Research and Simulation of Super-resolution Root-MUSIC Algorithm

Direction of arrival (DOA) estimation is an important research direction in the theory of spatial spectral estimation, and the main DOA algorithms include beam-forming class algorithms and subspace class algorithms, etc. Conventional beam-forming class algorithms have limited estimation accuracy, and subspace class algorithms based on the theory of the eigen decomposition of covariance matrices greatly improve the accuracy of the direction estimation and have a wider applicability. Utilizing the composition structure of the array antenna, the super-resolution algorithm can better process the input signal and improve the parameter estimation ability of the signal in the space of interest. The Root-MUSIC algorithm is based on the eigen decomposition of the covariance matrix of the received signal from the sensor array, and the orthogonality between the separated signal direction vector and the noise subspace is used to determine the DOA polynomials of the Root-MUSIC algorithm, which realizes the signal parameter estimation by solving for the roots on the unit circle. Computer simulations show that the Root-MUSIC algorithm has high accuracy in estimating the DOA of multiple incoherent signals.