Diffusion minimum-Wilcoxon-norm over distributed adaptive networks: Formulation and performance analysis

Abstract

This paper deals with the development of robust diffusion strategy for wireless sensor networks using minimum-Wilcoxon-norm. The Wilcoxon norm based robust estimation now-a-days has drawn the attention of the signal processing community for its scale equivariant property and simplicity. Exhaustive mathematical analysis has been presented to obtain the proposed diffusion minimum-Wilcoxon-norm (dMWN) algorithm. Steady state performance analysis of the algorithm has also been carried out to show the stability of the proposed method. Asymptotic linearity of rank test [1] is used for the convergence analysis of the proposed method. Extensive simulations have been given to demonstrate the efficacy of the proposed algorithm.