Errors arising from three-dimensional energy density sensing in one-dimensional sound fields

Abstract

The performance of four different configurations of three-dimensional acoustic energy density sensors are evaluated for two idealized one-dimensional sound field: a reactive single mode and a propagating plane wave. The 4 configurations of sensors are; two types of 4-microphone arrangements, a 6-microphone arrangement and a 7-microphone arrangement. Like the companion paper for one-dimensional sensors by the same authors this paper investigates the bias errors arising from four error types: inherent, phase mismatch, sensitivity mismatch and spatial errors. It is shown that for plane wave conditions a 4-microphone arrangement is more accurate than the “standard” 6-microphone arrangement.