A class of diffusion LMS algorithm with variable fractional order gradient
For the parameter estimation issues in distributed networks,this paper mainly proposes a class of diffusion least mean squares(LMS)algorithm.A variable mechanism of fractional gradient orders is introduced to enhance the performance of the proposed algorithm.First,we extend the centralized fractional gradient LMS algorithms to the parameter estimation problems in distributed networks and study the convergence speed and accuracy of the proposed algorithm.Second,considering the effect of fractional orders on algorithm performance,a strategy with variable fractional orders is introduced to enhance the convergence performance of the proposed algorithm by giving full play to the advantage of fractional orders.Besides,we also prove the convergence of the proposed algorithm under switched topologies.Finally,some numerical simulation results are provided to validate the effectiveness and superiority of the proposed algorithm from the aspects of convergence speed,accuracy,and robustness.
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