Sparse regularization has been successfully applied to equivalent source method (ESM) in order to improve the acoustic imaging resolution. However, the application is not always feasible, especially at low frequencies. To overcome the problem, this paper proposes a high-resolution acoustic imaging method. In this method, reweighted l1 minimization is introduced to ESM to deal with the ill-posed inverse problems. Then the obtained equivalent source strengths are used to locate the sound sources. Compared to the sparse regularization-based ESM, the proposed method can provide a low side lobe and higher spatial resolution of acoustic imaging. Meanwhile, by arranging equivalent sources in three-dimensional space, the proposed method can also realize the acoustic imaging in three-dimensional sound field with high resolution. The results of the simulation and experiment demonstrate the validations.

中文翻译：

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基于等效源法和重新加权l1最小化的高分辨率声学成像方法

稀疏正则化已成功应用于等效源方法（ESM）以提高声学成像分辨率。然而，该应用并不总是可行，特别是在低频下。为了克服这个问题，本文提出了一种高分辨率声学成像方法。在该方法中，重新加权 l1ESM 中引入最小化来处理不适定逆问题。然后利用获得的等效源强度来定位声源。与基于稀疏正则化的ESM相比，该方法可以提供低旁瓣和更高的声学成像空间分辨率。同时，通过在三维空间布置等效声源，该方法还可以实现三维声场的高分辨率声学成像。仿真和实验结果验证了该方法的有效性。