Fundamental Performance Limits of mm-Wave Cooperative Localization in Linear Topologies

TL;DR

This paper derives fundamental performance limits for mm-wave cooperative localization in linear sensor networks, showing that anchor node quantity impacts accuracy more than antenna count, with closed-form bounds indicating sub-meter precision over hundreds of nodes.

Contribution

It provides the first analytical performance bounds for mm-wave cooperative localization in linear topologies, highlighting the influence of anchor nodes and deriving explicit error bounds.

Findings

Anchor node number significantly affects localization accuracy.

Closed-form expressions for position error bounds are derived.

Sub-meter accuracy achievable over hundreds of nodes.

Abstract

In applications such as seismic acquisition, the position information of sensor nodes, that are deployed in a linear topology, is desired with sub-meter accuracy in the presence of a limited number of anchor nodes. This can be achieved with antenna arrays via mm-wave cooperative localization, whose performance limits are derived in this letter. The number of anchor nodes is seen to have a stronger impact than the number of antenna elements in the anchor nodes. Succinct closed-form expressions for the position error bound are also obtained for 1-hop and 2-hop cooperative localization, where sub-meter accuracy is perceived over several hundred nodes.