In this book, the extended Kalman filter (EKF) has been used as the standard technique for performing recursive nonlinear estimation. The EKF algorithm, however, provides only an approximation to optimal nonlinear estimation. In this chapter, we point out the underlying assumptions and flaws in the EKF, and present an alternative filter with performance superior to that of the EKF. This algorit...

Xi Liu, Badong Chena∗, Bin Xu, Zongze Wu, and Paul Honeine School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an, China; School of Automation, Northwestern Polytechnical University, Xi’an, China; School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China; the Normandie Univ, UNIROUEN, UNIHAVRE, INSA Rouen, LITIS, Rouen, ...

Battery energy systems are currently one of the most common power sources found in mobile electromechanical devices. In all these equipment, assuring the autonomy of the system requires to determine the battery state-of-charge (SOC) and predicting the end-of-discharge time with a high degree of accuracy. In this regard, this paper presents a comparative analysis of two well-known Bayesian estim...

A hierarchical statistical model is made up generically of a data model, a process model, and occasionally a prior model for all the unknown parameters. The process model, known as the state equations in the filtering literature, is where most of the scientist’s physical/chemical/biological knowledge about the problem is used. In the case of a dynamically changing configuration of objects movin...

Absolute adaptive current statistical (AACS) model and modified strong tracking unscented filter (MSTUF) are proposed for maneuvering target tracking (MTT) under nonlinear measurement in this paper. The key point of the AACS model is to associate the instantaneous acceleration variance with some elements of state covariance matrix by constructing acceleration increment models of the acceleratio...

A novel sparse Gauss–Hermite quadrature filter is proposed using a sparse-grid method for multidimensional numerical integration in the Bayesian estimation framework. The conventional Gauss–Hermite quadrature filter is computationally expensive for multidimensional problems, because the number of Gauss–Hermite quadrature points increases exponentially with the dimension. The number of sparse-gr...

Background. Seasonal influenza can cause severe health problems and significant economic burdens in various regions of the world. In addition to the substantial morbidity and mortality cases caused by influenza, the emergency department crowding is also partially attributed to the influenza patients. Forecasting the influenza trends is crucial in developing effective countermeasures to mitigate...

Direct tracking problem of moving noncircular sources for multiple arrays is investigated in this study. Here, we propose an improved unscented particle filter (I-UPF) direct method, which combines system proportional symmetry and Markov Chain Monte Carlo (MCMC) algorithm. Noncircular can extend the dimension matrix, accuracy improved. This method uses to receive sources. Firstly, set up a mode...