{
  "abstract": "This work extends the generalized nearest neighbor decoding (GNND), originally developed as a receiver architecture for memoryless channels, to a vectorized GNND (Vec-GNND) suitable for in-block memory (IBM) channels. Leveraging the generalized mutual information (GMI) as an operational lower bound on the mismatch capacity, an analytical characterization of the optimal Vec-GNND is obtained for general IBM channels with Gaussian codebooks. The formalism further provides closed-form optimality conditions and achievable GMIs for restricted variants of the receiver architecture. Furthermore, we formulate a GMI-based joint design viewpoint for Gaussian codebook covariance and decoding metrics. Since the metric optimization admits a closed-form solution for each fixed covariance, the joint design is reduced to an input-covariance optimization problem; for the diagonal covariance family, we derive first-order self-consistent optimality conditions. Numerical evaluations on block noncoherent AWGN and phase-noise channels demonstrate consistent GMI gains over conventional scaling-based GNND schemes, suggesting potential performance advantages of Vec-GNNDR in practical communication systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.15950",
  "author_total": 5,
  "authors": [
    {
      "name": "Yuhao Liu"
    },
    {
      "name": "Xinwei Li"
    },
    {
      "name": "Shuqin Pang"
    },
    {
      "name": "Hao Wu"
    },
    {
      "name": "Wenyi Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2ze4gr1v2m12h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.15950",
  "fulltext_url": null,
  "id": "2ze4gr1v2m12h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.15950",
  "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",
      "math.IT"
    ],
    [
      "openalex",
      "2208|Advanced Wireless Communication Techniques"
    ]
  ],
  "openalex": "W7161546003",
  "pdf_url": "https://arxiv.org/pdf/2605.15950",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2ze4gr1v2m12h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2605.15950",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.15950"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Vectorized Generalized Nearest Neighbor Decoding for In-block Memory Channel",
  "title_text": "Vectorized Generalized Nearest Neighbor Decoding for In-block Memory Channel",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/2ze4gr1v2m12h",
  "venue": "arXiv",
  "versions": []
}