Computation of spectral and root MUSIC through real polynomial rooting

• Published in: IEEE transactions on signal processing Vol. 53; no. 5; pp. 1923 - 1927
• Main Author: Selva, J.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.05.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Arithmetic; Array signal processing; Computation; Conformal mapping; Detection, estimation, filtering, equalization, prediction; Direction of arrival estimation; Exact sciences and technology; Fast Fourier transforms; Frequency estimation; Information, signal and communications theory; Linear arrays; Multiple signal classification; Music; Navigation; Polynomials; Roots; Sampling methods; Searching; Signal and communications theory; Signal processing; Signal, noise; Spectra; Telecommunications and information theory; Direction-of-arrival estimation; Parameter estimation; Array signal processing; Arrival angle; Signal estimation; Step method; Frequency estimation; Linear antenna arrays; Antenna array
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/TSP.2005.845489

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.