<p>Chapter 1: Linear systems theory<br>Rectangular integration<br>Trapezoidal integration<br>Fourth-order Runge-Kutta integration<br>Chapter 2: Probability theory<br>Correlated noise simulation<br>Chapter 3: Least squares estimation<br>Recursive least squares estimation<br>General recursive least squares estimation<br>Chapter 5: The discrete-time Kalman filter<br>The discrete-time Kalman filter<br>Chapter 6: Alternate Kalman filter formulations<br>The sequential Kalman filter<br>The information filter<br>The Cholesky matrix square root algorithm<br>Potter’s square root measurement-update algorithm<br>The Householder algorithm<br>The Gram-Schmidt algorithm<br>The U-D measurement update<br>The U-D time update<br>Chapter 7: Kalman filter generalizations<br>The general discretetime Kalman filter<br>The discrete-time Kalman filter with colored measurement noise<br>The Hamiltonian approach to steady-state Kalman filtering<br>The fading-inemory filter<br>Chapter 8: The continuous-time Kalman filter<br>The continuous-time Kalman filter<br>The Chandrasekhar algorithm<br>The continuous-time square root Kalman filter<br>The continuous-time Kalman filter with correlated noise<br>The continuous-time Kalman filter with colored measurement noise<br>Chapter 9: Optimal smoothing<br>The fixed-point smoother<br>The fixed-lag smoother<br>The RTS smoother<br>Chapter 10: Additional topics in Kalman filtering<br>The multiplemodel estimator<br>The reduced-order Schmidt-Kalman filter<br>The delayed-measurement Kalman filter<br>Chapter 11: The H, filter<br>The discretetime H, filter<br>Chapter 12: Additional topics in H, filtering<br>The mixed Kalman/H, filter<br>The robust mixed Kalman/H, filter<br>The constrained H, filter<br>Chapter 13: Nonlinear Kalman filtering<br>The continuous-time linearized Kalman filter<br>The continuous-time extended Kalman filter<br>The hybrid extended Kalman filter<br>The discretetime extended Kalman filter<br>The iterated extended Kalman filter<br>The second-order hybrid extended Kalman filter<br>The second-order discretetime extended Kalman filter<br>The Gaussian sum filter<br>Chapter 14: The unscented Kalman filter<br>The unscented transformation<br>The unscented Kalman filter<br>The simplex sigma-point algorithm<br>The spherical sigma-point algorithm</p><p>Chapter 15: The particle filter<br>The recursive Bayesian state estimator<br>The particle filter<br>Regularized particle filter resampling<br>The extended Kalman particle filter<br></p>
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