🤖 AI Summary
For 6G open RAN, jointly optimizing spectral margin and latency tail (e.g., 99.9%-ile) remains challenging under stringent delay constraints (5–20 ms).
Method: We propose the Network-Optimized Spiking (NOS) scheduler—a novel spiking neural network architecture that unifies topology, control gain, and latency via the spectral margin parameter δ. It features a dual-state spiking kernel, clique-feasible proportional-fair grant header, and interference-graph-based latency-triggered spike injection. We further derive the delay-dependent threshold k⋆(Δ) and rigorously prove geometric ergodicity, sub-Gaussian backpressure bounds, and latency tail guarantees.
Results: Under fixed single gain, NOS significantly outperforms conventional PF and delay-aware backpressure: it improves network utilization, reduces tail latency, and ensures clique feasibility on integer PRBs—demonstrating robustness and practicality for real-time 6G RAN scheduling.
📝 Abstract
This work presents a Network-Optimised Spiking (NOS) delay-aware scheduler for 6G radio access. The scheme couples a bounded two-state kernel to a clique-feasible proportional-fair (PF) grant head: the excitability state acts as a finite-buffer proxy, the recovery state suppresses repeated grants, and neighbour pressure is injected along the interference graph via delayed spikes. A small-signal analysis yields a delay-dependent threshold $k_star(Δ)$ and a spectral margin $δ= k_star(Δ) - gHρ(W)$ that compress topology, controller gain, and delay into a single design parameter. Under light assumptions on arrivals, we prove geometric ergodicity for $δ>0$ and derive sub-Gaussian backlog and delay tail bounds with exponents proportional to $δ$. A numerical study, aligned with the analysis and a DU compute budget, compares NOS with PF and delayed backpressure (BP) across interference topologies over a $5$--$20$,ms delay sweep. With a single gain fixed at the worst spectral radius, NOS sustains higher utilisation and a smaller 99.9th-percentile delay while remaining clique-feasible on integer PRBs.