Diffusion sign-error LMS algorithm: Formulation and stochastic behavior analysis

• Published in: Signal processing Vol. 128; pp. 142 - 149
• Main Authors: Ni, Jingen, Chen, Jie, Chen, Xiaoping
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2016
• Subjects: Adaptive networks; Algorithms; Diffusion; Diffusion strategy; Gaussian; Impulsive interference; Interference; Noise; Noise measurement; Sign-error LMS algorithm; Stochastic behavior; Stochasticity; Theorems; Adaptive networks; Impulsive interference; Stochastic behavior; Diffusion strategy; Sign-error LMS algorithm
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2016.03.022

In the case where the measurement noise involves impulsive interference, distributed estimation algorithms based on the mean-square error (MSE) criterion may suffer from severely degraded convergence performance or divergence. To address this problem, we modify the adapt-then-combine (ATC) diffusion LMS (DLMS) algorithm by applying the sign operation to the error signals at all agents to develop a diffusion sign-error LMS (DSE-LMS) algorithm. Furthermore, the stochastic behavior of the DSE-LMS algorithm is analyzed for Gaussian inputs and contaminated Gaussian noise based on Price's theorem. Simulation results show the robustness of the DSE-LMS algorithm against impulsive interference and validate the theoretical findings. •The diffusion LMS algorithm may suffer from severely degraded convergence performance in impulsive interference environments.•The proposed diffusion sign-error LMS algorithm is robust against impulsive interferences.•The stochastic behavior of the diffusion sign-error LMS algorithm is analyzed based on Price's theorem.