{
  "abstract": "In high-mobility doubly dispersive links, basis expansion models (BEMs) reduce channel dimensionality, yet unknown payload symbols generally contaminate conventional matched-pilot channel estimates. This paper establishes the exact conditions under which such estimates become payload-independent and derives a pilot, guard, and data-placement rule that guarantees these conditions. We prove a necessary-and-sufficient zero pilot--data interference (ZPDI) condition under which the matched-pilot least-squares (LS) solution coincides with the maximum-likelihood (ML) estimator for the reduced pilot statistic. When ZPDI holds, estimation requires a single precomputed projection. When it does not, the estimate contains a deterministic, channel-scaled payload bias that persists at high signal-to-noise ratio. A disjoint-support rule, independent of the selected basis, realizes ZPDI through pilot, guard, and data placement. We then specialize the framework to orthogonal time--frequency space (OTFS) and examine its structural and performance consequences. With the generalized complex-exponential BEM (GCE-BEM), the ZPDI estimator remains within about $2$~dB of the perfect channel state information benchmark in bit error rate at speeds up to 500~km/h.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00937",
  "author_total": 5,
  "authors": [
    {
      "name": "Gianmarco Romano"
    },
    {
      "name": "Francesco A. N. Palmieri"
    },
    {
      "name": "Stefano Buzzi"
    },
    {
      "name": "Giovanni Di Gennaro"
    },
    {
      "name": "Amedeo Buonanno"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b6ew0m2r1mv7w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00937",
  "fulltext_url": null,
  "id": "b6ew0m2r1mv7w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00937",
  "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",
      "math.IT"
    ],
    [
      "openalex",
      "2208|PAPR reduction in OFDM"
    ]
  ],
  "openalex": "W7206207619",
  "pdf_url": "https://arxiv.org/pdf/2609.00937",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b6ew0m2r1mv7w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2609.00937",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00937"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Exact Payload-Decoupling Conditions for Pilot-Only BEM Channel Estimation With Application to OTFS",
  "title_text": "Exact Payload-Decoupling Conditions for Pilot-Only BEM Channel Estimation With Application to OTFS",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/b6ew0m2r1mv7w",
  "venue": "arXiv",
  "versions": []
}