Different Sensor Placement Strategies for TDOA Based Localization

This paper studies different optimization strategies for the sensor placement in source localization by using time differences of arrival. It continues the works in (B. Yang et al., 2005, 2006) and gives answers to some open questions there. In particular, we discuss the relationship between maximum Fisher information matrix, minimum Cramer-Rao bound, spherical codes, uniform angular arrays, and Platonic solids as well as their roles in optimizing the sensor placement. Various new optimum sensor array geometries are given.