Effectiveness Analysis of the Covariance Matrix for Spoofing Detection Application

摘要

The Global Navigation Satellite System (GNSS) broadcast navigation signals and provides global, accurate and real-time position, navigation and timing (PNT) information for various users including vehicles, UAVs, mobile devices et. However, the safety of the system is faced with new challenges. Signal spoofing attack of satellite navigation system seriously endangers the safety of satellite navigation system. Spoofing detection mitigation and detection methods are necessary and critical for ensuring safety of this system. This paper analyses effectiveness of a spoofing detection algorithm based on the covariance eigenvalues of a detection matrix formed by position vectors from different receivers. The eigenvalues of the covariance matrix under spoofing and no spoofing are computed and compared. The analysis shows that there is obvious change of the eigenvalues, which can be employed for spoofing detection. The experiment is carried out for modeling and analyzing effectiveness of this method. The results show that the eigenvalues of the covariance matrix obviously changed under the two different conditions, and three of the eigenvalues in the covariance matrix under spoofing are obviously larger, and three of them under no spoofing decrease obviously. A spoofing detection factor is established based on the changing eigenvalues. Relevant equations and proofings are also given in this paper. The experiment results are in agreement with the theoretical analysis.