Abstract
Modal analysis (MA) is an important technique in structure dynamics and vibration. In acoustics, MA is rarely investigated due to high modal density and complexity. In this paper, a novel approach of MA is proposed for enclosed acoustic field from a perspective of state-space formulation of control systems. The proposed technique is based on single-input-multiple-output (SIMO) state-space model established by using the eigensystem realization algorithm (ERA) for the room. Next, the realization is converted to a modal form from which natural frequencies, damping factors, and mode shapes can be identified. In order to reconstruct a sparse representation of mode shapes, plane-wave decomposition in conjunction with compressive sensing (CS) technique is exploited to formulate an underdetermined inverse problem. Therefore, mode shapes at any arbitrary source-receiver positions can be ＂interpolated＂ on the basis of the realized state space model. Room impulse responses (RIRs) can also be reconstructed with the implementation of theses predicted modal parameters. Finally, three application examples are presented: manifold learning, source localization, and reverberator.