Integer Ambiguity Estimation for Satellite Navigation

Carrier phase measurements of pseudoranges often allow for millimeter precision. The periodic nature of the carrier phase, however, leads to integer ambiguities. These ambiguities need to be resolved for accurate positioning. Blewitt and Teunissen provide two methods for the associated estimation process. The present paper complements their work with an improved real-valued diagonalization of the ambiguity covariance matrix, and a functional determination of an integer decorrelation transformation. The proposed method achieves a similar performance as Teunissen's LAMBDA method-in terms of the probability of wrong fixing, but with a reduced complexity. Furthermore, it shows a slightly different path towards ambiguity resolution.