Probabilistic properties of GNSS integer ambiguity estimation
نویسنده
چکیده
Successful integer estimation of carrier phase ambiguities of Global Navigation Satellite Systems (GNSS) is the key to many high precision positioning applications. In order to describe the quality of the positioning results rigorously, one needs to know the probabilistic properties of both the integer and noninteger parameters in the GNSS model. In this contribution these probability distributions are presented and discussed. The probability mass function of the integer ambiguities is needed to evaluate the ambiguity success rate and the distribution of the GNSS baseline is needed to evaluate the relevant confidence regions for positioning.
منابع مشابه
GNSS Ambiguity Bootstrapping: Theory and Application
The purpose of carrier phase ambiguity resolution is to improve upon the precision of the estimated GNSS baseline by means of the integer ambiguity constraints. There exists a whole class of integer ambiguity estimators from which one can choose. Members from this class are, for instance, integer rounding, integer bootstrapping and integer leastsquares. In this review paper we will present the ...
متن کاملStatistical Gnss Carrier Phase Ambiguity Resolution: a Review
Abstract Global Navigation Satellite System carrier phase ambiguity resolution is the key to high precision positioning and navigation. In this contribution a brief review is given of the probabilistic theory of integer carrier phase ambiguity estimation. Various ambiguity estimators are discussed. Among them are the estimators of integer rounding, integer bootstrapping, integer least-squares a...
متن کاملProbabilistic Evaluation of the Integer Least-Squares and Integer Aperture Estimators
The carrier phase observations start to act as very precise pseudorange observations once the ambiguities are resolved as integers. However, the integer ambiguity estimates should only be used if the reliability of the integer solution is high. The question is then how to assess this reliability. A wellknown a-priori reliability measure is the ambiguity success rate. But even with a high succes...
متن کاملGNSS Integer Ambiguity Estimation and Evaluation: LAMBDA and Ps-LAMBDA
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 wide variety of GNSS applications. The method’s popularity stems from its numerical efficiency and statistical optimality. However, before conducting ambiguity resolution, one ne...
متن کاملTheory of Carrier Phase Ambiguity Resolution
Carrier phase ambiguity resolution is the key to high precision Global Navigation Satellite System (GNSS) positioning and navigation. It applies to a great variety of current and future models of GPS, modernized GPS and Galileo. A proper handling of carrier phase ambiguity resolution requires a proper understanding of the underlying theory of integer inference. In this contribution a brief revi...
متن کامل