07/29/2026
When you're validating a high-precision GNSS solution, how much should you trust the resolved integer ambiguities — especially when you're not fully confident they're correct?
Model validation is what catches the unmodeled effects — a blunder in a pseudorange, a carrier-phase cycle slip, or an atmosphere delay that isn't fully corrected — that bias the estimated parameters, such as user position coordinates, when they remain unnoticed. Two common approaches each have a catch. The ambiguity-float (AF) approach ignores the integer nature of the ambiguities, so validation can't benefit from those constraints. The alternative assumes the ambiguities are known, which only holds when the resolution success rate is very close to one.
Chengyu Yin, Peter Teunissen, and Christian Tiberius (Delft University of Technology, with Teunissen also at Melbourne and Curtin) take up a middle path. Their paper shows how to apply two AR-based parameter significance tests — the ARs test, which uses a high-probability-density acceptance region, and the ARn test, which uses a continuous ellipsoidal one — both of which use the distribution of the resolved ambiguities. They evaluate detection power against the AF and ambiguity-known (AK) tests across blunders, cycle slips, and ionosphere and troposphere delays.
In the authors' words: "the AR significance tests can perform better than the AF test, even if the success rate is not close to one."
The results come from Monte Carlo experiments on a single-constellation GPS double-differenced model. The advantage isn't universal — the AR test can sometimes trail the AF test, so the authors give an easy-to-compute criterion for the blunders and cycle slips tests to predict which case you're in. For atmosphere delays, where the power functions turn spiky, they show that a partial ARs (PARs) test — resolving a subset of the ambiguities — keeps the power function smooth, and that combining the ARs and PARs tests always outperforms either alone.
Read the full open-access article in NAVIGATION: https://lnkd.in/eFwCG8vT