Sound field reconstruction using improved ℓ1-norm and the Cauchy penalty method

Abstract

Automotive noise source identification is important for improving driving comfort and protecting people’s auditory health. However, the stable, accurate and fast identification of low-frequency target sound sources has always been a difficult problem in the field of automotive noise source identification and sound field reconstruction. To this end, a new sound field reconstruction method, ℓ₁-Cauchy plus, is proposed in this paper, which firstly utilizes the WBH method to derive the target equivalent source strength, which is then used as the initial value for the iteration, and solved by applying the ℓ₁-Cauchy sound field reconstruction method. This hybridization process endows the proposed method with better amplitude reconstruction and improves the reconstruction of the source signal, enabling it to reconstruct the target source more efficiently in low-frequency environments. The experimental results show that the proposed method is able to accurately reconstruct the low-frequency target sound source, which is of practical application value for automobile noise control and other fields.