Formulation and steady‐state analysis of diffusion mobile adaptive networks with noisy links

Abstract

In this study, the effects of noisy links are investigated on the steady‐state performance of mobile adaptive networks with diffusion least mean‐squares strategies. The authors derive theoretical relations which explain how the steady‐state performance metrics, including the steady‐state network mean‐square deviation and steady‐state velocity mean‐square‐error is affected by noisy links. The provided analysis relies on the spatial–temporal energy conservation argument. The proposed simulation results reveal that although the noisy links degrade the performance of mobile adaptive networks; however, for suitably chosen combination coefficients the mobile adaptive network with noisy links provides a bounded estimation error. Finally, the proposed simulations verify that the derived theoretical analysis closely matches the actual steady‐state performance observed in a network.