Sound Field Interpolation for Rotation-Invariant Multichannel Array Signal Processing

In this paper, we present a sound field interpolation for array signal processing (ASP) that is robust to rotation of circular microphone (CMA), and evaluate beamforming as one its applications. Most ASP methods assume time-invariant acoustic transfer system (ATS) from sources the array. This assumption makes it challenging perform in real situations where can move. Therefore, considering time-variant ATS an essential task use ASP. study, focus on such movement, CMA. Our method interpolates circumference circle, microphones are equally spaced, based sampling theorem circle. The enables us estimate signals at positions before rotation. Hence, conventional ASP, which assumes ATS, applicable after without modification. We developed two schemes, batch online processing, combine minimum power distortionless response beamformer interpolation. evaluated dependences frequency angle using signal-to-error ratio. Additionally, simulation results demonstrated proposed schemes improve beamformer's performance when CMA rotates.