Ambiguity resolution validation based on LAMBDA and eigen-decomposition

Integer carrier phase ambiguity resolution is a major challenge for sub-centimeter level precision positioning or sub-degree level attitude determination. In such estimation problems, the key point is the resolution and validation of the integer ambiguity. The estimation process is typically formulated as the linear system equation. The unknown terms of the equations are the baseline vector and the double-differenced ambiguity vector. In the paper, a method based on linear matrix inequality and eigen-decomposition is adopted. The GPS data collected at various surveyed sites in Taiwan region are used for analysis. Both the LAMBDA and eigendecomposition methods are applied for the baseline determination. The comparisons between the two methods in terms of computational load, convergence rate, and reliability are assessed.