{
  "abstract": "We propose a low-complexity SVD-based transceiver for zero-padded memory-$1$ ISI channels. Appending a single zero-padding symbol to an $n$-symbol block yields an $n\\times(n-1)$ channel matrix with an \\emph{exact symmetric tridiagonal Toeplitz Gram matrix}. This structure provides closed-form singular values and vectors, enabling exact SVD precoding and equalization via FFTs without explicitly forming dense SVD matrices. The resulting implementation has $O(n\\log n)$ complexity and incurs only a $1/n$ rate penalty. The resulting parallel scalar subchannels enable joint adaptive PAM and power allocation for SER minimization, followed by exact soft-information computation for LDPC decoding. At comparable code rates near $0.945$, simulations show that our proposed scheme outperforms a conventional TX-FFE/RX-DFE system with hard-decision Reed-Solomon (RS) decoding by approximately $5$ dB at FER $10^{-5}$. At high SNR, it achieves nearly the same FER performance as a SOVA-based receiver with LDPC decoding, while replacing trellis-based detection with fast SVD precoding and exact scalar soft-output computation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12784",
  "author_total": 2,
  "authors": [
    {
      "name": "Shuiyin Liu"
    },
    {
      "name": "Amin Sakzad"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dvs792we5w6t4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12784",
  "fulltext_url": null,
  "id": "dvs792we5w6t4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12784",
  "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|Advanced Wireless Communication Techniques"
    ]
  ],
  "openalex": "W7221534287",
  "pdf_url": "https://arxiv.org/pdf/2610.12784",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dvs792we5w6t4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.12784",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12784"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Low-Complexity SVD-Based Precoding over Zero-Padded ISI Channels",
  "title_text": "Low-Complexity SVD-Based Precoding over Zero-Padded ISI Channels",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/dvs792we5w6t4",
  "venue": "arXiv",
  "versions": []
}