73 | | <h1>bdm::StateSpace< sq_T > Class Template Reference</h1><!-- doxytag: class="bdm::StateSpace" --> |
74 | | <p>Basic elements of linear state-space model. |
75 | | <a href="#_details">More...</a></p> |
76 | | <hr/><a name="_details"></a><h2>Detailed Description</h2> |
77 | | <h3>template<class sq_T><br/> |
| 70 | <h1>bdm::StateSpace< sq_T > Class Template Reference</h1><!-- doxytag: class="bdm::StateSpace" -->Basic elements of linear state-space model. |
| 71 | <a href="#_details">More...</a> |
| 72 | <p> |
| 73 | <code>#include <<a class="el" href="kalman_8h_source.html">kalman.h</a>></code> |
| 74 | <p> |
| 75 | |
| 76 | <p> |
| 77 | <a href="classbdm_1_1StateSpace-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> |
| 78 | <tr><td></td></tr> |
| 79 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> |
| 80 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7a053883a11a93a979c28c3e6792ce20"></a><!-- doxytag: member="bdm::StateSpace::set_parameters" ref="7a053883a11a93a979c28c3e6792ce20" args="(const mat &A0, const mat &B0, const mat &C0, const mat &D0, const sq_T &Q0, const sq_T &R0)" --> |
| 81 | void </td><td class="memItemRight" valign="bottom"><b>set_parameters</b> (const mat &A0, const mat &B0, const mat &C0, const mat &D0, const sq_T &Q0, const sq_T &R0)</td></tr> |
| 82 | |
| 83 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a49922a3db65a333d24feceb68164bcd"></a><!-- doxytag: member="bdm::StateSpace::validate" ref="a49922a3db65a333d24feceb68164bcd" args="()" --> |
| 84 | void </td><td class="memItemRight" valign="bottom"><b>validate</b> ()</td></tr> |
| 85 | |
| 86 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="02470085bbf3c41fe8e36544813eecbd"></a><!-- doxytag: member="bdm::StateSpace::from_setting" ref="02470085bbf3c41fe8e36544813eecbd" args="(const Setting &set)" --> |
| 87 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#02470085bbf3c41fe8e36544813eecbd">from_setting</a> (const Setting &set)</td></tr> |
| 88 | |
| 89 | <tr><td class="mdescLeft"> </td><td class="mdescRight">not virtual in this case <br></td></tr> |
| 90 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b1972e00d9b9dd22a0f983c7cb0b8b40"></a><!-- doxytag: member="bdm::StateSpace::_dimx" ref="b1972e00d9b9dd22a0f983c7cb0b8b40" args="()" --> |
| 91 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#b1972e00d9b9dd22a0f983c7cb0b8b40">_dimx</a> ()</td></tr> |
| 92 | |
| 93 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
| 94 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f3d83a4b39e05df9fb4246fd6ddc2a60"></a><!-- doxytag: member="bdm::StateSpace::_dimy" ref="f3d83a4b39e05df9fb4246fd6ddc2a60" args="()" --> |
| 95 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#f3d83a4b39e05df9fb4246fd6ddc2a60">_dimy</a> ()</td></tr> |
| 96 | |
| 97 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
| 98 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a238842025a0eaade26d5d79a0e9000e"></a><!-- doxytag: member="bdm::StateSpace::_dimu" ref="a238842025a0eaade26d5d79a0e9000e" args="()" --> |
| 99 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a238842025a0eaade26d5d79a0e9000e">_dimu</a> ()</td></tr> |
| 100 | |
| 101 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
| 102 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ae0dd610bf28f52c4c7acec87e39ed5e"></a><!-- doxytag: member="bdm::StateSpace::_A" ref="ae0dd610bf28f52c4c7acec87e39ed5e" args="() const " --> |
| 103 | const mat & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#ae0dd610bf28f52c4c7acec87e39ed5e">_A</a> () const </td></tr> |
| 104 | |
| 105 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
| 106 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="19cabf296793357c130778fe74df54a4"></a><!-- doxytag: member="bdm::StateSpace::_B" ref="19cabf296793357c130778fe74df54a4" args="() const " --> |
| 107 | const mat & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#19cabf296793357c130778fe74df54a4">_B</a> () const </td></tr> |
| 108 | |
| 109 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
| 110 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5731f429df4a70dc0d0d1e6ea8e35125"></a><!-- doxytag: member="bdm::StateSpace::_C" ref="5731f429df4a70dc0d0d1e6ea8e35125" args="() const " --> |
| 111 | const mat & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#5731f429df4a70dc0d0d1e6ea8e35125">_C</a> () const </td></tr> |
| 112 | |
| 113 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
| 114 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="286286acb308f9ee596cab9af503b252"></a><!-- doxytag: member="bdm::StateSpace::_D" ref="286286acb308f9ee596cab9af503b252" args="() const " --> |
| 115 | const mat & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#286286acb308f9ee596cab9af503b252">_D</a> () const </td></tr> |
| 116 | |
| 117 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
| 118 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="38a71e31f22f5459d10c3cbee1e4d977"></a><!-- doxytag: member="bdm::StateSpace::_Q" ref="38a71e31f22f5459d10c3cbee1e4d977" args="() const " --> |
| 119 | const sq_T & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#38a71e31f22f5459d10c3cbee1e4d977">_Q</a> () const </td></tr> |
| 120 | |
| 121 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
| 122 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="69ddac45b7a4efbf83b2232d0d5595ba"></a><!-- doxytag: member="bdm::StateSpace::_R" ref="69ddac45b7a4efbf83b2232d0d5595ba" args="() const " --> |
| 123 | const sq_T & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#69ddac45b7a4efbf83b2232d0d5595ba">_R</a> () const </td></tr> |
| 124 | |
| 125 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
| 126 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> |
| 127 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c3120f1c9cd7c3a0ba9944e4a2381f21"></a><!-- doxytag: member="bdm::StateSpace::dimx" ref="c3120f1c9cd7c3a0ba9944e4a2381f21" args="" --> |
| 128 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#c3120f1c9cd7c3a0ba9944e4a2381f21">dimx</a></td></tr> |
| 129 | |
| 130 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of rv.count() <br></td></tr> |
| 131 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3b784d85ca911866225a79193ae1441f"></a><!-- doxytag: member="bdm::StateSpace::dimy" ref="3b784d85ca911866225a79193ae1441f" args="" --> |
| 132 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#3b784d85ca911866225a79193ae1441f">dimy</a></td></tr> |
| 133 | |
| 134 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of rvy.count() <br></td></tr> |
| 135 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="95bb59ffbfd34c55d03d4d7a2a9b4faf"></a><!-- doxytag: member="bdm::StateSpace::dimu" ref="95bb59ffbfd34c55d03d4d7a2a9b4faf" args="" --> |
| 136 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#95bb59ffbfd34c55d03d4d7a2a9b4faf">dimu</a></td></tr> |
| 137 | |
| 138 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of rvu.count() <br></td></tr> |
| 139 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="de7d828a8d06cbbd5ac45afeaf9f0c7b"></a><!-- doxytag: member="bdm::StateSpace::A" ref="de7d828a8d06cbbd5ac45afeaf9f0c7b" args="" --> |
| 140 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#de7d828a8d06cbbd5ac45afeaf9f0c7b">A</a></td></tr> |
| 141 | |
| 142 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix A. <br></td></tr> |
| 143 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0cdaa906550290b759a1584d02b3ca51"></a><!-- doxytag: member="bdm::StateSpace::B" ref="0cdaa906550290b759a1584d02b3ca51" args="" --> |
| 144 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#0cdaa906550290b759a1584d02b3ca51">B</a></td></tr> |
| 145 | |
| 146 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix B. <br></td></tr> |
| 147 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c7ec82d2200c956cff6dff559bd32ff9"></a><!-- doxytag: member="bdm::StateSpace::C" ref="c7ec82d2200c956cff6dff559bd32ff9" args="" --> |
| 148 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#c7ec82d2200c956cff6dff559bd32ff9">C</a></td></tr> |
| 149 | |
| 150 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix C. <br></td></tr> |
| 151 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d5769a41b34eb518716120cf04dbc23f"></a><!-- doxytag: member="bdm::StateSpace::D" ref="d5769a41b34eb518716120cf04dbc23f" args="" --> |
| 152 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#d5769a41b34eb518716120cf04dbc23f">D</a></td></tr> |
| 153 | |
| 154 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix D. <br></td></tr> |
| 155 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="66248c83836424f1cd7c1b5b9a92cf1f"></a><!-- doxytag: member="bdm::StateSpace::Q" ref="66248c83836424f1cd7c1b5b9a92cf1f" args="" --> |
| 156 | sq_T </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#66248c83836424f1cd7c1b5b9a92cf1f">Q</a></td></tr> |
| 157 | |
| 158 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix Q in square-root form. <br></td></tr> |
| 159 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="11dd3493d62ec9329860386adb3e6084"></a><!-- doxytag: member="bdm::StateSpace::R" ref="11dd3493d62ec9329860386adb3e6084" args="" --> |
| 160 | sq_T </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#11dd3493d62ec9329860386adb3e6084">R</a></td></tr> |
| 161 | |
| 162 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix R in square-root form. <br></td></tr> |
| 163 | </table> |
| 164 | <hr><a name="_details"></a><h2>Detailed Description</h2> |
| 165 | <h3>template<class sq_T><br> |
80 | | <p>Basic elements of linear state-space model. </p> |
81 | | <p>Parameter evolution model:</p> |
82 | | <p class="formulaDsp"> |
83 | | <img class="formulaDsp" alt="\[ x_t = A x_{t-1} + B u_t + Q^{1/2} e_t \]" src="form_36.png"/> |
84 | | </p> |
85 | | <p> Observation model: </p> |
86 | | <p class="formulaDsp"> |
87 | | <img class="formulaDsp" alt="\[ y_t = C x_{t-1} + C u_t + Q^{1/2} w_t. \]" src="form_37.png"/> |
88 | | </p> |
89 | | <p> Where $e_t$ and $w_t$ are independent vectors Normal(0,1)-distributed disturbances. </p> |
90 | | |
91 | | <p><code>#include <<a class="el" href="kalman_8h_source.html">kalman.h</a>></code></p> |
92 | | |
93 | | <p><a href="classbdm_1_1StateSpace-members.html">List of all members.</a></p> |
94 | | <table border="0" cellpadding="0" cellspacing="0"> |
95 | | <tr><td colspan="2"><h2>Public Member Functions</h2></td></tr> |
96 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a7a053883a11a93a979c28c3e6792ce20"></a><!-- doxytag: member="bdm::StateSpace::set_parameters" ref="a7a053883a11a93a979c28c3e6792ce20" args="(const mat &A0, const mat &B0, const mat &C0, const mat &D0, const sq_T &Q0, const sq_T &R0)" --> |
97 | | void </td><td class="memItemRight" valign="bottom"><b>set_parameters</b> (const mat &A0, const mat &B0, const mat &C0, const mat &D0, const sq_T &Q0, const sq_T &R0)</td></tr> |
98 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa49922a3db65a333d24feceb68164bcd"></a><!-- doxytag: member="bdm::StateSpace::validate" ref="aa49922a3db65a333d24feceb68164bcd" args="()" --> |
99 | | void </td><td class="memItemRight" valign="bottom"><b>validate</b> ()</td></tr> |
100 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a02470085bbf3c41fe8e36544813eecbd"></a><!-- doxytag: member="bdm::StateSpace::from_setting" ref="a02470085bbf3c41fe8e36544813eecbd" args="(const Setting &set)" --> |
101 | | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a02470085bbf3c41fe8e36544813eecbd">from_setting</a> (const Setting &set)</td></tr> |
102 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">not virtual in this case <br/></td></tr> |
103 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ab1972e00d9b9dd22a0f983c7cb0b8b40"></a><!-- doxytag: member="bdm::StateSpace::_dimx" ref="ab1972e00d9b9dd22a0f983c7cb0b8b40" args="()" --> |
104 | | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#ab1972e00d9b9dd22a0f983c7cb0b8b40">_dimx</a> ()</td></tr> |
105 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br/></td></tr> |
106 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af3d83a4b39e05df9fb4246fd6ddc2a60"></a><!-- doxytag: member="bdm::StateSpace::_dimy" ref="af3d83a4b39e05df9fb4246fd6ddc2a60" args="()" --> |
107 | | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#af3d83a4b39e05df9fb4246fd6ddc2a60">_dimy</a> ()</td></tr> |
108 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br/></td></tr> |
109 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa238842025a0eaade26d5d79a0e9000e"></a><!-- doxytag: member="bdm::StateSpace::_dimu" ref="aa238842025a0eaade26d5d79a0e9000e" args="()" --> |
110 | | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#aa238842025a0eaade26d5d79a0e9000e">_dimu</a> ()</td></tr> |
111 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br/></td></tr> |
112 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aae0dd610bf28f52c4c7acec87e39ed5e"></a><!-- doxytag: member="bdm::StateSpace::_A" ref="aae0dd610bf28f52c4c7acec87e39ed5e" args="() const " --> |
113 | | const mat & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#aae0dd610bf28f52c4c7acec87e39ed5e">_A</a> () const </td></tr> |
114 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br/></td></tr> |
115 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a19cabf296793357c130778fe74df54a4"></a><!-- doxytag: member="bdm::StateSpace::_B" ref="a19cabf296793357c130778fe74df54a4" args="() const " --> |
116 | | const mat & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a19cabf296793357c130778fe74df54a4">_B</a> () const </td></tr> |
117 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br/></td></tr> |
118 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a5731f429df4a70dc0d0d1e6ea8e35125"></a><!-- doxytag: member="bdm::StateSpace::_C" ref="a5731f429df4a70dc0d0d1e6ea8e35125" args="() const " --> |
119 | | const mat & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a5731f429df4a70dc0d0d1e6ea8e35125">_C</a> () const </td></tr> |
120 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br/></td></tr> |
121 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a286286acb308f9ee596cab9af503b252"></a><!-- doxytag: member="bdm::StateSpace::_D" ref="a286286acb308f9ee596cab9af503b252" args="() const " --> |
122 | | const mat & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a286286acb308f9ee596cab9af503b252">_D</a> () const </td></tr> |
123 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br/></td></tr> |
124 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a38a71e31f22f5459d10c3cbee1e4d977"></a><!-- doxytag: member="bdm::StateSpace::_Q" ref="a38a71e31f22f5459d10c3cbee1e4d977" args="() const " --> |
125 | | const sq_T & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a38a71e31f22f5459d10c3cbee1e4d977">_Q</a> () const </td></tr> |
126 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br/></td></tr> |
127 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a69ddac45b7a4efbf83b2232d0d5595ba"></a><!-- doxytag: member="bdm::StateSpace::_R" ref="a69ddac45b7a4efbf83b2232d0d5595ba" args="() const " --> |
128 | | const sq_T & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a69ddac45b7a4efbf83b2232d0d5595ba">_R</a> () const </td></tr> |
129 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br/></td></tr> |
130 | | <tr><td colspan="2"><h2>Protected Attributes</h2></td></tr> |
131 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ac3120f1c9cd7c3a0ba9944e4a2381f21"></a><!-- doxytag: member="bdm::StateSpace::dimx" ref="ac3120f1c9cd7c3a0ba9944e4a2381f21" args="" --> |
132 | | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#ac3120f1c9cd7c3a0ba9944e4a2381f21">dimx</a></td></tr> |
133 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of rv.count() <br/></td></tr> |
134 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3b784d85ca911866225a79193ae1441f"></a><!-- doxytag: member="bdm::StateSpace::dimy" ref="a3b784d85ca911866225a79193ae1441f" args="" --> |
135 | | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a3b784d85ca911866225a79193ae1441f">dimy</a></td></tr> |
136 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of rvy.count() <br/></td></tr> |
137 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a95bb59ffbfd34c55d03d4d7a2a9b4faf"></a><!-- doxytag: member="bdm::StateSpace::dimu" ref="a95bb59ffbfd34c55d03d4d7a2a9b4faf" args="" --> |
138 | | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a95bb59ffbfd34c55d03d4d7a2a9b4faf">dimu</a></td></tr> |
139 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of rvu.count() <br/></td></tr> |
140 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ade7d828a8d06cbbd5ac45afeaf9f0c7b"></a><!-- doxytag: member="bdm::StateSpace::A" ref="ade7d828a8d06cbbd5ac45afeaf9f0c7b" args="" --> |
141 | | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#ade7d828a8d06cbbd5ac45afeaf9f0c7b">A</a></td></tr> |
142 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix A. <br/></td></tr> |
143 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0cdaa906550290b759a1584d02b3ca51"></a><!-- doxytag: member="bdm::StateSpace::B" ref="a0cdaa906550290b759a1584d02b3ca51" args="" --> |
144 | | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a0cdaa906550290b759a1584d02b3ca51">B</a></td></tr> |
145 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix B. <br/></td></tr> |
146 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ac7ec82d2200c956cff6dff559bd32ff9"></a><!-- doxytag: member="bdm::StateSpace::C" ref="ac7ec82d2200c956cff6dff559bd32ff9" args="" --> |
147 | | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#ac7ec82d2200c956cff6dff559bd32ff9">C</a></td></tr> |
148 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix C. <br/></td></tr> |
149 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ad5769a41b34eb518716120cf04dbc23f"></a><!-- doxytag: member="bdm::StateSpace::D" ref="ad5769a41b34eb518716120cf04dbc23f" args="" --> |
150 | | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#ad5769a41b34eb518716120cf04dbc23f">D</a></td></tr> |
151 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix D. <br/></td></tr> |
152 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a66248c83836424f1cd7c1b5b9a92cf1f"></a><!-- doxytag: member="bdm::StateSpace::Q" ref="a66248c83836424f1cd7c1b5b9a92cf1f" args="" --> |
153 | | sq_T </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a66248c83836424f1cd7c1b5b9a92cf1f">Q</a></td></tr> |
154 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix Q in square-root form. <br/></td></tr> |
155 | | <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a11dd3493d62ec9329860386adb3e6084"></a><!-- doxytag: member="bdm::StateSpace::R" ref="a11dd3493d62ec9329860386adb3e6084" args="" --> |
156 | | sq_T </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1StateSpace.html#a11dd3493d62ec9329860386adb3e6084">R</a></td></tr> |
157 | | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix R in square-root form. <br/></td></tr> |
158 | | </table> |
159 | | <hr/>The documentation for this class was generated from the following file:<ul> |
160 | | <li><a class="el" href="kalman_8h_source.html">kalman.h</a></li> |
161 | | </ul> |
| 168 | Basic elements of linear state-space model. |
| 169 | <p> |
| 170 | Parameter evolution model:<p class="formulaDsp"> |
| 171 | <img class="formulaDsp" alt="\[ x_t = A x_{t-1} + B u_t + Q^{1/2} e_t \]" src="form_36.png"> |
| 172 | <p> |
| 173 | Observation model: <p class="formulaDsp"> |
| 174 | <img class="formulaDsp" alt="\[ y_t = C x_{t-1} + C u_t + Q^{1/2} w_t. \]" src="form_37.png"> |
| 175 | <p> |
| 176 | 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> |
| 177 | <li><a class="el" href="kalman_8h_source.html">kalman.h</a></ul> |