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Off-grid direction of arrival estimation based on joint spatial sparsity for distributed sparse linear arrays.

Yujie Liang1, Rendong Ying2, Zhenqi Lu3

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This study introduces a new method for joint direction-of-arrival (DOA) estimation using distributed sparse linear arrays (SLAs). The approach enhances array aperture and improves estimation performance for complex source distributions.

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Area of Science:

  • Array signal processing
  • Compressed sensing
  • Statistical signal processing

Background:

  • Array aperture size significantly impacts estimation performance and system cost in sensor array design.
  • Accurate direction-of-arrival (DOA) estimation is crucial for various applications.

Purpose of the Study:

  • To propose an off-grid synchronous approach for joint DOA estimation using distributed sparse linear arrays (SLAs).
  • To achieve a larger effective array aperture and improve estimation performance in practical scenarios with complex source distributions.

Main Methods:

  • Developing an off-grid synchronous approach based on distributed compressed sensing.
  • Classifying sources into common and innovation parts based on signal impingement on SLAs.
  • Constructing virtual uniform linear arrays (ULAs) for each SLA to establish signal relationships.
  • Abstracting signal ensembles into a joint spatial sparsity model.
  • Utilizing minimization of concatenated atomic norm via semidefinite programming for DOA estimation.

Main Results:

  • The proposed method effectively increases the array aperture by exploiting redundancy from common sources across distributed SLAs.
  • Joint calculation of signals from all SLAs decreases the requirement for individual array size.
  • Numerical results demonstrate the advantages of the proposed approach in joint DOA estimation.

Conclusions:

  • The off-grid synchronous approach offers a promising solution for joint DOA estimation with distributed SLAs.
  • The method effectively handles complex source distributions and improves system performance.
  • This technique provides a more cost-effective and efficient solution for sensor array design.