Robust Recursive Widely Linear Diffusion Adaptive Filtering With Linear Constraint

Guobing Qian

doi:10.1109/TAES.2026.3654906

Robust Recursive Widely Linear Diffusion Adaptive Filtering With Linear Constraint

2026-01-16

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DOI：10.1109/TAES.2026.3654906

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Modern distributed estimation systems, particularly in distributed sensor networks, including those for radar and navigation, frequently involve processing complex-valued signals corrupted by intricate noise within linear constraint. The conventional diffusion adaptive filters often lack robustness in such challenging environments and fail to incorporate structural constraints, limiting their practical effectiveness. This article proposes a widely linear diffusion constrained complex Gaussian mixture model (CGMM) algorithm. The parameters of the proposed algorithm are optimized by a dedicated expectation–maximization approach derived for the CGMM. Theoretical analysis establishes the convergence and steady-state performance of the designed algorithm under linear constraint. Extensive simulations across diverse noise distributions with linear constraint demonstrate the superior estimation accuracy of the designed method, particularly in scenarios where traditional approaches falter, and confirm the validity of the theoretical performance evaluation.

Keywords:

Complex Gaussian mixture model (CGMM)

constrained adaptive filtering

diffusion

recursive estimation

widely linear

Robust Recursive Widely Linear Diffusion Adaptive Filtering With Linear Constraint

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