A fast Root-MUSIC algorithm based on Nystrom method and spectral factorization is proposed. By using Nystrom method, only two sub-matrices of the sample covariance matrix are calculated, which avoids its complete calculation and has the advantage of low computational complexity. At the same time, the polynomial coefficients of the Root-MUSIC based on the Nystrom method are conjugated, and the order of the polynomial is reduced by half when using iterative operations. Finally, the root algorithm is used to estimate the DOA. The performance of the proposed algorithm is demonstrated by simulation results.
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