Scaled UKF with reduced sigma points particle filter for a red shift navigation system

In this paper, we investigate an autonomous navigation method using a red shift navigation in solar system, utilizing the solar system celestial body as the light source and information source. The flight velocity of the spacecraft in the inertial coordinate system is gained by the real time measurement of the red shift. In order to reduce the computation burden of particle filter, a method for particle filter based on scaled spherical simplex unscented transformation (SSSUT) is proposed, this method uses scaled spherical simplex unscented Kalman filter to generate importance distribution of particle filter. The scaled spherical simplex unscented particle filter introduces the parameters α, β, κ, these parameters can solve sampling non-local effects and shrink the distance of sigma points from the center. The simulation results show that compared with conventional unscented particle filter (UPF), the computation complexity of SSSUPF can be reduced by 50 percent, the computation burden can be reduced by 31 percent, and has the same accuracy with UPF.