Modified weighted integer least squares estimations for GNSS integer ambiguity resolution

Abstract

In this contribution, modified versions of Agrell, Eriksson, Vardy, Zeger (AEVZ) algorithms for integer ambiguity resolution of GNSS phase observations are presented. This modification removes many redundant mathematical operations of the AEVZ algorithm based on a recursive function. We also introduce G-based and H-based versions of AEVZ and its modification and compare the modified versions with the AEVZ method. Numerical results reveal that the H-based version of the modified algorithm performs the best. Therefore, it accelerates solving the high-dimensional weighted integer least squares problem. This results in faster integer ambiguity resolution.