MATLAB Source Code for ROOT-MUSIC Algorithm Simulation

This content presents MATLAB simulation source code for implementing the ROOT-MUSIC algorithm. The algorithm employs a root-finding methodology that eliminates the need for conventional spectrum peak searching. This approach significantly optimizes computational complexity by converting the spectral estimation problem into polynomial root finding, where techniques like eigenvalue decomposition and polynomial rooting replace exhaustive peak searches. The implementation typically involves constructing the signal covariance matrix, performing eigenvalue decomposition to separate signal and noise subspaces, and then solving the roots of the derived polynomial to estimate signal directions. Through this MATLAB simulation code, users can gain deeper insights into the algorithm's working principles and application scenarios, while practically mastering implementation techniques for direction of arrival (DOA) estimation. The code provides hands-on experience with key functions such as covariance matrix computation, subspace separation, and polynomial root extraction, making it a valuable tool for understanding and applying the ROOT-MUSIC algorithm in array signal processing applications.