论文标题
传播延迟的扩散LMS：稳定性和性能分析
Diffusion LMS with Communication Delays: Stability and Performance Analysis
论文作者
论文摘要
我们研究了节点之间存在通信延迟的自适应网络的分布式估计问题。特别是，我们研究了扩散最小值平方（LMS）策略，其中在组合步骤中采用了延迟的中间估计值（由于通信渠道）。一个重要的问题是：延迟会影响稳定性条件和性能吗？为了回答这个问题，我们对扩散LMS的平均值和均值误解进行了详细的性能分析，并具有延迟的估计值。提供稳定性条件，瞬态和稳态均方相差（MSD）表达式。主要发现之一是，具有延迟的扩散LMS仍然可以在无延迟的扩散LMS的相同台阶条件下收敛。最后，仿真结果说明了理论发现。
We study the problem of distributed estimation over adaptive networks where communication delays exist between nodes. In particular, we investigate the diffusion Least-Mean- Square (LMS) strategy where delayed intermediate estimates (due to the communication channels) are employed during the combination step. One important question is: Do the delays affect the stability condition and performance? To answer this question, we conduct a detailed performance analysis in the mean and in the mean-square-error sense of the diffusion LMS with delayed estimates. Stability conditions, transient and steady-state mean-square-deviation (MSD) expressions are provided. One of the main findings is that diffusion LMS with delays can still converge under the same step-sizes condition of the diffusion LMS without delays. Finally, simulation results illustrate the theoretical findings.
