A reduced-dimensional music algorithm with modulus constraint based on electromagnetic vector sensor array

Abstract

To reduce the large computation of joint direction-of-arrival (DOA) and polarization parameters estimation based on electromagnetic vector sensor array, a reduced-dimensional MUSIC algorithm with modulus constraint (MC-RDMUSIC) is proposed. The MC-RDMUSIC algorithm estimates the DOA and polarization parameters in two separate steps. In step one, DOA parameter is separated from polarization parameters and estimated by MUSIC algorithm; in step two, cost function is constructed according to constraint condition and polarization parameters are obtained with closed-form formulas. Compared with traditional MUSIC algorithm, MC-RDMUSIC algorithm avoids the spectrum peak search of DOA and polarization parameters at the same time, greatly improves the operation efficiency. Because of the one-to-one correspondence between DOA angle and polarization parameters, MC-RDMUSIC algorithm avoids parameters matching problem compared with ESPRIT algorithm. The computer simulation results verify the correctness of MC-RDMUSIC algorithm, and as well as its high success rate and precision of the angle estimation.