Analysis of Channel Access Schemes for Model-based Estimation over Multi-access Networks

This paper investigates the performance of model-based estimation over multi-access networks and emphasizes on the estimation MSE (mean squared error) while using different channel access schemes: probabilistic (random access), deterministic (round-robin scheduling), and combined (grouped channel access). We propose a mathematical framework for estimation over a simple multi-access MAC protocol, the slotted ALOHA network. Estimation MSE, its asymptotic behavior and stability condition are derived for different channel access methods. Our quantitative discussion can provide guidelines to design the communication logic for those control systems built on top of multi-access networks.