On the Optimal Transmission Scheme to Maximize Local Capacity in Wireless Networks

TL;DR

This paper identifies the optimal transmission pattern in 2D wireless networks to maximize local capacity, demonstrating that a triangular grid arrangement outperforms traditional schemes like slotted ALOHA.

Contribution

It introduces a grid-based optimal transmission scheme for maximizing local capacity and compares its performance with existing protocols like slotted ALOHA.

Findings

Triangular grid pattern maximizes local capacity.

Slotted ALOHA achieves at least half of the maximum capacity.

Analytical and numerical methods validate the optimal pattern.

Abstract

We study the optimal transmission scheme that maximizes the local capacity in two-dimensional (2D) wireless networks. Local capacity is defined as the average information rate received by a node randomly located in the network. Using analysis based on analytical and numerical methods, we show that maximum local capacity can be obtained if simultaneous emitters are positioned in a grid pattern based on equilateral triangles. We also compare this maximum local capacity with the local capacity of slotted ALOHA scheme and our results show that slotted ALOHA can achieve at least half of the maximum local capacity in wireless networks.