{
  "abstract": "We study the SNR, aperture, and port count needed to meet a target outage in a single-user downlink with a fixed transmit antenna and a single-RF fluid antenna receiver. For known spatially correlated Rayleigh channels and ideal port selection, a sampling-free residual certificate controls reduced-rank outage error over a continuous SNR interval. Positive Bessel features support large arrays, and bounded importance sampling converts the certificate into simultaneous design intervals. At 1 bit/s/Hz and outage $10^{-5}$, a four-wavelength, ten-port receiver requires 4.40--4.55 dB. Reducing its port count from 256 to ten costs 0.70--1.25 dB under a joint 95\\% probability statement. At 3.5 wavelengths, ten ports require 4.90--5.05 dB. Integer-port screening across 3--8 dB shows how aperture and port requirements change with available SNR; an effective-SNR transformation extends these decisions to other rates. The reported intervals include model and sampling uncertainty under checked Gaussian covariance inputs. A constructive slow-growth rank bound and a 16--1024-port study support compact evaluation as port count grows.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13094",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuanjun Shen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e4fjw0k7597ga.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13094",
  "fulltext_url": null,
  "id": "e4fjw0k7597ga",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13094",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "eess.SP"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "2202|Antenna Design and Analysis"
    ]
  ],
  "openalex": "W7221520967",
  "pdf_url": "https://arxiv.org/pdf/2610.13094",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e4fjw0k7597ga.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13094",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13094"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Certified Outage Dimensioning of Fluid Antenna Receivers: Required SNR, Aperture, and Port Count",
  "title_text": "Certified Outage Dimensioning of Fluid Antenna Receivers: Required SNR, Aperture, and Port Count",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/e4fjw0k7597ga",
  "venue": "arXiv",
  "versions": []
}