A theorem on maximizing the probability of correct integer estimation.
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High ambiguity success rates are required for GPS ambiguity resolution to be successful. It is therefore of importance to be able to identify the integer estimators which maximize these success rates. In this contribution we present a theorem which shows when the success rate is maximized. This theorem generalizes a result of (Teunissen, 1998), which states that, in case of elliptically contoured distributions, it is the integer least-squares estimator that provides the largest probability of correct integer estimation.
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Teunissen, Peter (2003)Abstract. In this invited contribution a brief review will be presented of the integer estimation theory as developed by the author over the last decade and which started with the introduction of the LAMBDA method in 1993. ...
Arora, Balwinder Singh (2012)The precise positioning applications have long been carried out using dual frequency carrier phase and code observables from the Global Positioning System (GPS). The carrier phase observables are very precise in comparison ...
Li, Bofeng; Verhagen, S.; Teunissen, Peter (2013)Successful integer carrier-phase ambiguity resolution is crucial for high precision GNSS applications. It includes both integer estimation and evaluation. For integer estimation, the LAMBDA method has been applied in a ...