Some insights into farfield wideband beamformers in the presence of microphone mismatches

Abstract

In this paper, the performance analysis is carried out for farfield wideband beamformers with microphone mismatches, from the perspective of variance analysis of array response. Some insightful properties on farfield wideband beamformers have been revealed, which are helpful to better understand the robustness of farfield wideband beamformers. The comparative study is performed, regarding the effects of microphone position errors, and of microphone gain and phase errors on farfield wideband beamformers. It is found that the effects of microphone position errors depend on source angle of arrival as well as the temperature in homogeneous environments, while these factors have little impact on the effects of microphone gain and phase errors. Several numerical examples are presented to further confirm the theoretical results.Index Terms-Microphone array, wideband beamformer, robustness, microphone mismatches.

Effects of Sensor Position Errors on Farfield/Nearfield Wideband Beamformers for Microphone Arrays

“…As shown in (31), the matrix x (r, f ) is positive semidefinite. Using Lemma 1, we obtain the matrix ( f ) is also positive semi-definite.…”

“…Recently, the effect of microphone position Farfield/Nearfield wideband beamformer configuration and the definition of the coordinate system. errors to the performance of farfield wideband beamformers is studied in [31] by performing variance analysis of array response. However, the work has the same limitation that, it assumes the use of a linear array and that microphone position errors occur only along the array axis.…”