MATLAB Code Implementation for GPS Positioning

In this article, we present the source code for GPS positioning implementation, referencing the influential paper "An Algebraic Solution of the GPS Equations". We provide detailed explanations of each code segment's specific functionality and implementation methodology, including comprehensive comments and technical explanations to help readers better understand and utilize this program. The implementation features essential MATLAB functions including satellite position calculation using ephemeris data, pseudorange measurements processing, and the algebraic solution algorithm for solving the navigation equations. Key components include matrix operations for least squares estimation, coordinate transformation routines, and error correction mechanisms. We further discuss the algorithm's background and underlying principles, enabling readers to comprehend its operational methodology and make necessary modifications or improvements. The code demonstrates practical approaches for handling GPS raw data, implementing coordinate transformations, and validating positioning accuracy through residual analysis. Ultimately, we aim for this article to serve as a valuable reference and practical tool for GPS positioning developers, providing both theoretical foundations and ready-to-use MATLAB implementation for real-world navigation applications.