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26 | <h1>Kalman< sq_T > Class Template Reference</h1><!-- doxytag: class="Kalman" --><!-- doxytag: inherits="BM" --><a class="el" href="classKalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a> filter with covariance matrices in square root form. |
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27 | <a href="#_details">More...</a> |
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28 | <p> |
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29 | <code>#include <<a class="el" href="libKF_8h-source.html">libKF.h</a>></code> |
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30 | <p> |
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31 | <div class="dynheader"> |
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32 | Inheritance diagram for Kalman< sq_T >:</div> |
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33 | <div class="dynsection"> |
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34 | <p><center><img src="classKalman__inherit__graph.png" border="0" usemap="#Kalman_3_01sq__T_01_4__inherit__map" alt="Inheritance graph"></center> |
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35 | <map name="Kalman_3_01sq__T_01_4__inherit__map"> |
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36 | <area shape="rect" href="classKalman.html" title="Kalman\< ldmat \>" alt="" coords="69,172,189,196"><area shape="rect" href="classKalman.html" title="Kalman\< chmat \>" alt="" coords="213,172,339,196"><area shape="rect" href="classKalman.html" title="Kalman\< fsqmat \>" alt="" coords="363,172,491,196"><area shape="rect" href="classBM.html" title="Bayesian Model of the world, i.e. all uncertainty is modeled by probabilities." alt="" coords="256,7,296,31"><area shape="rect" href="classKFcondQR.html" title="Kalman Filter with conditional diagonal matrices R and Q." alt="" coords="5,250,91,274"><area shape="rect" href="classKFcondR.html" title="Kalman Filter with conditional diagonal matrices R and Q." alt="" coords="115,250,189,274"><area shape="rect" href="classKalmanCh.html" title="Kalman filter in square root form." alt="" coords="236,250,316,274"><area shape="rect" href="classEKFCh.html" title="Extended Kalman Filter in Square root." alt="" coords="244,327,308,351"><area shape="rect" href="classEKF__unQ.html" title="Extended Kalman filter with unknown Q." alt="" coords="237,404,315,428"><area shape="rect" href="classEKF.html" title="Extended Kalman Filter." alt="" coords="377,250,476,274"></map> |
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37 | <center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div> |
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38 | <div class="dynheader"> |
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39 | Collaboration diagram for Kalman< sq_T >:</div> |
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40 | <div class="dynsection"> |
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41 | <p><center><img src="classKalman__coll__graph.png" border="0" usemap="#Kalman_3_01sq__T_01_4__coll__map" alt="Collaboration graph"></center> |
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42 | <map name="Kalman_3_01sq__T_01_4__coll__map"> |
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43 | <area shape="rect" href="classBM.html" title="Bayesian Model of the world, i.e. all uncertainty is modeled by probabilities." alt="" coords="44,96,84,120"><area shape="rect" href="classRV.html" title="Class representing variables, most often random variables." alt="" coords="9,7,47,31"></map> |
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44 | <center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div> |
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45 | |
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46 | <p> |
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47 | <a href="classKalman-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> |
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48 | <tr><td></td></tr> |
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49 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> |
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50 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3d56b0a97b8c1e25fdd3b10eef3c2ad3"></a><!-- doxytag: member="Kalman::Kalman" ref="3d56b0a97b8c1e25fdd3b10eef3c2ad3" args="(RV rvx0, RV rvy0, RV rvu0)" --> |
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51 | </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#3d56b0a97b8c1e25fdd3b10eef3c2ad3">Kalman</a> (<a class="el" href="classRV.html">RV</a> rvx0, <a class="el" href="classRV.html">RV</a> rvy0, <a class="el" href="classRV.html">RV</a> rvu0)</td></tr> |
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52 | |
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53 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Default constructor. <br></td></tr> |
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54 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ce38e31810aea4db45a83ad05eaba009"></a><!-- doxytag: member="Kalman::Kalman" ref="ce38e31810aea4db45a83ad05eaba009" args="(const Kalman< sq_T > &K0)" --> |
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55 | </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#ce38e31810aea4db45a83ad05eaba009">Kalman</a> (const <a class="el" href="classKalman.html">Kalman</a>< sq_T > &K0)</td></tr> |
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56 | |
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57 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Copy constructor. <br></td></tr> |
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58 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="239b28a0380946f5749b2f8d2807f93a"></a><!-- doxytag: member="Kalman::set_parameters" ref="239b28a0380946f5749b2f8d2807f93a" args="(const mat &A0, const mat &B0, const mat &C0, const mat &D0, const sq_T &R0, const sq_T &Q0)" --> |
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59 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#239b28a0380946f5749b2f8d2807f93a">set_parameters</a> (const mat &A0, const mat &B0, const mat &C0, const mat &D0, const sq_T &R0, const sq_T &Q0)</td></tr> |
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60 | |
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61 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Set parameters with check of relevance. <br></td></tr> |
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62 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="80bcf29466d9a9dd2b8f74699807d0c0"></a><!-- doxytag: member="Kalman::set_est" ref="80bcf29466d9a9dd2b8f74699807d0c0" args="(const vec &mu0, const sq_T &P0)" --> |
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63 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#80bcf29466d9a9dd2b8f74699807d0c0">set_est</a> (const vec &mu0, const sq_T &P0)</td></tr> |
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64 | |
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65 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Set estimate values, used e.g. in initialization. <br></td></tr> |
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66 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7750ffd73f261828a32c18aaeb65c75c"></a><!-- doxytag: member="Kalman::bayes" ref="7750ffd73f261828a32c18aaeb65c75c" args="(const vec &dt)" --> |
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67 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#7750ffd73f261828a32c18aaeb65c75c">bayes</a> (const vec &dt)</td></tr> |
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68 | |
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69 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Here dt = [yt;ut] of appropriate dimensions. <br></td></tr> |
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70 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a213c57aef55b2645e550bed81cfc0d4"></a><!-- doxytag: member="Kalman::_epdf" ref="a213c57aef55b2645e550bed81cfc0d4" args="()" --> |
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71 | <a class="el" href="classepdf.html">epdf</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#a213c57aef55b2645e550bed81cfc0d4">_epdf</a> ()</td></tr> |
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72 | |
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73 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
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74 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="980fcd41c6c548c5da7b8b67c8e6da79"></a><!-- doxytag: member="Kalman::__K" ref="980fcd41c6c548c5da7b8b67c8e6da79" args="()" --> |
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75 | mat & </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#980fcd41c6c548c5da7b8b67c8e6da79">__K</a> ()</td></tr> |
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76 | |
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77 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
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78 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ac9540f3850b74d89a5fe4db6fc358ce"></a><!-- doxytag: member="Kalman::_dP" ref="ac9540f3850b74d89a5fe4db6fc358ce" args="()" --> |
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79 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#ac9540f3850b74d89a5fe4db6fc358ce">_dP</a> ()</td></tr> |
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80 | |
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81 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
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82 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="87b07867fd4c133aa89a18543f68d9f9"></a><!-- doxytag: member="Kalman::bayes" ref="87b07867fd4c133aa89a18543f68d9f9" args="(mat Dt)" --> |
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83 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classBM.html#87b07867fd4c133aa89a18543f68d9f9">bayes</a> (mat Dt)</td></tr> |
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84 | |
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85 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Batch Bayes rule (columns of Dt are observations). <br></td></tr> |
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86 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="126bd2595c48e311fc2a7ab72876092a"></a><!-- doxytag: member="Kalman::_rv" ref="126bd2595c48e311fc2a7ab72876092a" args="() const " --> |
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87 | const <a class="el" href="classRV.html">RV</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classBM.html#126bd2595c48e311fc2a7ab72876092a">_rv</a> () const </td></tr> |
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88 | |
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89 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
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90 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="87f4a547d2c29180be88175e5eab9c88"></a><!-- doxytag: member="Kalman::_ll" ref="87f4a547d2c29180be88175e5eab9c88" args="() const " --> |
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91 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classBM.html#87f4a547d2c29180be88175e5eab9c88">_ll</a> () const </td></tr> |
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92 | |
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93 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
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94 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> |
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95 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7501230c2fafa3655887d2da23b3184c"></a><!-- doxytag: member="Kalman::rvy" ref="7501230c2fafa3655887d2da23b3184c" args="" --> |
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96 | <a class="el" href="classRV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#7501230c2fafa3655887d2da23b3184c">rvy</a></td></tr> |
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97 | |
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98 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Indetifier of output rv. <br></td></tr> |
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99 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="44a16ffd5ac1e6e39bae34fea9e1e498"></a><!-- doxytag: member="Kalman::rvu" ref="44a16ffd5ac1e6e39bae34fea9e1e498" args="" --> |
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100 | <a class="el" href="classRV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#44a16ffd5ac1e6e39bae34fea9e1e498">rvu</a></td></tr> |
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101 | |
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102 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Indetifier of exogeneous rv. <br></td></tr> |
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103 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="39c8c403b46fa3b8c7da77cb2e3729eb"></a><!-- doxytag: member="Kalman::dimx" ref="39c8c403b46fa3b8c7da77cb2e3729eb" args="" --> |
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104 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#39c8c403b46fa3b8c7da77cb2e3729eb">dimx</a></td></tr> |
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105 | |
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106 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of rv.count() <br></td></tr> |
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107 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ba17b956df1e38b31fbbc299c8213b6a"></a><!-- doxytag: member="Kalman::dimy" ref="ba17b956df1e38b31fbbc299c8213b6a" args="" --> |
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108 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#ba17b956df1e38b31fbbc299c8213b6a">dimy</a></td></tr> |
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109 | |
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110 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of rvy.count() <br></td></tr> |
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111 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b0153795a1444b6968a86409c778d9ce"></a><!-- doxytag: member="Kalman::dimu" ref="b0153795a1444b6968a86409c778d9ce" args="" --> |
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112 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#b0153795a1444b6968a86409c778d9ce">dimu</a></td></tr> |
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113 | |
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114 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of rvu.count() <br></td></tr> |
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115 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5e02efe86ee91e9c74b93b425fe060b9"></a><!-- doxytag: member="Kalman::A" ref="5e02efe86ee91e9c74b93b425fe060b9" args="" --> |
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116 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#5e02efe86ee91e9c74b93b425fe060b9">A</a></td></tr> |
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117 | |
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118 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix A. <br></td></tr> |
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119 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dc87704284a6c0bca13bf51f4345a50a"></a><!-- doxytag: member="Kalman::B" ref="dc87704284a6c0bca13bf51f4345a50a" args="" --> |
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120 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#dc87704284a6c0bca13bf51f4345a50a">B</a></td></tr> |
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121 | |
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122 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix B. <br></td></tr> |
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123 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="86a805cd6515872d1132ad0d6eb5dc13"></a><!-- doxytag: member="Kalman::C" ref="86a805cd6515872d1132ad0d6eb5dc13" args="" --> |
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124 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#86a805cd6515872d1132ad0d6eb5dc13">C</a></td></tr> |
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125 | |
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126 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix C. <br></td></tr> |
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127 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d69f774ba3335c970c1c5b1d182f4dd1"></a><!-- doxytag: member="Kalman::D" ref="d69f774ba3335c970c1c5b1d182f4dd1" args="" --> |
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128 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#d69f774ba3335c970c1c5b1d182f4dd1">D</a></td></tr> |
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129 | |
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130 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix D. <br></td></tr> |
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131 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9b69015c800eb93f3ee49da23a6f55d9"></a><!-- doxytag: member="Kalman::Q" ref="9b69015c800eb93f3ee49da23a6f55d9" args="" --> |
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132 | sq_T </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#9b69015c800eb93f3ee49da23a6f55d9">Q</a></td></tr> |
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133 | |
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134 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix Q in square-root form. <br></td></tr> |
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135 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="11d171dc0e0ab111c56a70f98b97b3ec"></a><!-- doxytag: member="Kalman::R" ref="11d171dc0e0ab111c56a70f98b97b3ec" args="" --> |
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136 | sq_T </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#11d171dc0e0ab111c56a70f98b97b3ec">R</a></td></tr> |
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137 | |
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138 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix R in square-root form. <br></td></tr> |
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139 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5568c74bac67ae6d3b1061dba60c9424"></a><!-- doxytag: member="Kalman::est" ref="5568c74bac67ae6d3b1061dba60c9424" args="" --> |
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140 | <a class="el" href="classenorm.html">enorm</a>< sq_T > </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#5568c74bac67ae6d3b1061dba60c9424">est</a></td></tr> |
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141 | |
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142 | <tr><td class="mdescLeft"> </td><td class="mdescRight">posterior density on $x_t$ <br></td></tr> |
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143 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e580ab06483952bd03f2e651763e184f"></a><!-- doxytag: member="Kalman::fy" ref="e580ab06483952bd03f2e651763e184f" args="" --> |
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144 | <a class="el" href="classenorm.html">enorm</a>< sq_T > </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#e580ab06483952bd03f2e651763e184f">fy</a></td></tr> |
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145 | |
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146 | <tr><td class="mdescLeft"> </td><td class="mdescRight">preditive density on $y_t$ <br></td></tr> |
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147 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d422f51467c7a06174af2476d2826132"></a><!-- doxytag: member="Kalman::_K" ref="d422f51467c7a06174af2476d2826132" args="" --> |
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148 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#d422f51467c7a06174af2476d2826132">_K</a></td></tr> |
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149 | |
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150 | <tr><td class="mdescLeft"> </td><td class="mdescRight">placeholder for <a class="el" href="classKalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a> gain <br></td></tr> |
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151 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="764bbc95238eda11fc81c5ebd0b1dcfd"></a><!-- doxytag: member="Kalman::_yp" ref="764bbc95238eda11fc81c5ebd0b1dcfd" args="" --> |
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152 | vec & </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#764bbc95238eda11fc81c5ebd0b1dcfd">_yp</a></td></tr> |
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153 | |
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154 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of fy.mu <br></td></tr> |
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155 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="45c9f928d2d62e0c884900fb3380f904"></a><!-- doxytag: member="Kalman::_Ry" ref="45c9f928d2d62e0c884900fb3380f904" args="" --> |
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156 | sq_T & </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#45c9f928d2d62e0c884900fb3380f904">_Ry</a></td></tr> |
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157 | |
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158 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of fy.R <br></td></tr> |
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159 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="fe803a81d2d847b0b1db3c6b29c18061"></a><!-- doxytag: member="Kalman::_mu" ref="fe803a81d2d847b0b1db3c6b29c18061" args="" --> |
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160 | vec & </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#fe803a81d2d847b0b1db3c6b29c18061">_mu</a></td></tr> |
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161 | |
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162 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of est.mu <br></td></tr> |
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163 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9fb808cc94a4c2652e1fb93be9bb7dcf"></a><!-- doxytag: member="Kalman::_P" ref="9fb808cc94a4c2652e1fb93be9bb7dcf" args="" --> |
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164 | sq_T & </td><td class="memItemRight" valign="bottom"><a class="el" href="classKalman.html#9fb808cc94a4c2652e1fb93be9bb7dcf">_P</a></td></tr> |
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165 | |
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166 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of est.R <br></td></tr> |
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167 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="af00f0612fabe66241dd507188cdbf88"></a><!-- doxytag: member="Kalman::rv" ref="af00f0612fabe66241dd507188cdbf88" args="" --> |
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168 | <a class="el" href="classRV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classBM.html#af00f0612fabe66241dd507188cdbf88">rv</a></td></tr> |
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169 | |
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170 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Random variable of the posterior. <br></td></tr> |
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171 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5623fef6572a08c2b53b8c87b82dc979"></a><!-- doxytag: member="Kalman::ll" ref="5623fef6572a08c2b53b8c87b82dc979" args="" --> |
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172 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classBM.html#5623fef6572a08c2b53b8c87b82dc979">ll</a></td></tr> |
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173 | |
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174 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Logarithm of marginalized data likelihood. <br></td></tr> |
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175 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="bf6fb59b30141074f8ee1e2f43d03129"></a><!-- doxytag: member="Kalman::evalll" ref="bf6fb59b30141074f8ee1e2f43d03129" args="" --> |
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176 | bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classBM.html#bf6fb59b30141074f8ee1e2f43d03129">evalll</a></td></tr> |
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177 | |
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178 | <tr><td class="mdescLeft"> </td><td class="mdescRight">If true, the filter will compute likelihood of the data record and store it in <code>ll</code> . Set to false if you want to save time. <br></td></tr> |
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179 | </table> |
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180 | <hr><a name="_details"></a><h2>Detailed Description</h2> |
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181 | <h3>template<class sq_T><br> |
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182 | class Kalman< sq_T ></h3> |
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183 | |
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184 | <a class="el" href="classKalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a> filter with covariance matrices in square root form. |
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185 | <p> |
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186 | Parameter evolution model:<p class="formulaDsp"> |
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187 | <img class="formulaDsp" alt="\[ x_t = A x_{t-1} + B u_t + Q^{1/2} e_t \]" src="form_6.png"> |
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188 | <p> |
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189 | Observation model: <p class="formulaDsp"> |
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190 | <img class="formulaDsp" alt="\[ y_t = C x_{t-1} + C u_t + Q^{1/2} w_t. \]" src="form_7.png"> |
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191 | <p> |
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192 | Where $e_t$ and $w_t$ are independent vectors Normal(0,1)-distributed disturbances. <hr>The documentation for this class was generated from the following file:<ul> |
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193 | <li>work/mixpp/bdm/estim/<a class="el" href="libKF_8h-source.html">libKF.h</a></ul> |
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194 | </div> |
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195 | <hr size="1"><address style="text-align: right;"><small>Generated on Tue Apr 29 20:46:49 2008 for mixpp by |
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196 | <a href="http://www.doxygen.org/index.html"> |
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197 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.5 </small></address> |
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198 | </body> |
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199 | </html> |
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