Effect Of Random Antenna Element Displacements On Sparse-Uca-Root-Music Direction-Of-Arrival Estimation

We leverage a generalized polynomial chaos (GPoC) expansion to model the effect of correlated random antenna element displacements in a uniform circular antenna array (UCA) on the probability density function of the estimated directions-of-arrival (DOAs). To limit the number of antenna array realizations to be evaluated through full-wave simulations, we determine the GPoC expansion coefficients based on the stochastic collocation method. The method yields a speedup factor of about 40 compared to the Monte-Carlo approach, for a UCA with two displaced antenna elements and for DOA estimates obtained via the sparse-UCA-root-MUSIC algorithm.