{
  "abstract": "Space-based gravitational-wave observations will probe the formation and growth of massive black holes and the evolution of compact binaries in the millihertz band. We develop a geometric-link representation of time-delay interferometry using six round-trip and six non-round-trip two-link blocks. Starting from the one-way Doppler response, we derive the elementary block responses and a dictionary that expresses 45 known second-generation combinations in terms of these blocks and residual one-way measurements. Representative Michelson and Relay observables admit compact forms, from which analytical sky-averaged tensor responses are obtained for a fixed, equal-arm constellation. We also derive the noise covariance of the blocks, retaining cross-spectra between blocks that share measurement streams. The resulting noise spectra agree with direct one-way assembly. We apply this formulation to a narrowband compact-binary signal in an equal-arm LISA instrument model. For the Relay example, neglecting the shared-link cross-spectrum changes the low-frequency noise scaling and overestimates the conditional Fisher uncertainties in amplitude or distance by factors of 10.71 at 1~mHz and 3.37 at 3~mHz.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.28173",
  "author_total": 5,
  "authors": [
    {
      "name": "Rui Luo"
    },
    {
      "name": "Pan-Pan Wang"
    },
    {
      "name": "Lin-Lin Yang"
    },
    {
      "name": "Xin-Lei Zhao"
    },
    {
      "name": "Cheng-Gang Shao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3wrpng8mtjx7s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.28173",
  "fulltext_url": null,
  "id": "3wrpng8mtjx7s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.28173",
  "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",
      "astro-ph.IM"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7166508806",
  "pdf_url": "https://arxiv.org/pdf/2606.28173",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3wrpng8mtjx7s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2606.28173",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.28173"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.IM",
      "subfield": "instrumentation-methods"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Gravitational-wave responses and noise correlations in geometric time-delay interferometry",
  "title_text": "Gravitational-wave responses and noise correlations in geometric time-delay interferometry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/3wrpng8mtjx7s",
  "venue": "arXiv",
  "versions": []
}