Solving single-frequency phase ambiguity using parameter weights fitting and constrained equation ambiguity resolution methods

来源期刊：中南大学学报(英文版)2006年第1期

论文作者：阳仁贵 欧吉坤 袁运斌 张克非 闻德保 Ron Grenfell

文章页码：93 - 98

Key words：global position system; ill-conditioned state; parameter weight fitting method; constraint equation; integer ambiguity

Abstract: Based on the structural characteristics of the double-differenced normal equation, a new method was proposed to resolve the ambiguity float solution through a selection of parameter weights to construct an appropriate regularized matrix, and a singular decomposition method was used to generate regularization parameters. Numerical test results suggest that the regularized ambiguity float solution is more stable and reliable than the least-squares float solution. The mean square error matrix of the new method possesses a lower correlation than the variance covariance matrix of the least-squares estimation. The size of the ambiguity search space is reduced and the search efficiency is improved. The success rate of the integer ambiguity searching process is improved significantly when the ambiguity resolution by using constraint equation method is used to determine the correct ambiguity integervector. The ambiguity resolution by using constraint equation method requires an initial input of the ambiguity float solution candidates which are obtained from the LAMBDA method in the new method. In addition, the observation time required to fix reliable integer ambiguities can be significantly reduced.