DOA estimation performances of multi-parametric music in presence of modeling errors — Case of coherent multi-paths

The purpose of this paper is to give a closed form expression of the RMS (Root Mean Square) error of the estimated DOA (Direction Of Arrival) for multi-parametric MUSIC in presence of a modeling error. The multi-parametric MUSIC approach, [1] firstly introduced by [2] in polarization diversity context, estimates with a subspace approach the sources DOAs jointly to the nuisance parameters such as the polarization vector. The results are based on a second order approximation of the multi-parametric criterion with respect to modeling errors. DOA estimation errors is then an Hermitian form of multi-variate complex random variables. Theoretical results are validated by simulations in the context of coherent multi-paths in polarizations diversity.