Abstract

The geometric dilution of precision (GDOP) is an important index with positioning, navigation and timing (PNT) applications. In multi-GNSS positioning, the system time offsets between different systems can be determined at user level, namely, calculated by the receiver at the cost of at least one additional satellite from each additional time reference frame. In this paper, we focus on some characteristics of the GDOP at user level (short for GDOPU) in multi-GNSS positioning, including the impact of the number of satellites on the GDOPU, and the calculation of the GDOPU minimum. The theoretical derivations show that the GDOPU decreases with respect to the number of satellites. Moreover, the detailed expression of GDOPU minimum together with the optimal condition leading to the minimum is also given. The experimental results using real data validate these discussions.

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