A cooperative localization method based on conjugate gradient and Taylor series expansion algorithms

Taylor series expansion method based on TDOA (Time Difference of Arrival) is a typical location algorithm in cellular mobile telecommunication system, but its performance depends highly on the selection of initial position because of convergence problem. A new cooperative localization method based on conjugate gradient and Taylor series expansion algorithms is presented to solve this problem. The convergence and computation efficiency are improved by using the result of conjugate gradient method as the initial position in Taylor series expansion method. By comparing with those analogous algorithms, one is using the result of Chan algorithm, and the other is using the result of least square method, as the initial position in Taylor series expansion method, the computer simulation results indicate that the new algorithm has higher computation efficiency than that two analogous algorithms. Simulation results also show that the location accuracy and computation efficiency of the new algorithm can approach the performance obtained by Taylor series expansion method based on true position as the initial position.