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PreprintCC BY 4.0arXiv

Receiver-Surface Hit Patterns via Legendre Approximation for Molecular Signal Detection

  • Yasin Bastug
  • Erencem Ozbey
  • H. Birkan Yilmaz
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Abstract

Detecting whether a transmitter is actively communicating with a receiver is a fundamental problem in molecular communications. A spherical receiver may measure not only the number and arrival times of absorbed molecules, but also their absorption locations on the receiver surface. These locations contain a directional signature that is lost in count-only detection. In this letter, we develop a molecular signal detector based on a Legendre polynomial expansion of the receiver-surface hit density and extend it to a Legendre-based Viterbi sequence detector. By exploiting the surface-level directional signature of molecular arrivals, the proposed detectors provide geometry-aware, efficient, and better-performing alternatives to count-only detection.

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Cite

BibTeXRIS
BibTeX
@misc{bastug2026receiversurface,
  title = {{Receiver-Surface Hit Patterns via Legendre Approximation for Molecular Signal Detection}},
  author = {Yasin Bastug and Erencem Ozbey and H. Birkan Yilmaz},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.12089},
  eprint = {2609.12089},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.12089},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Receiver-Surface Hit Patterns via Legendre Approximation for Molecular Signal Detection
AU  - Yasin Bastug
AU  - Erencem Ozbey
AU  - H. Birkan Yilmaz
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.12089
UR  - https://arxiv.org/abs/2609.12089
AB  - Detecting whether a transmitter is actively communicating with a receiver is a fundamental problem in molecular communications. A spherical receiver may measure not only the number and arrival times of absorbed molecules, but also their absorption locations on the receiver surface. These locations contain a directional signature that is lost in count-only detection. In this letter, we develop a molecular signal detector based on a Legendre polynomial expansion of the receiver-surface hit density and extend it to a Legendre-based Viterbi sequence detector. By exploiting the surface-level directional signature of molecular arrivals, the proposed detectors provide geometry-aware, efficient, and better-performing alternatives to count-only detection.
ER  -