Adaptive distance estimation and localization in wireless networks with Triangle and Ptolemy inequalities

Distance estimation and localization are essential tasks in modern wireless networks with a wide range of applications. Distance is a geometrical concept and hence, various numbers of geometric inequalities and theorems can be applied to distance measurement. In this paper, new adaptive approaches for distance estimation and localization problems are proposed based on Triangle and Ptolemy's inequalities. Simulation results are presented which show that the proposed methods can improve the performance of the existing approaches, in terms of accuracy.