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PreprintCC BY-SA 4.0HAL

Graph neural networks for sampling-invariant embeddings of organized signal sets

Abstract

Sensor networks and radars can deliver signals as organized sets, e.g. ordered signals, signals describing range cells within a grid or signals perceived as graph nodes. Within such sets, individual signals may be characterized by distinct sampling parameters. This paper investigates organized signal sets neural network encoders. In the context of this work, the purpose of such encoders is to project heterogeneously sampled signal sets into an arbitrary fixed-size vectors space. This new representation space is designed so that signal sets can be processed as vectors rid of sampling differences to allow for arbitrary topology-aware processing with no signal processing constraints. Within this representation space designed to reduce the influence of heterogeneous sampling parameters, the relevance of signal sets representations is evaluated by considering signal sets discrimination potential with a focus on waveforms separation. The encoding and embeddings discrimination experiments conducted rely exclusively on synthetic complex-valued radiofrequency signals.

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BibTeX
@misc{bauw2026graph,
  title = {{Graph neural networks for sampling-invariant embeddings of organized signal sets}},
  author = {Martin Bauw and Santiago Velasco-Forero and Jesus Angulo},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  eprint = {2609.35934},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05765618v1},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - Graph neural networks for sampling-invariant embeddings of organized signal sets
AU  - Martin Bauw
AU  - Santiago Velasco-Forero
AU  - Jesus Angulo
PY  - 2026
DA  - 2026/09/28
PB  - HAL
UR  - https://hal.science/hal-05765618v1
AB  - Sensor networks and radars can deliver signals as organized sets, e.g. ordered signals, signals describing range cells within a grid or signals perceived as graph nodes. Within such sets, individual signals may be characterized by distinct sampling parameters. This paper investigates organized signal sets neural network encoders. In the context of this work, the purpose of such encoders is to project heterogeneously sampled signal sets into an arbitrary fixed-size vectors space. This new representation space is designed so that signal sets can be processed as vectors rid of sampling differences to allow for arbitrary topology-aware processing with no signal processing constraints. Within this representation space designed to reduce the influence of heterogeneous sampling parameters, the relevance of signal sets representations is evaluated by considering signal sets discrimination potential with a focus on waveforms separation. The encoding and embeddings discrimination experiments conducted rely exclusively on synthetic complex-valued radiofrequency signals.
ER  -