Estimation of boundary position by direction-of-arrivals of direct and reflected sound

Compassing the spatial shape is used out of developing surround speaker system or signal enhancement. To reconstruct the boundary positions, conventional methods offer an array consists of a large number of elements (e.g. microphones and loudspeakers). This research aims to estimate the correct boundary position using a small number of microphones, by developing a signal processing method which utilizes the direction of arrival(DOA) of direct and reflected sounds. The performance of the proposed method is evaluated in numerical simulation in which the human voice is assumed to be a sound source. From the obtained results, we found that the estimation result involves some errors due to approximations in the proposed algorithm. However, we also found that employment of the correction function is effective to minimize the estimation error. As a result, the proposed method may achieve compassing the spatial shape using a small number of microphones with actual calculation cost.