Optimal sensor-target geometries for Doppler-shift target localization

Doppler-shift target localization has recently attracted renewed interest due to its wide range of applications. In this paper we analyze the optimal sensor-target geometries for the Doppler-shift target localization problem where the position and velocity of a moving target are estimated from Doppler-shift measurements taken at stationary sensors. The analysis is based on minimizing the estimation uncertainty, which is equivalent to maximizing the determinant of the Fisher information matrix. In particular, the optimal geometries that maximize the estimation accuracy for target position only, velocity only, and both position and velocity, are investigated. The analytical findings are verified by numerical examples.