Fuzzy geometric localization for triangular grid deployment in passive sensor networks

For bearings-only target localization in passive sensor networks, a novel analysis approach based on fuzzy geometry is introduced to investigate the fuzzy measurability for a moving target in R² space. The fuzzy analytical bias expressions are derived. And the interplay between fuzzy localization geometry and the fuzzy estimation bias for the case of fuzzy triangular grid deployment is analyzed in detail in sensor networks, which can realize the 3-dimensional target localization including fuzzy estimate position and velocity by measuring the fuzzy azimuth angles at intervals of fixed time. The theoretical findings of the paper are backed up with simulation results.