Exploiting Microphone Array Symmetry for Robust Two-Dimensional Polynomial Beamforming

Barfuss, Hendrik; Bachmann, Markus; Huemmer, Christian; Kellermann, Walter

doi:10.1109/iwaenc.2018.8521287

Cited by 5 publications

(2 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Yamaoka et al [12] interpolated the generalized cross-correlation function of two sound sources via the sinc function to obtain their time difference in the noninteger sample level. Schüldt [13] introduced the trigonometric interpolation to solve the problem of oscillation in polynomial beamforming [14] by using the symmetry and periodicity of the CMA, as in our method.…”

Section: Relation To Prior Workmentioning

confidence: 99%

Rotation-Robust Beamforming Based on Sound Field Interpolation with Regularly Circular Microphone Array

Wakabayashi

Yamaoka

2021

ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

View full text Add to dashboard Cite

In this paper, we present a novel framework of beamforming robust for a microphone array rotation. In most array signal processing methods, the time-invariant transfer system from a source to a microphone is assumed for calculating a spatial filter. This assumption makes it difficult to use the microphone array in real situations since sources and the microphone array may move. In this work, we focus on one such movement, the array's rotation. The key in our method is to use a regularly circular microphone array where microphones are equally spaced on a circle's circumference. Based on this, we propose a method to interpolate the sound field on the circumference. The interpolation enables us to estimate the signals at the microphone positions before the rotation even when the array rotates. Hence, the conventional array signal processing assuming the time-invariant system is applicable. Simulation results indicated that the proposed method improves the beamformer's performance under the array rotation.

show abstract

Section: Relation To Prior Workmentioning

confidence: 99%

Rotation-Robust Beamforming Based on Sound Field Interpolation with Regularly Circular Microphone Array

Wakabayashi

Yamaoka

2021

ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

View full text Add to dashboard Cite

show abstract

“…Yamaoka et al [29] interpolated the generalized cross-correlation function of two sound sources via the sinc function to obtain their time difference at the noninteger sample level. Schüldt [30] introduced the trigonometric interpolation to solve the problem of oscillation in polynomial beamforming [31] by using the symmetry and periodicity of the CMA, as in our method. These studies show that the acquisition of noninteger sample points improves the estimation accuracy.…”

mentioning

confidence: 99%

Sound Field Interpolation for Rotation-Invariant Multichannel Array Signal Processing

Wakabayashi

Yamaoka

2023

IEEE/ACM Trans. Audio Speech Lang. Process.

View full text Add to dashboard Cite

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

show abstract

Design of Robust Polynomial Beamformers Using Worst Case Performance Optimization via Alternating Direction Method of Multipliers

2023

View full text Add to dashboard Cite

Exploiting Microphone Array Symmetry for Robust Two-Dimensional Polynomial Beamforming

Cited by 5 publications

References 15 publications

Rotation-Robust Beamforming Based on Sound Field Interpolation with Regularly Circular Microphone Array

Rotation-Robust Beamforming Based on Sound Field Interpolation with Regularly Circular Microphone Array

Sound Field Interpolation for Rotation-Invariant Multichannel Array Signal Processing

Design of Robust Polynomial Beamformers Using Worst Case Performance Optimization via Alternating Direction Method of Multipliers

Contact Info

Product

Resources

About