High-accuracy Positioning Algorithm Based on UWB

Abstract

In the indoor positioning, it proposes a line to approximate hyperbola positioning algorithm based on ultra-wideband (UWB) aiming at the problems of low-accuracy positioning, non-line-of-sight (NLOS) phenomenon and multipath propagation in the precise positioning of mobile tags. The paper a method of using some lines to approximate hyperbola. It can convert quadratic hyperbolic equation into linear equation. Then it can achieve the high-accuracy position combining the time difference of arrival (TDOA) and triangle centroid position algorithm. According to MATLAB simulation, the average distance error of the three-line approximate algorithm is 23.7cm, the average distance error of the three-and-four-line approximate positioning algorithm is 17.7cm, and the average distance error of the five-line approximate positioning algorithm is 12.9cm. In the case of ensuring positioning accuracy, the Chan algorithm runs for a period of 14.5s. The maximum time is 7.9s for the algorithm to run one cycle, and the complexity of the algorithm is greatly reduced.

Improving non-line-of-sight situations in indoor positioning with ultra-wideband sensors via federated Kalman filter

“…Using four lines gives results 20.1 cm more accurate than the three lines algorithm. Therefore, it is recommended to use the approximate positioning algorithm using five lines [15].…”

“…A federated filter was used by the two dimensional. The position of the tag, which is fixed on the coordinate plane, was tried to be estimated with model system and measurement given by ( 14) and (15).…”