Optimal Angular Sensor Separation for DRSS Localization

This paper investigates optimal target-sensor geometries for differential received signal strength (DRSS) localization in the 2D-plane. To achieve this, the D-optimality criterion is employed, which maximizes the determinant of the Fisher information matrix (FIM). We observe that equiangular sensor separation maximizes the determinant of the FIM, forming the best geometry, for equal target -sensor ranges under the assumption of identical log-normal noise variances for all sensor measurements. However, when the distances between the target and sensors are different, equiangular sensor separation cannot meet the optimal geometry condition. We provide analytical and numerical solutions for optimal geometries for the specific cases of three and four sensors with non-uniform target-sensor ranges.