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A Multidimensional Matrix Completion Method for 2-D DOA Estimation with L-Shaped Array.

Haoyue Zhang1, Junpeng Shi1, Zhihui Li1

  • 1College of Electronic Countermeasure, National University of Defense Technology, Hefei 230037, China.

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|September 13, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a new method for two-dimensional direction-of-arrival estimation using L-shaped arrays. The approach enhances accuracy by utilizing both self-correlation and joint sparsity in the covariance matrix.

Keywords:
2-D DOA estimationL-shaped arraymultidimensional matrix completionsparse covariance fitting

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Area of Science:

  • Signal Processing
  • Array Signal Processing
  • Electromagnetics

Background:

  • Accurate direction-of-arrival (DOA) estimation is crucial for various applications.
  • Existing sparse methods for L-shaped arrays often neglect self-correlation information, limiting performance.
  • Degradation in estimation accuracy is a known issue with conventional techniques.

Purpose of the Study:

  • To propose a novel multidimensional matrix completion method for 2-D DOA estimation.
  • To leverage joint sparsity and redundant correlation information for improved accuracy.
  • To address the limitations of existing sparse methods by incorporating self-correlation.

Main Methods:

  • A multidimensional matrix completion technique is developed.
  • The method utilizes joint sparsity and redundant correlation within the covariance matrix.
  • A semidefinite program based on covariance fitting is formulated and shown equivalent to atomic norm minimization.
  • The alternating direction method of multipliers (ADMM) is employed for computational efficiency.

Main Results:

  • The proposed method reconstructs a structured matrix coupling the two DOA parameters.
  • Numerical results validate the theoretical analysis.
  • Demonstrated superior estimation accuracy compared to existing methods.
  • Showcased enhanced identifiability and resolution capabilities.

Conclusions:

  • The developed multidimensional matrix completion method offers significant improvements in 2-D DOA estimation.
  • Incorporating self-correlation and joint sparsity enhances performance.
  • The method provides a computationally efficient and accurate solution for L-shaped array DOA estimation.