Paper: | SPTM-L2.4 |
Session: | Particle Filtering and Other Tracking Algorithms |
Time: | Tuesday, May 16, 15:00 - 15:20 |
Presentation: |
Lecture
|
Topic: |
Signal Processing Theory and Methods: Adaptive Systems and Filtering |
Title: |
Reduced sigma point filtering for partially linear models |
Authors: |
Mark Morelande, University of Melbourne, Australia; Branko Ristic, Defence Science and Technology Organisation (DSTO), Australia |
Abstract: |
A method for performing unscented Kalman filtering with a reduced number of sigma points is proposed. The procedure is applicable when either the process or measurement equations are partially linear in the sense that only a subset of the elements of the state vector undergo a nonlinear transformation. It is shown that for such models second-order accuracy in the moments required for the unscented Kalman filter recursion can be obtained using a number of sigma points determined by the number of nonlinearly transformed elements rather than the dimension of the state vector. A procedure for computing the sigma points is developed. An application of the proposed method to smoothed target state estimation from bearings measurements is presented. |