Computation of spectral and root MUSIC through real polynomial rooting

We present a technique to compute the Spectral and (Unitary) Root MUSIC estimations from the roots of a real polynomial in the problem of estimating the angles of arrival to a Uniform Linear Array (ULA). The computed estimations are the actual MUSIC or (Unitary) Root MUSIC estimations, but the need for a one-dimensional (1-D) search in Spectral MUSIC is eliminated, and the number of polynomial coefficients to compute in (Unitary) Root MUSIC is halved. Besides, the proposed technique makes it possible to perform the polynomial rooting step in these methods through real arithmetic.