On sampling signal strength for localization using a directional antenna

Positioning wireless mobiles has been widely studied. However, issues on efficiency and accuracy are not fully considered in the design of most positioning techniques. In this paper, we analyze the performance of localization of wireless mobiles with the knowledge of signal sampling theory. We propose a general approach of locating a wireless mobile device using a directional antenna, and we prove that the correctness of localization depends on the setting of the signal sampling rate. We derived a set of theorems to judge the time cost of localization in order to achieve a certain degree of accuracy. These theorems cover different types of directional antennas for signal strength sampling so that we can utilize them to enhance the positioning accuracy. We conduct extensive simulations to demonstrate the effectiveness and accuracy of our theory.