Iterative Vandermonde decomposition and shrinkage-thresholding based two-dimensional grid-free compressive beamforming
Yanli Liu, Zhigang Chu, Yang Yang · The Journal of the Acoustical Society of America · 2020
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.