Reverberant sound field reconstruction based on the superposition of orthogonal spherical wave sources

In this paper, a new method based on the superposition of orthogonal spherical wave sources is applied to reconstruct the sound field in enclosed spaces on the sound pressures. The desired sound field is reconstructed by the superposition of different orders spherical waves emitted by a source. The sound pressure in any position can be reconstructed using the sound pressures in the predefined positions. Applying the singular value decomposition following a Tikhonov regularization, the solution of the system equation can be determined. The optimal regularization parameter is selected based on the L-curve method. The experiment in an cubic room is conducted by taking sound pressure data of the mode superposition method as input for the reconstruction problem. The simulation shows that the sound field in reverberant environments can be reconstructed using the proposed method in low frequencies if the predictive positions are included in the sampling region of the recorded microphones.