Sound Sources Reconstruction based on the Non-synchronous Measurements of Microphone Arrays and Equivalent Sources Modeling

Abstract

Equivalent source method (ESM) arouses a lot of interests in the field of noise source identification and fault diagnosis. However, the performance of ESM tends to be limited by the insufficient microphones, because the size of holography plane should be larger or consistent with the sound source plane. In this paper, the non-synchronous measurement (NSM) is used as a powerful tool to extend the number of microphones in the holography plane. First, ESM is reformulated under the form of NSM aiming to reconstruct the distributed acoustic source. Then, the phase-missing cross spectral matrix (CSM) is completed considering the low-rankness of acoustic source and continuity of acoustic field via FISTA algorithm. Finally, the complex acoustic pressure of a synthetic array with NSM can be obtained for ESM. The proposed method is validated by an excited steel plane sound source reconstruction.