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Related Concept Videos

Linear Approximation in Frequency Domain01:26

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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
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Updated: Jan 16, 2026

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Near-Field Source Localization in Nonuniform Noise: An Efficient Symmetric Matrix Factorization-Based Approach.

Wenze Song1, Zhenqing He1,2, Guohao Sun1,3

  • 1School of Aeronautics and Astronautics, Sichuan University, Chengdu 610065, China.

Sensors (Basel, Switzerland)
|September 27, 2025
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Summary
This summary is machine-generated.

This study presents a robust method for near-field source localization under unknown nonuniform noise. The novel approach accurately estimates signal sources and noise variances, outperforming existing techniques.

Keywords:
majorization–minimizationnear-field source localizationnonuniform noisesymmetric matrix factorization

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Area of Science:

  • Signal Processing
  • Array Signal Processing
  • Electromagnetics

Background:

  • Near-field source localization is crucial for various applications.
  • Existing methods often struggle with unknown nonuniform noise.
  • Noise heterogeneity can significantly degrade localization accuracy.

Purpose of the Study:

  • To develop a robust near-field source localization method for multiple narrowband signals.
  • To address the challenge of unknown nonuniform noise with arbitrary diagonal covariance.
  • To improve localization accuracy and robustness in complex noise environments.

Main Methods:

  • Reformulated the problem as joint symmetric matrix factorization and noise variance estimation.
  • Developed an iterative algorithm based on the block majorization-minimization principle.
  • Derived the Cramér-Rao bound (CRB) for near-field localization under nonuniform noise.

Main Results:

  • The proposed algorithm achieves high accuracy in near-field source localization.
  • Demonstrated superior performance compared to state-of-the-art methods.
  • The approach shows strong robustness against severe nonuniform noise.

Conclusions:

  • The novel covariance-fitting approach effectively handles nonuniform noise.
  • The developed iterative algorithm is computationally efficient.
  • The method provides near-optimal performance, closely matching the derived CRB.