="2dd268f2d7fbe6382cb8825a1114192a" args="" --> 
    234 <a class="el" href="classchmat.html">chmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#2dd268f2d7fbe6382cb8825a1114192a">_Ry</a></td></tr> 
     231<a class="el" href="classbdm_1_1chmat.html">chmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#2dd268f2d7fbe6382cb8825a1114192a">_Ry</a></td></tr> 
    235232 
    236233<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">cache of fy.R <br></td></tr> 
     
    240237<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">cache of est.mu <br></td></tr> 
    241238<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="00c27b0bf324f0018497921ca23c71ed"></a><!-- doxytag: member="bdm::KalmanCh::_P" ref="00c27b0bf324f0018497921ca23c71ed" args="" --> 
    242 <a class="el" href="classchmat.html">chmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#00c27b0bf324f0018497921ca23c71ed">_P</a></td></tr> 
     239<a class="el" href="classbdm_1_1chmat.html">chmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1Kalman.html#00c27b0bf324f0018497921ca23c71ed">_P</a></td></tr> 
    243240 
    244241<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">cache of est.R <br></td></tr> 
     
    295292Trivial example: <div class="fragment"><pre class="fragment"><span class="preprocessor">#include "<a class="code" href="kalman_8h.html" title="Bayesian Filtering for linear Gaussian models (Kalman Filter) and extensions.">estim/kalman.h</a>"</span> 
    296293<span class="keyword">using namespace </span>bdm; 
    297          
     294 
    298295<span class="comment">// estimation of AR(0) model</span> 
    299296<span class="keywordtype">int</span> main() { 
    300297        <span class="comment">//dimensions</span> 
    301         <span class="keywordtype">int</span> dx=3, dy=3, du=1; 
     298        <span class="keywordtype">int</span> dx = 3, dy = 3, du = 1; 
    302299        <span class="comment">// matrices</span> 
    303         mat A = eye(dx); 
    304         mat B = zeros(dx,du); 
    305         mat C = eye(dx); 
    306         mat D = zeros(dy,du); 
    307         mat Q = eye(dx); 
    308         mat R = 0.1*eye(dy); 
     300        mat A = eye ( dx ); 
     301        mat B = zeros ( dx, du ); 
     302        mat C = eye ( dx ); 
     303        mat D = zeros ( dy, du ); 
     304        mat Q = eye ( dx ); 
     305        mat R = 0.1 * eye ( dy ); 
    309306        <span class="comment">//prior</span> 
    310         mat P0 = 100*eye(dx); 
    311         vec mu0 = zeros(dx); 
     307        mat P0 = 100 * eye ( dx ); 
     308        vec mu0 = zeros ( dx ); 
    312309        <span class="comment">// Estimator</span> 
    313310        KalmanCh KF; 
    314         KF.set_parameters(A,B,C,D,<span class="comment">/*covariances*/</span> Q,R); 
    315         KF.set_statistics(mu0,P0); 
     311        KF.set_parameters ( A, B, C, D,<span class="comment">/*covariances*/</span> Q, R ); 
     312        KF.set_statistics ( mu0, P0 ); 
    316313        <span class="comment">// Estimation loop</span> 
    317         <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0;i&lt;100;i++){ 
    318                 KF.bayes(randn(dx+du)); 
     314        <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 0; i &lt; 100; i++ ) { 
     315                KF.bayes ( randn ( dx + du ) ); 
    319316        } 
    320317        <span class="comment">//print results</span> 
    321318        cout &lt;&lt; <span class="stringliteral">"Posterior estimate of x is: "</span>  &lt;&lt; endl; 
    322         cout &lt;&lt; <span class="stringliteral">"mean: "</span>&lt;&lt; KF.posterior().mean()&lt;&lt; endl; 
    323         cout &lt;&lt; <span class="stringliteral">"variance: "</span>&lt;&lt; KF.posterior().variance()&lt;&lt; endl; 
     319        cout &lt;&lt; <span class="stringliteral">"mean: "</span> &lt;&lt; KF.posterior().mean() &lt;&lt; endl; 
     320        cout &lt;&lt; <span class="stringliteral">"variance: "</span> &lt;&lt; KF.posterior().variance() &lt;&lt; endl; 
    324321} 
    325322</pre></div> <hr><h2>Member Function Documentation</h2> 
     
    352349<p>Reimplemented in <a class="el" href="classbdm_1_1EKFCh.html#4c8609c37290b158f88a31dae4047225">bdm::EKFCh</a>.</p> 
    353350 
    354 <p>References <a class="el" href="chmat_8h_source.html#l00073">chmat::_Ch()</a>, <a class="el" href="kalman_8h_source.html#l00099">bdm::Kalman&lt; chmat &gt;::_K</a>, <a class="el" href="kalman_8h_source.html#l00105">bdm::Kalman&lt; chmat &gt;::_mu</a>, <a class="el" href="kalman_8h_source.html#l00107">bdm::Kalman&lt; chmat &gt;::_P</a>, <a class="el" href="kalman_8h_source.html#l00103">bdm::Kalman&lt; chmat &gt;::_Ry</a>, <a class="el" href="kalman_8h_source.html#l00101">bdm::Kalman&lt; chmat &gt;::_yp</a>, <a class="el" href="kalman_8h_source.html#l00081">bdm::Kalman&lt; chmat &gt;::A</a>, <a class="el" href="kalman_8h_source.html#l00083">bdm::Kalman&lt; chmat &gt;::B</a>, <a class="el" href="kalman_8h_source.html#l00085">bdm::Kalman&lt; chmat &gt;::C</a>, <a class="el" href="kalman_8h_source.html#l00087">bdm::Kalman&lt; chmat &gt;::D</a>, <a class="el" href="kalman_8h_source.html#l00079">bdm::Kalman&lt; chmat &gt;::dimu</a>, <a class="el" href="kalman_8h_source.html#l00075">bdm::Kalman&lt; chmat &gt;::dimx</a>, <a class="el" href="kalman_8h_source.html#l00077">bdm::Kalman&lt; chmat &gt;::dimy</a>, <a class="el" href="bdmbase_8h_source.html#l00741">bdm::BM::evalll</a>, <a class="el" href="exp__family_8h_source.html#l00051">bdm::eEF::evallog()</a>, <a class="el" href="kalman_8h_source.html#l00096">bdm::Kalman&lt; chmat &gt;::fy</a>, <a class="el" href="bdmbase_8h_source.html#l00739">bdm::BM::ll</a>, <a class="el" href="kalman_8h_source.html#l00148">postA</a>, and <a class="el" href="kalman_8h_source.html#l00146">preA</a>.</p> 
     351<p>References <a class="el" href="chmat_8h-source.html#l00084">bdm::chmat::_Ch()</a>, <a class="el" href="kalman_8h-source.html#l00096">bdm::Kalman&lt; chmat &gt;::_K</a>, <a class="el" href="kalman_8h-source.html#l00102">bdm::Kalman&lt; chmat &gt;::_mu</a>, <a class="el" href="kalman_8h-source.html#l00104">bdm::Kalman&lt; chmat &gt;::_P</a>, <a class="el" href="kalman_8h-source.html#l00100">bdm::Kalman&lt; chmat &gt;::_Ry</a>, <a class="el" href="kalman_8h-source.html#l00098">bdm::Kalman&lt; chmat &gt;::_yp</a>, <a class="el" href="kalman_8h-source.html#l00078">bdm::Kalman&lt; chmat &gt;::A</a>, <a class="el" href="kalman_8h-source.html#l00080">bdm::Kalman&lt; chmat &gt;::B</a>, <a class="el" href="kalman_8h-source.html#l00082">bdm::Kalman&lt; chmat &gt;::C</a>, <a class="el" href="kalman_8h-source.html#l00084">bdm::Kalman&lt; chmat &gt;::D</a>, <a class="el" href="kalman_8h-source.html#l00076">bdm::Kalman&lt; chmat &gt;::dimu</a>, <a class="el" href="kalman_8h-source.html#l00072">bdm::Kalman&lt; chmat &gt;::dimx</a>, <a class="el" href="kalman_8h-source.html#l00074">bdm::Kalman&lt; chmat &gt;::dimy</a>, <a class="el" href="bdmbase_8h-source.html#l00852">bdm::BM::evalll</a>, <a class="el" href="exp__family_8h-source.html#l00049">bdm::eEF::evallog()</a>, <a class="el" href="kalman_8h-source.html#l00093">bdm::Kalman&lt; chmat &gt;::fy</a>, <a class="el" href="bdmbase_8h-source.html#l00850">bdm::BM::ll</a>, <a class="el" href="kalman_8h-source.html#l00148">postA</a>, and <a class="el" href="kalman_8h-source.html#l00146">preA</a>.</p> 
    355352 
    356353</div> 
     
    376373<p>Reimplemented in <a class="el" href="classbdm_1_1ARX.html#080a7e531e3aa06694112863b15bc6a4">bdm::ARX</a>, <a class="el" href="classbdm_1_1MixEF.html#da724da464a75e07521941e430929efa">bdm::MixEF</a>, and <a class="el" href="classbdm_1_1multiBM.html#e157b607c1e3fa91d42aeea44458e2bf">bdm::multiBM</a>.</p> 
    377374 
    378 <p>Referenced by <a class="el" href="bdmbase_8h_source.html#l00770">bdm::BM::logpred_m()</a>.</p> 
     375<p>Referenced by <a class="el" href="bdmbase_8h-source.html#l00886">bdm::BM::logpred_m()</a>.</p> 
    379376 
    380377</div> 
    381378</div><p> 
    382379<hr>The documentation for this class was generated from the following files:<ul> 
    383 <li><a class="el" href="kalman_8h_source.html">kalman.h</a><li>kalman.cpp</ul> 
    384 </div> 
    385 <hr size="1"><address style="text-align: right;"><small>Generated on Wed Aug 5 00:06:58 2009 for mixpp by&nbsp; 
     380<li><a class="el" href="kalman_8h-source.html">kalman.h</a><li>kalman.cpp</ul> 
     381</div> 
     382<hr size="1"><address style="text-align: right;"><small>Generated on Sun Aug 16 17:58:19 2009 for mixpp by&nbsp; 
    386383<a href="http://www.doxygen.org/index.html"> 
    387 <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.9 </small></address> 
     384<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> 
    388385</body> 
    389386</html>