MATLAB Implementation of Trilateration Algorithm for Node Localization

This article presents a MATLAB implementation of the trilateration algorithm for node localization, complete with simulation of positioning errors to help readers better understand the algorithm's performance and advantages. The code implements the trilateration positioning method, a common technique for determining object positions by measuring distances from three reference points. The implementation includes detailed comments and explanations covering key functions such as distance calculation, coordinate solving using geometric intersections, and error analysis. We demonstrate how the algorithm handles various scenarios including different environmental conditions (indoor/outdoor), object sizes, and shapes through comprehensive simulations. The code structure features modular design with separate functions for signal propagation modeling, least-squares estimation for position calculation, and statistical error analysis. This resource aims to assist researchers and engineers seeking practical node localization solutions while providing insights into algorithm optimization and real-world application considerations.