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A Total Lp-Norm Optimization for Bearing-Only Source Localization in Impulsive Noise with SαS Distribution.

Ji-An Luo1, Chang-Cheng Xue1, Ying-Jiao Rong2

  • 1School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China.

Sensors (Basel, Switzerland)
|October 13, 2021
PubMed
Summary

This study introduces a new Total Lp-norm Optimization (TLPO) method for robust bearing-only source localization in impulsive noise. TLPO reduces bias and improves accuracy compared to existing Iteratively Reweighted Pseudolinear Least-Squares (IRPLS) methods.

Keywords:
bearing-onlyleast Lp-normrobust estimationsource localizationtotal Lp-norm optimization

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Area of Science:

  • Signal Processing
  • Acoustics
  • Estimation Theory

Background:

  • Bearing-only source localization is challenging in impulsive noise.
  • Existing Iteratively Reweighted Pseudolinear Least-Squares (IRPLS) methods suffer from bias due to system matrix and noise vector correlation.

Purpose of the Study:

  • To propose a novel Total Lp-norm Optimization (TLPO) method for robust bearing-only source localization.
  • To mitigate bias in source localization caused by impulsive noise with symmetric α-stable distribution.

Main Methods:

  • Developed the Total Lp-norm Optimization (TLPO) method by minimizing errors in system matrix and data vector.
  • Derived an equivalent form of TLPO.
  • Implemented two algorithms: Iterative Generalized Eigenvalue Decomposition (IGED) and Generalized Lagrange Multiplier (GLM) to solve the TLPO problem.

Main Results:

  • The proposed TLPO method effectively reduces bias in bearing-only source localization.
  • Numerical examples show IGED and GLM algorithms outperform the traditional IRPLS algorithm.
  • Demonstrated improved performance in impulsive noise environments with symmetric α-stable distributions.

Conclusions:

  • The TLPO method offers a more robust and accurate approach to bearing-only source localization.
  • IGED and GLM algorithms provide efficient solutions for the TLPO problem.
  • This research contributes to improved underwater acoustic localization and tracking systems.