Pressure field of acoustic sensor of order q

Abstract

The order of sensors has been defined related to the order of the Taylor series approximation of the pressure field at that point. Following this definition, the pressure, vector, and sensor is of order zero, one, and two, respectively. For this theoretical study, a multi-channel three-dimensional spatial ¯lter is derived for a directional acoustic sensor of arbitrary order. There are found formulas for pressure field and beam pattern of the directional acoustic sensor.