# An Event-based Diffusion LMS Strategy

## TL;DR

This paper introduces an energy-efficient event-based diffusion LMS algorithm for wireless sensor networks, reducing communication while maintaining estimation accuracy and steady-state performance.

## Contribution

It proposes a novel event-based communication strategy for diffusion LMS, significantly lowering energy consumption without compromising steady-state error.

## Key findings

- Reduces network energy consumption significantly.
- Maintains steady-state network MSD comparable to traditional methods.
- Proves boundedness of mean error and MSD in steady state.

## Abstract

We consider a wireless sensor network consists of cooperative nodes, each of them keep adapting to streaming data to perform a least-mean-squares estimation, and also maintain information exchange among neighboring nodes in order to improve performance. For the sake of reducing communication overhead, prolonging batter life while preserving the benefits of diffusion cooperation, we propose an energy-efficient diffusion strategy that adopts an event-based communication mechanism, which allow nodes to cooperate with neighbors only when necessary. We also study the performance of the proposed algorithm, and show that its network mean error and MSD are bounded in steady state. Numerical results demonstrate that the proposed method can effectively reduce the network energy consumption without sacrificing steady-state network MSD performance significantly.