{
  "_id": "6a311c9d3efcd9bda435bd2e",
  "Package": "rhosa",
  "Title": "Higher-Order Spectral Analysis",
  "Date": "2024-05-17",
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  "Authors@R": "person(given = \"Takeshi\",\nfamily = \"Abe\",\nrole = c(\"aut\", \"cre\"),\nemail = \"tabe@fixedpoint.jp\",\ncomment = c(ORCID = \"0000-0002-7074-4561\"))",
  "Description": "Higher-order spectra or polyspectra of time series, such\nas bispectrum and bicoherence, have been investigated in\nabundant literature and applied to problems of signal detection\nin a wide range of fields. This package aims to provide a\nsimple API to estimate and analyze them. The current\nimplementation is based on Brillinger and Irizarry (1998)\n<doi:10.1016/S0165-1684(97)00217-X> for estimating bispectrum\nor bicoherence, Lii and Helland (1981)\n<doi:10.1145/355958.355961> for cross-bispectrum, and Kim and\nPowers (1979) <doi:10.1109/TPS.1979.4317207> for\ncross-bicoherence.",
  "License": "GPL-3",
  "Encoding": "UTF-8",
  "URL": "https://tabe.github.io/rhosa/",
  "BugReports": "https://github.com/tabe/rhosa/issues",
  "RoxygenNote": "7.3.1",
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  "Repository": "https://tabe.r-universe.dev",
  "Date/Publication": "2024-05-23 15:32:45 UTC",
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    "Date": "2026-06-16 09:47:15 UTC",
    "User": "root"
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  "Author": "Takeshi Abe [aut, cre] (ORCID: <https://orcid.org/0000-0002-7074-4561>)",
  "Maintainer": "Takeshi Abe <tabe@fixedpoint.jp>",
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    "author": "Takeshi Abe <tabe@fixedpoint.jp>",
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    "bispectrum"
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    "biperiodogram",
    "bispectrum",
    "cross_bicoherence",
    "cross_bispectrum",
    "kim_and_powers_model",
    "mode_matching",
    "three_channel_model"
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    {
      "page": "bicoherence",
      "title": "Estimate bicoherence from given time series data.",
      "topics": [
        "bicoherence"
      ]
    },
    {
      "page": "biperiodogram",
      "title": "Calculate biperiodogram",
      "topics": [
        "biperiodogram"
      ]
    },
    {
      "page": "bispectrum",
      "title": "Estimate bispectrum from time series data.",
      "topics": [
        "bispectrum"
      ]
    },
    {
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      "title": "Estimate cross-bicoherence from time series data.",
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        "cross_bicoherence"
      ]
    },
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      "title": "Estimate cross-bispectrum from time series data.",
      "topics": [
        "cross_bispectrum"
      ]
    },
    {
      "page": "kim_and_powers_model",
      "title": "A test signal of the phase coherence between three oscillators",
      "topics": [
        "kim_and_powers_model"
      ]
    },
    {
      "page": "mode_matching",
      "title": "Estimate cross-bicoherence's empirical null distribution by a mode matching method",
      "topics": [
        "mode_matching"
      ]
    },
    {
      "page": "three_channel_model",
      "title": "A three-channel model of quadratic phase coupling",
      "topics": [
        "three_channel_model"
      ]
    }
  ],
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      "filename": "quadratic_phase_coupling.html",
      "title": "Detecting quadratic phase coupling from time series data by rhosa",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Abstract",
        "A toy model of QPC",
        "When and why existing QPC is not apparent from the estimated cross-bicoherence",
        "Conclusion",
        "References"
      ],
      "created": "2020-07-21 04:02:31",
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      ],
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