Sound Field Reconstruction of Plate Using Compressed Singular Value Decomposition Equivalent Source Method Combined with Generalized Inverse of Matrix

The near-field acoustic holography based on the equivalent source method is limited by array aperture and is only suitable for low-frequency acoustic field reconstruction. The compressed equivalent source method, based on the assumption of the sparsity of sound sources, has a wider analysis frequency band, but its accuracy is poor in terms of reconstructing the sound field of spatial continuous sound sources. In this study, a compressed singular value decomposition equivalent source method combined with generalized matrix (GIM-CSVDESM) is proposed, a set of basic functions is derived by combining the generalized inverse matrix principle with the compressed singular value equivalent source method, and the sparse reconstruction of the sound field is realized using this set of basic functions under the framework of the compressed equivalent source method. Numerical simulation reveals that GIM-CSVDESM has a high reconstruction accuracy for the sound field of the fixed plate and is less affected by the layout of the equivalent source. Finally, the correctness and effectiveness of GIM-CSVDESM are verified via the fixed plate experiment.