Design of robust two-dimensional polynomial beamformers as a convex\n optimization problem with application to robot audition

2017/04/28 by Hendrik Barfuss, Markus Bachmann, Barfuss, Hendrik +7
Computer Science · Engineering · #Acoustic Wave Phenomena Research #FOS: Computer and information sciences #Sound (cs.SD) #Speech and Audio Processing #Vehicle Noise and Vibration Control

paper · pdf · doi:10.48550/arxiv.1704.08953

openalex publication_date 2017/04/28 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We propose a robust two-dimensional polynomial beamformer design method,\nformulated as a convex optimization problem, which allows for flexible steering\nof a previously proposed data-independent robust beamformer in both azimuth and\nelevation direction.~As an exemplary application, the proposed two-dimensional\npolynomial beamformer design is applied to a twelve-element microphone array,\nintegrated into the head of a humanoid robot. To account for the effects of the\nrobot's head on the sound field, measured head-related transfer functions are\nintegrated into the optimization problem as steering vectors. The\ntwo-dimensional polynomial beamformer design is evaluated using\nsignal-independent and signal-dependent measures. The results confirm that the\nproposed polynomial beamformer design approximates the original fixed\nbeamformer design very accurately, which makes it an attractive approach for\nrobust real-time data-independent beamforming.\n

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