Tracking the direction-of-arrival of multiple moving targets by passive arrays: asymptotic performance analysis

摘要

In the companion paper of Zhou, Yip and Leung (see ibid., vol.47, no.10, p.2655-66, 1999), the maximum likelihood (ML) algorithm for tracking the DOAs of multiple moving targets by passive arrays is presented. In this paper, we provide an asymptotic performance analysis of the algorithm. The statistical consistency of the ML estimates is discussed, and their asymptotic covariances are derived. The Cramer-Rao bounds for the ML estimates are investigated, and their relative efficiency conditions are discussed. The asymptotic performance of the ML tracking algorithm is compared with that of the extended Kalman filter (EKF) under the assumption that the target waveforms are known. Finally, numerical simulation results are used to verify the theoretical results.