Integer Ambiguity Resolution Based on Hyperbolic Tangent Iterative Optimizer

Hyperbolic Tangent Iterative Optimizer (HTIO) algorithm is introduced for ambiguity resolution in double-difference positioning, with reduced complexity and higher success-rate. The DO (De-rounding operation) algorithm is also proposed to address inconsistencies in the geometric properties of search spaces for various ambiguity elements. Applying the HTIO algorithm to ambiguity vectors processed by the DO algorithm significantly enhances the success rate of ambiguity resolution and reduces fixing time. The HTIO algorithm was compared with LAMBDA algorithms and other 6 swarm intelligence optimization algorithms through ambiguity resolution simulation experiment. Comparatively, the HTIO algorithm outperforms the LAMBDA algorithm with a 5.54% increase in search success-rate and a 91.04% reduction in time, and surpasses the IBOA algorithm with a 4.39% increase in success-rate and an 82.14% time reduction.