3D reconstruction from adaptive matrix microphone array signals using back projection algorithm

We propose a new technique for acoustic imaging that employs the back projection algorithm to process signals from a static ultrasonic microphone array. To obtain a projection data of a target, we integrate the time distribution of received signal powers gained by pulse compression with the Radon transform of a sound field in the spherical polar coordinates. In case of 2D imaging, the proposed method is expected to improve angular resolution [1]. In this paper we describe the principle of the proposed algorithm for 2D imaging, and explained how it was extended to 3D imaging. This proposed 3D imaging method allow us to rapidly obtain imaging results of areas of interest. We conducted a computer simulation to verify the performance of the proposed algorithm. In our future works, we plan to conduct experiments in real environments and deeply investigate the theoretical aspects of the proposed method.