MATLAB Simulation of GPS System with Navigation Data Processing and Kalman Filtering

This article presents a practical MATLAB simulation program for GPS systems. The program implements several key functionalities including navigation message parsing, Kalman filtering for noise reduction, and position calculation algorithms. Through this simulation, users can gain deeper insights into the working principles and implementation methods of GPS navigation systems. The code structure includes specialized functions for reading and decoding ephemeris data, implementing recursive Kalman filtering for state estimation, and solving geometric positioning equations using least squares methods. Additionally, by adjusting parameters such as satellite visibility constraints, measurement noise covariance matrices, and iteration thresholds, users can simulate various operational scenarios to better understand the performance characteristics and limitations of GPS systems. The simulation provides modular code organization with separate functions for signal processing, coordinate transformation, and error correction algorithms. Overall, this MATLAB simulation serves as an excellent educational tool for learning and understanding GPS navigation technology through hands-on code implementation and parameter analysis.