Performance Analysis of the MUSIC and Pencil-MUSIC Algorithms for Diversely Polarized Array

This paper presents an asymptotical analysis of the MUSIC and Pencil-MUSIC methods for estimating 2-D angles and polarizations using crossed dipoles. The explicit first order expressions for the variances of the MUSIC and Pencil-MUSIC estimates are derived. Both the theoretical and simulation results are used to analyze and compare the performances of the MUSIC and Pencil-MUSIC methods. A number of new insights into the two methods are revealed. In particular, the MUSIC and Pencil-MUSIC methods are shown to have comparable performances near the Cramer-Rao bound, although the latter is much more efficient in computation than the former.