Open Access

Probabilistic properties of GNSS integer ambiguity estimation

Earth, Planets and Space201452:BF03352285

https://doi.org/10.1186/BF03352285

Received: 4 November 1999

Accepted: 7 August 2000

Published: 24 June 2014

Abstract

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.