Overbounding Time-Correlated Errors for a Multi-Constellation Precise Point Positioning Integrity Service

Rebecca Wang, Juan Blanch, and Todd Walter

Peer Reviewed

Abstract:	Overbounding Time-Correlated Errors for a Multi-Constellation Precise Point Positioning Integrity Service Rebecca Wang, Juan Blanch, and Todd Walter Safe navigation for traditional GNSS standalone positioning has been guaranteed by methods such as receiver autonomous integrity monitoring (RAIM) and advanced RAIM (ARAIM). These methods have been supported by several research efforts to characterize historical multi-GNSS signal performance in order to evaluate the one sigma user range accuracy (URA), probability of satellite fault (Psat) and probability of constellation fault (Pconst), which are key parameters necessary for the (A)RAIM framework. While the evaluation of these commitments is necessary for traditional GNSS positioning especially in the aviation industry, rigorous characterization of the appropriate error models is still emerging for augmented high-precision positioning methods, such as Precise Point Positioning (PPP) and Real-Time Kinematic (RTK). These methods are heavily used in industries like in autonomous driving or delivery that demand much higher accuracy. To achieve safety guarantees and proposed integrity commitments for a PPP user, a thorough and accurate characterization of errors that threaten a PPP service is required. In this work, we focus on a more rigorous overbounding for these signal-in-space (SIS) errors. We propose an appropriate covariance matrix which bounds the error distribution for time-correlated errors for a PPP integrity service subject to non-Gaussian error distributions. We use an overbounding criterion based on a chi-square distribution that is both simple and practical. The proposed covariance matrix is determined using a multi-GNSS, month-long dataset at a five-minute sampling rate.
Published in:	2025 IEEE/ION Position, Location and Navigation Symposium (PLANS) April 28 - 1, 2025 Salt Lake Marriott Downtown at City Creek Salt Lake City, UT
Pages:	235 - 243
Cite this article:	Wang, Rebecca, Blanch, Juan, Walter, Todd, "Overbounding Time-Correlated Errors for a Multi-Constellation Precise Point Positioning Integrity Service," 2025 IEEE/ION Position, Location and Navigation Symposium (PLANS), Salt Lake City, UT, April 2025, pp. 235-243.
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