Abstract
The two-dimensional (2D) grid-free compressive beamforming based on atomic norm minimization is a promising solution for estimating the source direction-of-arrival and quantifying the source strength. However, the existing method is limited to measuring with rectangular grid arrays. To overcome this limitation, a 2D grid-free compressive beamforming strategy for arbitrary planar array geometries is proposed, where the microphone pressure is transformed into a representation of 2D Fourier series expansion. The term truncation method of Fourier series polynomials is established. The effectiveness and feasibility of the proposed method in the acoustic source identification are preliminarily verified by an experimental case, and topics worthy of further study are discussed based on the numerical simulations.
Published Version
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