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This paper addresses the challenge of designing continuously steerable differential beamformers for uniform circular microphone arrays. They introduce a novel design framework that incorporates constraints on the directional derivatives of the beampattern, specifically setting the first-order derivative to zero and controlling higher-order derivatives. The proposed method enhances steering flexibility and robustness, leading to continuously steerable beampatterns as demonstrated in simulations.
Achieve continuously steerable differential beamformers with uniform circular arrays by directly shaping the beampattern's derivatives.
Differential microphone arrays offer a promising solution for far-field acoustic signal acquisition due to their high spatial directivity and compact array structure. A key challenge lies in designing differential beamformers that are continuously steerable and capable of enhancing target signals arriving from arbitrary directions. This paper studies the design of differential beamformers for circular arrays and proposes a novel framework that incorporates directional derivative constraints. By constraining the first-order derivatives of the beampattern at the desired steering direction to zero and assigning suitable values to higher-order derivatives, the beamformer is ensured to achieve its maximum response in the target direction and provide sufficient beam steering. This approach not only improves steering flexibility but also enables a more intuitive and robust beampattern design. Simulation results demonstrate that the proposed method produces continuously steerable beampatterns.
