N. Gordon et al., BAYESIAN STATE ESTIMATION FOR TRACKING AND GUIDANCE USING THE BOOTSTRAP FILTER, Journal of guidance, control, and dynamics, 18(6), 1995, pp. 1434-1443
The bootstrap filter is an algorithm for implementing recursive Bayesi
an filters, The required density of the state vector is represented as
a set of random samples that are updated and propagated by the algori
thm. The method is not restricted by assumptions of linearity or Gauss
ian noise: It may be applied to any state transition of measurement mo
del. A Monte Carlo simulation example of a bearings-only tracking prob
lem is presented, and the performance of the bootstrap filter is compa
red with a standard Cartesian extended Kalman filter (EKF), a modified
gain EKF, and a hybrid fitter, A preliminary investigation of an appl
ication of the bootstrap fitter to an exoatmospheric engagement with n
on-Gaussian measurement errors is also given.