Two-dimensional grid-free compressive beamforming with a planar microphone array is a potential approach to estimating direction-of-arrivals (DOAs) and quantifying the strengths of acoustic sources in front of the array. The existing methods involve a prior noise parameter, which is challenging to accurately estimate in many situations. To circumvent this prior parameter, an iterative Vandermonde decomposition and shrinkage-thresholding based two-dimensional grid-free compressive beamforming is proposed. Compared to the existing methods with accurately estimated noise, the proposed method achieves an equivalent DOA estimation accuracy and a higher source strength quantification accuracy.

中文翻译：

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基于迭代范德蒙德分解和收缩阈值的二维无网格压缩波束成形

带有平面麦克风阵列的二维无网格压缩波束形成是一种估计到达方向（DOA）并量化阵列前声源强度的潜在方法。现有方法涉及先验噪声参数，这在许多情况下难以准确估计。为了规避此先验参数，提出了基于迭代范德蒙德分解和收缩阈值的二维无网格压缩波束成形方法。与现有的具有精确估计噪声的方法相比，该方法可达到等效的DOA估计精度和更高的源强度量化精度。