An MSE Approximation for Grid-Based Maximum Likelihood Direction-of-Arrival Estimators

Conference: WSA 2020 - 24th International ITG Workshop on Smart Antennas
02/18/2020 - 02/20/2020 at Hamburg, Germany

Proceedings: ITG-Fb. 291: WSA 2020

Pages: 6Language: englishTyp: PDF

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Barthelme, Andreas; Kunz, Johannes; Utschick, Wolfgang (Professur für Methoden der Signalverarbeitung, Technische Universität München, 80290 München, Germany)

In this work, we derive a mean squared error (MSE) approximation for maximum likelihood (ML) estimators for direction finding that evaluate the likelihood function only on a grid. Such estimators are encountered if the array manifold is only known for a finite set of angles, or as an initialization for a gridless ML approach. As has been shown in previous works, the MSE can be decomposed into a local error part and a portion that accounts for outliers. We develop tight approximations for both parts, as is confirmed by our simulations.