Bias Compensation for Least-Squares Multi-Pulse TDOA Localization Algorithms

摘要

A weighted least squares (WLS) estimator is presented for time difference of arrival (TDOA) localization of an emitter using multiple TDOA measurements collected by moving receivers. A comprehensive bias analysis for this estimate is provided. Based on the outcomes of the bias analysis, a bias compensation algorithm is developed to reduce the severe WLS estimation bias. The proposed algorithm utilizes an estimate of the instantaneous bias derived from the WLS estimate itself. The significant bias reduction capability of the proposed bias compensation algorithm is illustrated with simulation examples involving geolocation of a pulse radar by unmanned aerial vehicles (UAVs).