Performance Analysis of the Interferometric Ranging System with Hopped Frequencies against Multi-tone Jammer

Interferometric Ranging System with Hopped Frequencies (IRHF) is a novel ranging technique with advanced anti-jamming capability in wireless sensor networks. This paper investigates the ranging performance of Maximum Likelihood (ML) estimator of IRHF under multi-tone jamming (MTJ), which is a potential threat faced by wireless sensor nodes. Firstly, the jamming model with one malicious node transmitting MTJ signal is introduced. Secondly, the region where the false estimation locates is detected. Finally, a closed-form expression of the probability of false estimation versus signal-to-jamming ratio and some system parameters is derived with the tool of pair-wise probability. The consistence between the simulation results and the theoretical approximations validates our analyses. The study shows that the probability of false estimation proposed here can predict the ML ranging performance of IRHF accurately and relieve the requirement of timeconsuming computer simulations.