cs.ROSep 23, 2026

Dynamic, Decentralized Spatial Code Reuse for OCDMA LiDAR in Robot Swarms

Authors: Mohammad Hani Alomari

Organizations: Mechanical and Maintenance Engineering Department German Jordanian University Amman, Jordan

Abstract

Robots in a LiDAR-equipped swarm mutually interfere when their optical ranging codes collide. Existing mitigations either assign codes statically -- requiring L=NL=N distinguishable codes for NN robots -- or react to detected interference without a scalable, coordinated assignment rule beneath them; prior work explicitly identifies the code-assignment scaling problem as unsolved. We propose a decentralized protocol in which robots dynamically reassign spatial reuse codes based on a live, beacon-maintained interference-neighborhood graph, and prove that the number of codes required grows as O(log⁡N/log⁡log⁡N)O(\log N/\log\log N) under constant robot density -- an unbounded improvement over the Θ(N)Θ(N) growth of static assignment. We validate this result under conditions substantially beyond the idealized proof -- robot mobility, imperfect beacon-based detection, and reactive reassignment -- via Monte Carlo simulation (30 seeds per condition, 95% confidence intervals): the advantage over static assignment widens from roughly 2×2\times at 15 robots to 12×12\times at 120. Against a structurally faithful, fairly constructed model of an existing coordination-free approach, our protocol achieves both substantially greater code-reuse efficiency and 30--40% lower collision risk under an identical, constrained code budget, demonstrating that coordination -- not merely reactivity -- is what closes the scaling gap.

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