GPS Integer Ambiguity Decorrelation Adjustment Algorithm

The GPS Integer Ambiguity Decorrelation Adjustment Algorithm is a classical algorithm designed to resolve integer ambiguity issues in dynamic carrier phase measurements. Integer ambiguity serves as a critical parameter in carrier phase measurements, directly influencing positioning accuracy. This algorithm effectively reduces the ambiguity search space through decorrelation techniques, significantly improving computational efficiency.

The algorithm begins with parameterization of ambiguities, utilizing correlation matrix decomposition to minimize interdependencies among ambiguity parameters. It then employs sophisticated search strategies to rapidly identify optimal ambiguity combinations, ultimately achieving high-precision dynamic positioning. The algorithm demonstrates exceptional performance in real-time kinematic (RTK) measurements, particularly suited for high-precision GPS positioning scenarios.

The core innovation lies in optimizing the ambiguity search process through mathematical transformations that reduce computational complexity. In dynamic measurement applications, this algorithm substantially increases the success rate of ambiguity resolution, providing reliable technical support for precision positioning. MATLAB implementation of the algorithm further validates its effectiveness and practicality, offering valuable references for related research through demonstrated code examples featuring matrix decomposition techniques and efficient search algorithms.