Polynomial Root-MUSIC Algorithm for Efficient Broadband Direction of Arrival Estimation

The popular MUSIC algorithm has been recently extended to broadband scenarios through the use of polynomial matrix methods and polynomial eigenvalue decomposition algorithms, producing impressive results, at the cost of a high computational complexity. This is due to the heuristic angular search stage of the algorithm. Through the extension of the popular narrowband variant of the MUSIC algorithm, Root-MUSIC, we aim to significantly reduce the computational cost of spatio-spectral polynomial MUSIC algorithm by eliminating this searching requirement. The performance of both algorithms are analysed and compared, demonstrating a similar performance with a significant reduction in computation time.