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TitleSpatially Robust Far-field Beamforming Using the von Mises(-Fisher) Distribution
Publication TypeJournal Article
Year of Publication2015
AuthorsAnderson, C.A., Teal P.D., and Poletti M.A.
JournalIEEE/ACM Transactions on Speech and Language Processing
Pagination2189 - 2197
Date Published2015
ISSN23299290 (ISSN)
KeywordsAnalytic expressions, Beamforming, Correlation function, Direction of arrival, Numerical robustness, Robust beamforming, Robust formulations, SINR performance, Spatial robustness, Von Mises-Fisher distribution
AbstractThis paper presents spatially robust far-field microphone beamformers and nullformers derived using the von Mises and von Mises-Fisher distributions to model the expected direction of arrival. Simple analytic expressions are presented for 2D and 3D far-field correlation functions and used to design spatially robust beamformers and nullformers. It is demonstrated that the spatially robust beamformers show a modest improvement in tolerating uncertainty in the target direction of arrival without incurring a significant penalty in terms of SINR performance compared with the MVDR beamformer. In addition, the spatially robust formulation shows significantly improved numerical robustness, indicating improved ability in tolerating intrinsic array errors. © 2014 IEEE.

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