A Gaussian mixture filter for target tracking with Doppler ambiguity
Gongjian Zhou, Michel Pelletier, Thiagalingam T. Kirubarajan, Taifan Quan · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2012
Target tracking with ambiguous Doppler measurements as well as position measurements is investigated. This paper presents a method using Gaussian Mixture representation of the Doppler measurement uncertainty. The conditional probability of target Doppler given an ambiguous Doppler measurement is approximated by a Gaussian sum of several possible unambiguous Doppler. Then the Gaussian Mixture filter based on the unscented Kalman filter (UKF) is presented to solve the problem of state estimation from measurements with Doppler ambiguity. Simulation results demonstrate the effectiveness of this approach.