Stochastic Framework for Evaluating the Effect of Displaced Antenna Elements on DOA Estimation

Veronique Inghelbrecht, Jo Verhaevert, Tanja Van Hecke, Hendrik Rogier, Marc Moeneclaey, Herwig Bruneel · IEEE Antennas and Wireless Propagation Letters · 2016

We establish a statistical framework for investigating the influence of correlated random displacements of antenna elements in a uniform circular antenna array (UCA) on the distribution of direction-of-arrival (DOA) estimates. More specifically, we apply a stochastic collocation method for modeling the sparse UCA root-MUSIC-DOA estimates as polynomial expansions of the random displacements. Compared to Monte-Carlo simulations, this approach yields a speedup of about 40 for the case of a displacement of two antenna elements.

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