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A preliminary study on two-dimensional grid-free compressive beamforming for arbitrary planar array geometries.

Zhigang Chu1, Yanli Liu1, Yang Yang1

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This summary is machine-generated.

This study introduces a new 2D grid-free compressive beamforming method for arbitrary sensor arrays. The technique enhances acoustic source identification by overcoming limitations of previous rectangular grid-based approaches.

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Area of Science:

  • Acoustics
  • Signal Processing
  • Array Signal Processing

Background:

  • Two-dimensional (2D) grid-free compressive beamforming using atomic norm minimization is effective for direction-of-arrival estimation and source strength quantification.
  • Current methods are restricted to rectangular grid arrays, limiting their application to arbitrary planar geometries.

Purpose of the Study:

  • To propose a novel 2D grid-free compressive beamforming strategy applicable to arbitrary planar array geometries.
  • To extend the capabilities of atomic norm minimization for acoustic source identification.

Main Methods:

  • Microphone pressure data is transformed using a 2D Fourier series expansion.
  • A term truncation method for Fourier series polynomials is developed and applied.
  • The proposed strategy is validated through experimental acoustic source identification.

Main Results:

  • The proposed method demonstrates feasibility for acoustic source identification with arbitrary planar arrays.
  • Preliminary experimental results confirm the effectiveness of the grid-free approach.
  • Numerical simulations highlight areas for future research and development.

Conclusions:

  • The developed 2D grid-free compressive beamforming strategy successfully accommodates arbitrary planar array geometries.
  • This advancement broadens the applicability of compressive beamforming in acoustic source localization.
  • Further research is warranted to optimize the method and explore advanced applications.