Robust Chinese Remainder Theorem and Its application in Range Estimation

• 1、School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, 710049

Abstract：The radio interferometric positioning system (RIPS) can measure distance by using the wavelength of the radio wave from the relative phase offset of the interference signal. All of these measurements are suffered for the phase ambiguity problem，and are inevitably corrupted by noise in systems. In this paper，we propose to resolve the above problems by the robust Chinese remainder theorem (CRT). Exploiting by the angular circular distance between two vectors，we propose the vector based robust CRT algorithm. To further improve the estimation performance，we propose the maximum likelihood estimation based robust CRT algorithm. Compared with the existing robust CRT based range estimation algorithms，both of the proposed algorithms prRobust Chinese Remainder Theorem and Its application in Range Estimationovide a better performance. Especially for the second method, it achieves the best performance as well as the least computational complexity among all the competitors. Simulations are presented to verify the effectiveness and robustness of the proposed algorithms.

Keywords： Radio interferometric positioning system；Phase ambiguity；Robust Chinese remainder theorem；Ranging