Sequential Change Detection for Next-Generation RAIM Algorithms

Daniel Egea-Roca, Gonzalo Seco-Granados, and José A. López-Salcedo

Abstract: Traditional integrity algorithms for Global Navigation Satellite Systems (GNSSs) are based on augmentation systems or Receiver Autonomous Integrity Monitoring (RAIM). Nevertheless, these traditional schemes were originally designed for civil aviation applications, so that many limitations can be found in this design when moving into other applications. Our proposed approach to overcome these limitations is based on applying Statistical Change Detection (SCD) to current RAIM algorithms. This approach is in line with the substantial recent interest in critical applications in which an established maximum tolerable delay (or Time to Alarm, TTA) is desirable. Detections declared after this TTA are actually considered as unbounded. In these applications, which is also the case of GNSS integrity, the so-called Transient Change Detection (TCD) criterion is very appropriate. The first attempts connecting integrity algorithms and SCD dates back to the work of Nikiforov in the latter 90s. This work introduced the concept of sequential RAIM proposing the use of the CUSUM algorithm. In this paper we formally connect integrity algorithms with the TCD framework and we consider the use of a novel solution, namely the Finite Moving Average (FMA). Numerical simulations are provided showing the superiority of the FMA solution in terms of availability of the RAIM algorithm, main drawback of current implementations. This is so for all the competitors, but it is particularly true when compared with current RAIM schemes. Based on these considerations, the need of a new family of integrity schemes based on SCD, and particularly on TCD, is apparent, thus driving to the modernization of current RAIM.
Published in: Proceedings of the 30th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2017)
September 25 - 29, 2017
Oregon Convention Center
Portland, Oregon
Pages: 2417 - 2427
Cite this article: Egea-Roca, Daniel, Seco-Granados, Gonzalo, López-Salcedo, José A., "Sequential Change Detection for Next-Generation RAIM Algorithms," Proceedings of the 30th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2017), Portland, Oregon, September 2017, pp. 2417-2427.
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