Analytical Derivation of the False Alarm Probability and Detection Probability for GNSS NLOS Detection using a Dual Frequency Receiver

C. Gentner, I. Groh, S. Sand

Abstract:	This paper presents a novel analytical derivation of the false alarm probability (FAP) and detection probability (DP) for non-line-of-sight (NLOS) detection of GNSS signals using a dual frequency receiver. Generally, dual frequency receivers are used to obtain better positioning results by correcting, e. g., the ionosphere errors. The NLOS propagation in, e. g., urban environments causes positioning errors in the order of hundreds of meters in navigation systems. Thus, detection and mitigation of NLOS signals is a critical task for high accuracy navigation receivers. In this paper, we derive the FAP and DP of power-scaled detectors based on the multipath signals where we consider especially the GPS L1 and L5 frequency bands. The derivation considers frequency-selective fading channels taking sub-chip multipath interference, channel dynamics and initial frequency offsets into account. The results show a simple way to calculate the DP versus FAP. Simulation results show the analytical probabilities and show the tradeoff between temporal non-coherent versus temporal coherent averaging. Clearly, the optimum noise averaging depends on the length of the symbol sequence and channel dynamics. Additionally, the simulations show the improved DP of an antenna array at the receiver. Furthermore, we see the influence of the different chip-rates of both frequency bands in the simulation results.
Published in:	Proceedings of the 2011 International Technical Meeting of The Institute of Navigation January 24 - 26, 2011 Catamaran Resort Hotel San Diego, CA
Pages:	612 - 618
Cite this article:	Gentner, C., Groh, I., Sand, S., "Analytical Derivation of the False Alarm Probability and Detection Probability for GNSS NLOS Detection using a Dual Frequency Receiver," Proceedings of the 2011 International Technical Meeting of The Institute of Navigation, San Diego, CA, January 2011, pp. 612-618.
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