Abstract
A unified framework is proposed for analysis and synthesis of spatial reverberant sound fields. In sound field analysis (SFA), a 24-element circular microphone array (CMA) is utilized to encode the sound field based on plane-wave decomposition, whereas in sound field synthesis (SFS) a 32-element rectangular loudspeaker array is employed to decode the encoded sound field using pressure matching technique. Depending on the sparsity of the sound sources, the SFA stage can be implemented in two ways. For the sparse-source scenario, a two-stage algorithm is utilized to estimate the source bearings using the minimum power distortionless response (MPDR) and the associated amplitudes of plane waves using the Tikhonov regularization (TIKR) algorithm. Alternatively, a one-stage algorithm based on compressive sensing (CS) algorithm can be used. For the nonsparse-source scenario, a one-stage TIKR algorithm is utilized to solve for the amplitudes for plane-wave components uniformly distributed in the angular domain. The SFA technique for the nonsparse source scenario is also useful in establishing the room response model, as required in the pressure matching step of the SFS phase. The integrated acoustic array system is validated with localization and listening tests.