ECA-MURE Algorithm and CRB Analysis for High-Precision DOA Estimation in Coprime Sensor Arrays

The enhanced coprime array (ECA), in conjunction with the manifold reconstruction unitary ESPRIT (MURE) algorithm, offers a groundbreaking solution for direction-of-arrival (DOA) estimation in coprime sensor arrays. Coprime arrays, known for their ability to capture signals from multiple uncorrelated sources, present unique challenges due to their nonstandard geometry. The MURE algorithm seamlessly combines manifold reconstruction and unitary ESPRIT techniques to address these challenges. One significant contribution of this research is the Cramér–Rao Bound (CRB) analysis, shedding light on the fundamental limits of DOA estimation in coprime arrays. In addition, a comprehensive computational complexity analysis provides insights into the algorithm's efficiency. Extensive computer simulations consistently demonstrate the superior performance of the ECA-MURE algorithm, showcasing its accuracy and robustness. This innovative approach has far-reaching implications for applications relying on precise DOA estimation, including radar systems, wireless communication, and acoustic sensing. ECA-MURE unlocks the potential of coprime arrays, making them more practical and effective in real-world scenarios.