Measurement of sonic boom with optimal planar microphone array in far field

Planar microphone arrays are effectively used to measure and estimate the arrival angle of the sonic boom impinging on the ground. For the arrival angle estimation of sonic boom, the time difference model is more effective than the time and the phase signal model which is commonly used in array signal processing, because sonic boom signals are more likely to be overlapped by its reflection and diffraction. In this paper, performance analysis of arrival angle estimation with respect to its design is studied. The optimal sensor positions are presented in case of prediction of the arrival angle is given through the Cramer-Rao bound.