Decentralized GNSS at Global Scale via Graph-Aware Diffusion Adaptation

Fuente: arXiv
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Hauptverfasser: Zheng, Xue Xian, Liu, Xing, Al-Naffouri, Tareq Y.
Format: Preprint
Veröffentlicht: 2025
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author Zheng, Xue Xian
Liu, Xing
Al-Naffouri, Tareq Y.
author_facet Zheng, Xue Xian
Liu, Xing
Al-Naffouri, Tareq Y.
contents Network-based Global Navigation Satellite Systems (GNSS) underpin critical infrastructure and autonomous systems, yet typically rely on centralized processing hubs that limit scalability, resilience, and latency. Here we report a global-scale, decentralized GNSS architecture spanning hundreds of ground stations. By modeling the receiver network as a time-varying graph, we employ a deep linear neural network approach to learn topology-aware mixing schedules that optimize information exchange. This enables a gradient tracking diffusion strategy wherein stations execute local inference and exchange succinct messages to achieve two concurrent objectives: centimeter-level self-localization and network-wide consensus on satellite correction products. The consensus products are broadcast to user receivers as corrections, supporting precise point positioning (PPP) and precise point positioning-real-time kinematic (PPP-RTK). Numerical results demonstrate that our method matches the accuracy of centralized baselines while significantly outperforming existing decentralized methods in convergence speed and communication overhead. By reframing decentralized GNSS as a networked signal processing problem, our results pave the way for integrating decentralized optimization, consensus-based inference, and graph-aware learning as effective tools in operational satellite navigation.
format Preprint
id arxiv_https___arxiv_org_abs_2512_18773
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Decentralized GNSS at Global Scale via Graph-Aware Diffusion Adaptation
Zheng, Xue Xian
Liu, Xing
Al-Naffouri, Tareq Y.
Signal Processing
Network-based Global Navigation Satellite Systems (GNSS) underpin critical infrastructure and autonomous systems, yet typically rely on centralized processing hubs that limit scalability, resilience, and latency. Here we report a global-scale, decentralized GNSS architecture spanning hundreds of ground stations. By modeling the receiver network as a time-varying graph, we employ a deep linear neural network approach to learn topology-aware mixing schedules that optimize information exchange. This enables a gradient tracking diffusion strategy wherein stations execute local inference and exchange succinct messages to achieve two concurrent objectives: centimeter-level self-localization and network-wide consensus on satellite correction products. The consensus products are broadcast to user receivers as corrections, supporting precise point positioning (PPP) and precise point positioning-real-time kinematic (PPP-RTK). Numerical results demonstrate that our method matches the accuracy of centralized baselines while significantly outperforming existing decentralized methods in convergence speed and communication overhead. By reframing decentralized GNSS as a networked signal processing problem, our results pave the way for integrating decentralized optimization, consensus-based inference, and graph-aware learning as effective tools in operational satellite navigation.
title Decentralized GNSS at Global Scale via Graph-Aware Diffusion Adaptation
topic Signal Processing
url https://arxiv.org/abs/2512.18773