The effect on GNSS ambiguity resolution of using an approximate weight matrix.
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A theorem of Teunissen (1999) states that the integer least-squares estimator mazimizes the probability of correct integer estimation within the class of admissible integer estimators. Applied to the problem of GNSS ambiguity resolution, this implies that the largest success rate is obtained when the integer least-squares principle is used for estimating the integer carrier phase ambiguities. No other integer ambiguity estimator will produce higher success rates. In this contribution it will be shown how the success rate is affected when a too optimistic or a too pessimistic precision description of the ambiguities is used in the ambiguity estimation process.
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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 ...
Verhagen, S.; Li, Bofeng; Teunissen, Peter (2013)Integer ambiguity resolution is the process of estimating the unknown ambiguities of carrier-phase observables as integers. It applies to a wide range of interferometric applications of which Global Navigation Satellite ...