A method of ill-posed equation resolution for ambiguity resolution on-the-fly in network RTK reference station
Ke Fu · Journal of Chinese Inertial Technology · 2008
In estimating ambiguity between reference stations in Network RTK,if error equations are ill-posed,they will lead to larger error in ambiguity float solution and incapability of fixing integer ambiguity. In order to solve this problem,this paper presents a novel scheme to solve the ambiguity on-the-fly based on the features of Network RTK:1) Judge whether normal equation is ill-posed or not;2) Resolve ill-posed equation using Tikhonov Regularization Principle;3) Search and Fix integer ambiguity by LAMBDA(Least-square AMBiguity De-correlation Adjustment) . Meanwhile,it studied the method of constructing Tikhonov regularization matrix and how to choose regularization parameter. At last,the experiment are made which proves that the method is feasible. This method can acquire exact Integer Ambiguity by choosing an appropriate regularization parameter. The paper also discusses the effect of different regularization parameters on ambiguity resolution.