Particle Filter with Hybrid Proposal Distribution for Nonlinear State Estimation

Particle filters have been widely used in solving nonlinear filtering problems. Proposal Distribution design is a key issue for these methods and has vital effects on simulation results. Various proposal distributions have been proposed to improve the performance of particle filters, but practical situations have encouraged the researchers to design better candidate for proposal distributions in order to gain better performance. This paper proposes a hybrid proposal distribution designed for particle filtering framework. The algorithm uses hybrid Kalman filter to generate the proposal distribution, which make efficient use of the latest observations and generates more close approximation of the posterior probability density. The yielded algorithm is named as hybrid Kalman particle filter. In the experiments, a scalar estimation model and a real world application problem are used to evaluate the new algorithm. The experimental results show that the new algorithm outperforms any other algorithm with different proposal distributions. In order to reduce the time consumption of the new algorithm, an improvement strategy, namely partition-conquer strategy, is proposed, in which the particles are partitioned into two parts, with one part drawn from the hybrid Kalman filter, the other part from the transition prior. The validity of the strategy is verified through an experiment.