{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12089",
  "author_total": 3,
  "authors": [
    {
      "name": "Yasin Bastug"
    },
    {
      "name": "Erencem Ozbey"
    },
    {
      "name": "H. Birkan Yilmaz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0d5xm84s4a3ba.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12089",
  "fulltext_url": null,
  "id": "0d5xm84s4a3ba",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12089",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "cs.LG"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "2204|Molecular Communication and Nanonetworks"
    ]
  ],
  "openalex": "W7212498621",
  "pdf_url": "https://arxiv.org/pdf/2609.12089",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0d5xm84s4a3ba.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2609.12089",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12089"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Receiver-Surface Hit Patterns via Legendre Approximation for Molecular Signal Detection",
  "title_text": "Receiver-Surface Hit Patterns via Legendre Approximation for Molecular Signal Detection",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/0d5xm84s4a3ba",
  "venue": "arXiv",
  "versions": []
}