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  "Title": "Extracting Signals from Wavelet Spectra",
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  "Description": "Tools for extracting and analyzing cyclic signals from\ntime series: continuous wavelet, superlet and synchrosqueezed\ntransforms, significance tests, tracking of astronomical cycles\nand sedimentation rates, age models with uncertainty and\nde-chirped spectra. When using the package please cite both the\npaper that introduced it, Arts et al. (2024)\n<doi:10.3389/feart.2024.1357751>, and the package itself (Arts\n2023, <https://CRAN.R-project.org/package=WaverideR>); see\ncitation(\"WaverideR\").",
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    "plot_avg_wavelet",
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    "plot_bispectral",
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      "table": true,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "WaverideR-package",
      "title": "Extracting Signals from Wavelet Spectra",
      "topics": [
        "WaverideR-package",
        "WaverideR"
      ]
    },
    {
      "page": "add_wavelet",
      "title": "Add a wavelet plot",
      "topics": [
        "add_wavelet"
      ]
    },
    {
      "page": "add_wavelet_avg",
      "title": "Add a plot of a the average spectral power of a continous wavelet transform",
      "topics": [
        "add_wavelet_avg"
      ]
    },
    {
      "page": "age_model_zeeden",
      "title": "Age model of Zeeden et al., (2013) for the (154-174m) interval of the IODP 926 grey scale record",
      "topics": [
        "age_model_zeeden"
      ]
    },
    {
      "page": "amtm_prewhiten",
      "title": "Autoregressive prewhitening of a series for aMTM analysis",
      "topics": [
        "amtm_prewhiten"
      ]
    },
    {
      "page": "amtm_spectrum",
      "title": "Adaptive multitaper spectrum with background fit and periodic signal detection",
      "topics": [
        "amtm_spectrum"
      ]
    },
    {
      "page": "analyse_Awavelet",
      "title": "Conduct the adaptive continuous wavelet transform on a time series or signal",
      "topics": [
        "analyse_Awavelet",
        "analyze_Awavelet"
      ]
    },
    {
      "page": "analyse_chirp_eha",
      "title": "Chirp-matched evolutive harmonic analysis (de-chirped windowed multitaper spectra)",
      "topics": [
        "analyse_chirp_eha",
        "analyze_chirp_eha"
      ]
    },
    {
      "page": "analyse_chirp_wavelet",
      "title": "Chirp-matched wavelet scalogram with the astronomical template over rate and rate gradient",
      "topics": [
        "analyse_chirp_wavelet",
        "analyze_chirp_wavelet"
      ]
    },
    {
      "page": "analyse_chirplet_sst",
      "title": "Synchrosqueezed wavelet-chirplet transform",
      "topics": [
        "analyse_chirplet_sst",
        "analyze_chirplet_sst"
      ]
    },
    {
      "page": "analyse_conceft",
      "title": "Multitaper synchrosqueezing (ConceFT) of a record",
      "topics": [
        "analyse_conceft",
        "analyze_conceft"
      ]
    },
    {
      "page": "analyse_dechirped",
      "title": "De-chirped scalogram of any transform: the record warped to time with a track, transformed, mapped back to depth",
      "topics": [
        "analyse_dechirped"
      ]
    },
    {
      "page": "analyse_superlet",
      "title": "Conduct the superlet transform on a time series or signal",
      "topics": [
        "analyse_superlet",
        "analyze_superlet"
      ]
    },
    {
      "page": "analyse_superlet_sst",
      "title": "Superlet synchrosqueezing: consensus of synchrosqueezed transforms with short and long wavelets",
      "topics": [
        "analyse_superlet_sst",
        "analyze_superlet_sst"
      ]
    },
    {
      "page": "analyse_wavelet",
      "title": "Conduct the continuous wavelet transform on a time series/signal",
      "topics": [
        "analyse_wavelet",
        "analyze_wavelet"
      ]
    },
    {
      "page": "analyse_wavelet_coherence",
      "title": "Cross-wavelet coherence analysis",
      "topics": [
        "analyse_wavelet_coherence",
        "analyze_wavelet_coherence"
      ]
    },
    {
      "page": "analyse_wavelet_sst",
      "title": "Wavelet synchrosqueezing transform",
      "topics": [
        "analyse_wavelet_sst",
        "analyze_wavelet_sst"
      ]
    },
    {
      "page": "analyse_Xsuperlet",
      "title": "Conduct the cross superlet transform on a time series or signal",
      "topics": [
        "analyse_Xsuperlet",
        "analyze_Xsuperlet"
      ]
    },
    {
      "page": "analyse_Xwavelet",
      "title": "Conduct the cross wavelet transform on a time series or signal",
      "topics": [
        "analyse_Xwavelet",
        "analyze_Xwavelet"
      ]
    },
    {
      "page": "anchor_points_Bisciaro_al",
      "title": "XRF records of the Bisciaro Fm",
      "topics": [
        "anchor_points_Bisciaro_al"
      ]
    },
    {
      "page": "anchor_points_grey",
      "title": "Example anchor points for the grey scale data set of Zeeden et al., (2013)",
      "topics": [
        "anchor_points_grey"
      ]
    },
    {
      "page": "anchor2time",
      "title": "Convert a proxy record to the time domain using anchor points",
      "topics": [
        "anchor2time"
      ]
    },
    {
      "page": "as_wr_track",
      "title": "Build a track (depth, sedimentation rate, time) from a tracked period curve, a rate curve or an age model",
      "topics": [
        "as_wr_track"
      ]
    },
    {
      "page": "astro_anchor",
      "title": "Anchor proxy record to an astronomical solution",
      "topics": [
        "astro_anchor"
      ]
    },
    {
      "page": "astro_anchor_app",
      "title": "Interactive Shiny app to tie a proxy record to an astronomical solution (tune live while tying)",
      "topics": [
        "astro_anchor_app"
      ]
    },
    {
      "page": "astro_anchor_interactive",
      "title": "Interactively tie a proxy record to an astronomical solution (random order, tie and untie, inspect)",
      "topics": [
        "astro_anchor_interactive"
      ]
    },
    {
      "page": "astro_ctest",
      "title": "Consistency-test inversion (the estimator used in the paper)",
      "topics": [
        "astro_ctest"
      ]
    },
    {
      "page": "astro_from_peaks",
      "title": "Astronomical parameters from spectral peaks",
      "topics": [
        "astro_from_peaks"
      ]
    },
    {
      "page": "astro_from_periods",
      "title": "Astronomical parameters from a tuned record (cycles already in kyr)",
      "topics": [
        "astro_from_periods"
      ]
    },
    {
      "page": "astro_invert",
      "title": "Joint inversion of several measured terms, with Monte Carlo uncertainty",
      "topics": [
        "astro_invert"
      ]
    },
    {
      "page": "astro_mc",
      "title": "Monte Carlo consistency test for tuned (time-domain) or depth-domain cycles",
      "topics": [
        "astro_mc"
      ]
    },
    {
      "page": "astro_obliquity",
      "title": "Obliquity at a given age, from AstroGeo22 if available, else today's value",
      "topics": [
        "astro_obliquity"
      ]
    },
    {
      "page": "astro_periods_tracking",
      "title": "Astronomical periods and weights for tracking, for any age",
      "topics": [
        "astro_periods_tracking"
      ]
    },
    {
      "page": "astro_term_search",
      "title": "Which term could a measured period be?",
      "topics": [
        "astro_term_search"
      ]
    },
    {
      "page": "astro_terms",
      "title": "The menu of named astronomical terms at a given age",
      "topics": [
        "astro_terms"
      ]
    },
    {
      "page": "astrogeo22",
      "title": "Earth-Moon state from the AstroGeo22 model at a given age",
      "topics": [
        "astrogeo22"
      ]
    },
    {
      "page": "astroMCBchron",
      "title": "Joint Bayesian age-depth model of radioisotopic dates and a floating astrochronology (astroMCBchron)",
      "topics": [
        "astroMCBchron"
      ]
    },
    {
      "page": "astrosignal_example",
      "title": "An ETP astronomical solution",
      "topics": [
        "astrosignal_example"
      ]
    },
    {
      "page": "bayes_changepoint",
      "title": "Bayesian change point analysis (Ruggieri, 2013)",
      "topics": [
        "bayes_changepoint"
      ]
    },
    {
      "page": "bayes_changepoint_r2",
      "title": "R-squared of the Bayesian change point model as a function of the maximum number of change points",
      "topics": [
        "bayes_changepoint_r2"
      ]
    },
    {
      "page": "bayes_spectrum",
      "title": "Bayesian probability spectrum",
      "topics": [
        "bayes_spectrum"
      ]
    },
    {
      "page": "Bisciaro_al_wt_track",
      "title": "Period of the short kyr ecc cycle in the Al record of the Bisciaro Fm",
      "topics": [
        "Bisciaro_al_wt_track"
      ]
    },
    {
      "page": "Bisciaro_ca_wt_track",
      "title": "Period of the short kyr ecc cycle in the Ca record of the Bisciaro Fm",
      "topics": [
        "Bisciaro_ca_wt_track"
      ]
    },
    {
      "page": "Bisciaro_Mg_wt_track",
      "title": "Period of the short kyr ecc cycle in the Mg record of the Bisciaro Fm",
      "topics": [
        "Bisciaro_Mg_wt_track"
      ]
    },
    {
      "page": "Bisciaro_Mn_wt_track",
      "title": "Period of the short kyr ecc cycle in the Mn record of the Bisciaro Fm",
      "topics": [
        "Bisciaro_Mn_wt_track"
      ]
    },
    {
      "page": "Bisciaro_sial_wt_track",
      "title": "Period of the short kyr ecc cycle in the si/Al record of the Bisciaro Fm",
      "topics": [
        "Bisciaro_sial_wt_track"
      ]
    },
    {
      "page": "Bisciaro_XRF",
      "title": "XRF records of the Bisciaro Fm",
      "topics": [
        "Bisciaro_XRF"
      ]
    },
    {
      "page": "bispectral_analysis",
      "title": "Bispectral analysis: bispectrum, biphase and squared bicoherence",
      "topics": [
        "bispectral_analysis"
      ]
    },
    {
      "page": "bispectral_surrogate",
      "title": "FT and IAAFT surrogates for bispectral significance testing",
      "topics": [
        "bispectral_surrogate"
      ]
    },
    {
      "page": "bundling_ratios",
      "title": "Precession cycles per eccentricity bundle, predicted",
      "topics": [
        "bundling_ratios"
      ]
    },
    {
      "page": "calculate_orbit9",
      "title": "Nine astronomical periods at a given age",
      "topics": [
        "calculate_orbit9"
      ]
    },
    {
      "page": "chaos_scenario",
      "title": "Shift the fundamental frequencies and see what every cycle does",
      "topics": [
        "chaos_scenario"
      ]
    },
    {
      "page": "check_agemodel",
      "title": "Check an age model against the de-chirped record: where do the astronomical cycles bend away?",
      "topics": [
        "check_agemodel"
      ]
    },
    {
      "page": "chirp_eha_significance",
      "title": "Significance of the lines of a (de-chirped) EHA map against warped noise",
      "topics": [
        "chirp_eha_significance"
      ]
    },
    {
      "page": "coco_adaptive",
      "title": "Adaptive COCO",
      "topics": [
        "coco_adaptive"
      ]
    },
    {
      "page": "coco_adaptive_evaluate",
      "title": "Evaluate Adaptive COCO for a batch of spectra (cocoAdaptiveEvaluate.m)",
      "topics": [
        "coco_adaptive_evaluate"
      ]
    },
    {
      "page": "coco_classic",
      "title": "COCO analysis (Li et al. 2018)",
      "topics": [
        "coco_classic"
      ]
    },
    {
      "page": "coco_fixed_target_weights",
      "title": "Fixed sinusoid-amplitude weights for a COCO target (cocoFixedTargetWeights.m)",
      "topics": [
        "coco_fixed_target_weights"
      ]
    },
    {
      "page": "coco_prepare_regular_data",
      "title": "Prepare a depth series for COCO (cocoPrepareRegularData.m)",
      "topics": [
        "coco_prepare_regular_data"
      ]
    },
    {
      "page": "coco_target_fixed",
      "title": "Fixed-weight astronomical target spectrum (Fixed-target COCO)",
      "topics": [
        "coco_target_fixed"
      ]
    },
    {
      "page": "coco_target_from_periods",
      "title": "Target periodogram from a list of orbital periods (period2spectrum.m)",
      "topics": [
        "coco_target_from_periods"
      ]
    },
    {
      "page": "coco_target_from_series",
      "title": "Target periodogram from an astronomical time series (e.g. La2004 ETP)",
      "topics": [
        "coco_target_from_series"
      ]
    },
    {
      "page": "compare_published",
      "title": "Compare a measured precession constant with published models",
      "topics": [
        "compare_published"
      ]
    },
    {
      "page": "completed_series",
      "title": "Complete the tracking of the period a cycle in a scalogram",
      "topics": [
        "completed_series"
      ]
    },
    {
      "page": "ctest",
      "title": "CTest: astronomical parameters from interpreted spectral peaks",
      "topics": [
        "ctest"
      ]
    },
    {
      "page": "ctest_combine",
      "title": "Combine several CTest results by multiplying their densities",
      "topics": [
        "ctest_combine"
      ]
    },
    {
      "page": "ctest_earthmoon",
      "title": "Earth-Moon distance, length of day and obliquity for CTest samples",
      "topics": [
        "ctest_earthmoon"
      ]
    },
    {
      "page": "ctest_input",
      "title": "Build the CTest input table from interpreted cycle wavelengths",
      "topics": [
        "ctest_input"
      ]
    },
    {
      "page": "curve2sedrate",
      "title": "Convert a tracked tracked to a sedimentation rate curve",
      "topics": [
        "curve2sedrate"
      ]
    },
    {
      "page": "curve2time",
      "title": "Convert the tracked curve to a depth time space",
      "topics": [
        "curve2time"
      ]
    },
    {
      "page": "curve2time_unc",
      "title": "Convert the re-tracked curve results to a depth time space with uncertainty",
      "topics": [
        "curve2time_unc"
      ]
    },
    {
      "page": "curve2time_unc_anchor",
      "title": "Convert the re-tracked curve results to a depth time space with uncertainty",
      "topics": [
        "curve2time_unc_anchor"
      ]
    },
    {
      "page": "curve2tune",
      "title": "Convert data from the depth to the time domain",
      "topics": [
        "curve2tune"
      ]
    },
    {
      "page": "cvcoco",
      "title": "Cross-validated correlation coefficient (cvCOCO) analysis",
      "topics": [
        "cvcoco"
      ]
    },
    {
      "page": "cycle_band",
      "title": "Period range implied by the frequency resolution of a record",
      "topics": [
        "cycle_band"
      ]
    },
    {
      "page": "cycles_to_k",
      "title": "Precession constant implied by an observed obliquity or precession cycle",
      "topics": [
        "cycles_to_k"
      ]
    },
    {
      "page": "days_per_year",
      "title": "Days in a year for a given solar day length",
      "topics": [
        "days_per_year"
      ]
    },
    {
      "page": "delpts_tracked_period_wt",
      "title": "Remove tracking points which were tracked in a wavelet spectra",
      "topics": [
        "delpts_tracked_period_wt"
      ]
    },
    {
      "page": "depth_rank_example",
      "title": "An example depth rank series",
      "topics": [
        "depth_rank_example"
      ]
    },
    {
      "page": "detect_transients",
      "title": "Transient (impulsive) features of a record by transient extraction",
      "topics": [
        "detect_transients"
      ]
    },
    {
      "page": "dur_gaps",
      "title": "calculate the duration of stratigraphic gaps using astronomical cycles",
      "topics": [
        "dur_gaps"
      ]
    },
    {
      "page": "dynamic_extraction",
      "title": "Extract a signal in between tracked boundaries in a wavelet scalogram",
      "topics": [
        "dynamic_extraction"
      ]
    },
    {
      "page": "dynamic_filter",
      "title": "Dynamic (depth-varying) Gaussian band-pass filter",
      "topics": [
        "dynamic_filter"
      ]
    },
    {
      "page": "dynamic_filter_controls",
      "title": "Build dynamic-filter control points from a tracked period curve",
      "topics": [
        "dynamic_filter_controls"
      ]
    },
    {
      "page": "dynot",
      "title": "Dynamic noise after orbital tuning (DYNOT)",
      "topics": [
        "dynot"
      ]
    },
    {
      "page": "earth_moment_of_inertia",
      "title": "Earth's polar moment of inertia at spin rate omega (Farhat et al. 2022, A.3)",
      "topics": [
        "earth_moment_of_inertia"
      ]
    },
    {
      "page": "earth_omega",
      "title": "Earth's angular velocity from the length of day",
      "topics": [
        "earth_omega"
      ]
    },
    {
      "page": "earthmoon_angular_momentum",
      "title": "Earth-Moon system angular momentum (spin + lunar orbit), kg m^2 s^-1",
      "topics": [
        "earthmoon_angular_momentum"
      ]
    },
    {
      "page": "earthmoon_from_precession",
      "title": "Invert the AstroGeo22 precession curve: Earth-Moon state for a measured precession frequency / period.",
      "topics": [
        "earthmoon_from_precession"
      ]
    },
    {
      "page": "earthmoon_state",
      "title": "Full Earth-Moon state from any one observable",
      "topics": [
        "earthmoon_state"
      ]
    },
    {
      "page": "ecoco_adaptive",
      "title": "Adaptive eCOCO",
      "topics": [
        "ecoco_adaptive"
      ]
    },
    {
      "page": "ecoco_best_per_window",
      "title": "Best sedimentation rate per eCOCO window",
      "topics": [
        "ecoco_best_per_window"
      ]
    },
    {
      "page": "ecoco_blocked",
      "title": "Blocked eCOCO (cross-fitted evolutionary correlation coefficient)",
      "topics": [
        "ecoco_blocked"
      ]
    },
    {
      "page": "ecoco_classic",
      "title": "Evolutionary COCO (Li et al. 2018)",
      "topics": [
        "ecoco_classic"
      ]
    },
    {
      "page": "ecoco_interleaved",
      "title": "Interleaved eCOCO (odd/even cross-validated evolutionary COCO)",
      "topics": [
        "ecoco_interleaved"
      ]
    },
    {
      "page": "ecoco_track",
      "title": "Track sedimentation-rate solutions through eCOCO peak maps",
      "topics": [
        "ecoco_track"
      ]
    },
    {
      "page": "ecoco_track_ridge",
      "title": "Track a smooth sedimentation-rate ridge through an eCOCO score map",
      "topics": [
        "ecoco_track_ridge"
      ]
    },
    {
      "page": "eha_log2",
      "title": "Generate a log2 spaced EHA spectra",
      "topics": [
        "eha_log2"
      ]
    },
    {
      "page": "em_state",
      "title": "Full Earth-Moon state from a precession constant",
      "topics": [
        "em_state"
      ]
    },
    {
      "page": "example_pridoli",
      "title": "The Pridoli example: the four terms resolved at Cellon (Carnic Alps) on the astrochronozone time scale of Arts and Da Silva.",
      "topics": [
        "example_pridoli"
      ]
    },
    {
      "page": "expSedRamp",
      "title": "exponentially ramped sedimentation rate model to convert time to stratigraphy",
      "topics": [
        "expSedRamp"
      ]
    },
    {
      "page": "extract_amplitude",
      "title": "Extract the instantaneous amplitude (envelope) of a signal using the CWT",
      "topics": [
        "extract_amplitude"
      ]
    },
    {
      "page": "extract_power",
      "title": "Extract power from a wavelet spectra",
      "topics": [
        "extract_power"
      ]
    },
    {
      "page": "extract_power_stable",
      "title": "Extract power from a wavelet spectra by using a constant period/duration",
      "topics": [
        "extract_power_stable"
      ]
    },
    {
      "page": "extract_signal",
      "title": "Extract signal from a wavelet spectra using a traced period curve",
      "topics": [
        "extract_signal"
      ]
    },
    {
      "page": "extract_signal_stable",
      "title": "Extract a signal/cycle from a wavelet spectra using a set period and boundaries",
      "topics": [
        "extract_signal_stable"
      ]
    },
    {
      "page": "extract_signal_stable_V2",
      "title": "Extract signal from a wavelet spectrum using a upper and lower period boundary",
      "topics": [
        "extract_signal_stable_V2"
      ]
    },
    {
      "page": "extract_signal_standard_deviation",
      "title": "Extract a signal using standard deviation",
      "topics": [
        "extract_signal_standard_deviation"
      ]
    },
    {
      "page": "fft_frequency_uncertainty",
      "title": "Frequency uncertainty of the Fourier transform (FFT) for a record length",
      "topics": [
        "fft_frequency_uncertainty"
      ]
    },
    {
      "page": "fft_uncertainty",
      "title": "Calculate the uncertainty associated with a tracked cycle based on the frequency uncertainty of the FFT",
      "topics": [
        "fft_uncertainty"
      ]
    },
    {
      "page": "flmw",
      "title": "Fit linear models to spectral peaks extracted from the wavelet spectra to astronomical cycles multiplied by sedimentation rate x",
      "topics": [
        "flmw"
      ]
    },
    {
      "page": "flmw_path",
      "title": "Smooth sedimentation rate curve with uncertainty from a flmw score matrix",
      "topics": [
        "flmw_path"
      ]
    },
    {
      "page": "gaussian_bandpass",
      "title": "Gaussian band-pass filter (Acycle)",
      "topics": [
        "gaussian_bandpass"
      ]
    },
    {
      "page": "geo_col",
      "title": "Generate standard color codes for the Geological Time Scale",
      "topics": [
        "geo_col"
      ]
    },
    {
      "page": "geo_loc",
      "title": "Generates ages for the boundaries of a geochronological subdivision",
      "topics": [
        "geo_loc"
      ]
    },
    {
      "page": "geo_mid",
      "title": "Generate the mean age of a geological subdivision",
      "topics": [
        "geo_mid"
      ]
    },
    {
      "page": "grey",
      "title": "Grey scale record IODP 926 of Zeeden et al., (2013)",
      "topics": [
        "grey"
      ]
    },
    {
      "page": "grey_track",
      "title": "Tracking points of the precession (22 kyr cycle) IODP 926 grey scale (154-174m) record of Zeeden et al., (2013)",
      "topics": [
        "grey_track"
      ]
    },
    {
      "page": "GTS_info",
      "title": "Information of the Geological timescale 2020",
      "topics": [
        "GTS_info"
      ]
    },
    {
      "page": "k_from_bundling",
      "title": "Precession constant from bundling: precession cycles per eccentricity bundle",
      "topics": [
        "k_from_bundling"
      ]
    },
    {
      "page": "k_from_cycles",
      "title": "Precession constant from one or more single-valued cycles",
      "topics": [
        "k_from_cycles"
      ]
    },
    {
      "page": "k_from_period",
      "title": "Precession constant implied by one measured cycle period",
      "topics": [
        "k_from_period"
      ]
    },
    {
      "page": "k_from_ratio",
      "title": "Precession constant from the RATIO of two cycles in one section",
      "topics": [
        "k_from_ratio"
      ]
    },
    {
      "page": "k_hypotheses",
      "title": "Which precession term is that peak? One k per hypothesis.",
      "topics": [
        "k_hypotheses"
      ]
    },
    {
      "page": "k_scan",
      "title": "Scan k and count how many measured windows a single k can satisfy",
      "topics": [
        "k_scan"
      ]
    },
    {
      "page": "la2004_extrap",
      "title": "La2004 polynomial extrapolation (Laskar et al. 2004, eqs. 39-40) Strictly valid only over a few hundred Myr; shown for comparison.",
      "topics": [
        "la2004_extrap"
      ]
    },
    {
      "page": "lag_1",
      "title": "lag-1 autocorrelation coefficient",
      "topics": [
        "lag_1"
      ]
    },
    {
      "page": "lithlog_disc",
      "title": "Discriticizes lithologs",
      "topics": [
        "lithlog_disc"
      ]
    },
    {
      "page": "lod_from_moon_distance",
      "title": "Length of day implied by an Earth-Moon distance (angular momentum conserved)",
      "topics": [
        "lod_from_moon_distance"
      ]
    },
    {
      "page": "lod_hours",
      "title": "Length of day from Earth's angular velocity",
      "topics": [
        "lod_hours"
      ]
    },
    {
      "page": "loess_auto",
      "title": "Perform an automatically loess based smoothing of a time series",
      "topics": [
        "loess_auto"
      ]
    },
    {
      "page": "mag",
      "title": "Magnetic susceptibility data of the Sullivan core of Pas et al., (2018)",
      "topics": [
        "mag"
      ]
    },
    {
      "page": "mag_track_solution",
      "title": "Period of the 405 kyr ecc cycle in the magnetic susceptibility record of the Sullivan core",
      "topics": [
        "mag_track_solution"
      ]
    },
    {
      "page": "max_detect",
      "title": "Detect and filter out all maxima in a signal",
      "topics": [
        "max_detect"
      ]
    },
    {
      "page": "mesa_average",
      "title": "Average spectrum of an evolutive MESA",
      "topics": [
        "mesa_average"
      ]
    },
    {
      "page": "mesa_evolutive",
      "title": "Evolutive maximum entropy spectral analysis (evolutive MESA)",
      "topics": [
        "mesa_evolutive"
      ]
    },
    {
      "page": "mesa_spectrum",
      "title": "Maximum entropy spectral analysis (MESA, Burg)",
      "topics": [
        "mesa_spectrum"
      ]
    },
    {
      "page": "min_detect",
      "title": "Detect and filter out all minima in a signal",
      "topics": [
        "min_detect"
      ]
    },
    {
      "page": "minimal_tuning",
      "title": "Create an age model using minimal tuning",
      "topics": [
        "minimal_tuning"
      ]
    },
    {
      "page": "modBchron",
      "title": "Run a modified version of the Bchronology algorithm from the R package \"Bchron\" (Haslett and Parnell, 2008)",
      "topics": [
        "modBchron"
      ]
    },
    {
      "page": "modBchron_predict",
      "title": "Predict ages at new positions from a modBchron (or modifiedBChron) model",
      "topics": [
        "modBchron_predict"
      ]
    },
    {
      "page": "model_red_noise_wt",
      "title": "Models average spectral power based curves based on a red-noise signal generated using the characteristics of an input signal.",
      "topics": [
        "model_red_noise_wt"
      ]
    },
    {
      "page": "months_per_year",
      "title": "Lunar mean motion and months per year from the Earth-Moon distance (Kepler's third law, n^2 a^3 = G(M_E + M_M), as in Farhat et al. 2022 Table D.2)",
      "topics": [
        "months_per_year"
      ]
    },
    {
      "page": "moon_distance_from_lod",
      "title": "Earth-Moon distance implied by a length of day (angular momentum conserved)",
      "topics": [
        "moon_distance_from_lod"
      ]
    },
    {
      "page": "moon_distance_from_months",
      "title": "Earth-Moon distance from the number of lunar months per year (the observable of tidal rhythmites)",
      "topics": [
        "moon_distance_from_months"
      ]
    },
    {
      "page": "omega_from_moon_distance",
      "title": "Earth's spin rate implied by an Earth-Moon distance, assuming the Earth-Moon angular momentum is conserved (solar tidal drain neglected).",
      "topics": [
        "omega_from_moon_distance"
      ]
    },
    {
      "page": "orbit9",
      "title": "Nine principal astronomical terms for a given precession constant",
      "topics": [
        "orbit9"
      ]
    },
    {
      "page": "orbit9_at_age",
      "title": "Nine orbital periods (kyr) at age_ma",
      "topics": [
        "orbit9_at_age"
      ]
    },
    {
      "page": "orbital_periods",
      "title": "All principal astronomical periods for a given precession constant",
      "topics": [
        "orbital_periods"
      ]
    },
    {
      "page": "pda",
      "title": "Power decomposition analysis (strict evolutionary MTM band-power ratio)",
      "topics": [
        "pda"
      ]
    },
    {
      "page": "pda_legacy",
      "title": "Legacy power decomposition analysis (Acycle PDA menu / DYNOT core)",
      "topics": [
        "pda_legacy"
      ]
    },
    {
      "page": "percentile_from_red_noise",
      "title": "Calculate average spectral power from red noise curves for a given percentile",
      "topics": [
        "percentile_from_red_noise"
      ]
    },
    {
      "page": "plot_agemodel_check",
      "title": "Plot an age-model check: the de-chirped maps, the rate corrections the cycles ask for and the flagged intervals",
      "topics": [
        "plot_agemodel_check"
      ]
    },
    {
      "page": "plot_amtm_spectrum",
      "title": "Plot an adaptive multitaper spectrum with background and detections",
      "topics": [
        "plot_amtm_spectrum"
      ]
    },
    {
      "page": "plot_astro",
      "title": "Six-panel summary of an inversion",
      "topics": [
        "plot_astro"
      ]
    },
    {
      "page": "plot_astro_anchor",
      "title": "Plot proxy record anchored to an astronomical solution",
      "topics": [
        "plot_astro_anchor"
      ]
    },
    {
      "page": "plot_astro_evidence",
      "title": "Map of the astronomical evidence against sedimentation rate and depth",
      "topics": [
        "plot_astro_evidence"
      ]
    },
    {
      "page": "plot_avg_wavelet",
      "title": "Plot the average spectral power of a wavelet spectra",
      "topics": [
        "plot_avg_wavelet"
      ]
    },
    {
      "page": "plot_Awavelet",
      "title": "Plots a adaptive wavelet scalogram",
      "topics": [
        "plot_Awavelet"
      ]
    },
    {
      "page": "plot_bayes_changepoint",
      "title": "Plot the result of bayes_changepoint",
      "topics": [
        "plot_bayes_changepoint"
      ]
    },
    {
      "page": "plot_bispectral",
      "title": "Plot the result of a bispectral analysis",
      "topics": [
        "plot_bispectral"
      ]
    },
    {
      "page": "plot_chirp_eha",
      "title": "Plot a chirp-matched EHA map, with or without the surrogate significance",
      "topics": [
        "plot_chirp_eha"
      ]
    },
    {
      "page": "plot_cvcoco",
      "title": "Plot a cvCOCO result",
      "topics": [
        "plot_cvcoco"
      ]
    },
    {
      "page": "plot_dechirped",
      "title": "Plot a de-chirped scalogram",
      "topics": [
        "plot_dechirped"
      ]
    },
    {
      "page": "plot_dynamic_filter",
      "title": "Plot the result of a dynamic filter",
      "topics": [
        "plot_dynamic_filter"
      ]
    },
    {
      "page": "plot_dynot",
      "title": "Plot DYNOT results",
      "topics": [
        "plot_dynot"
      ]
    },
    {
      "page": "plot_ecoco_cv",
      "title": "Plot Blocked / Interleaved eCOCO maps",
      "topics": [
        "plot_ecoco_cv"
      ]
    },
    {
      "page": "plot_eha_log2",
      "title": "Plots an log2 spaced EHA spectra",
      "topics": [
        "plot_eha_log2"
      ]
    },
    {
      "page": "plot_mesa_evolutive",
      "title": "Plot an evolutive MESA",
      "topics": [
        "plot_mesa_evolutive"
      ]
    },
    {
      "page": "plot_mesa_spectrum",
      "title": "Plot a maximum entropy (MESA) spectrum",
      "topics": [
        "plot_mesa_spectrum"
      ]
    },
    {
      "page": "plot_sed_model",
      "title": "Plot sedimentation modelling results",
      "topics": [
        "plot_sed_model"
      ]
    },
    {
      "page": "plot_spectral_moments",
      "title": "Plot the result of spectral_moments",
      "topics": [
        "plot_spectral_moments"
      ]
    },
    {
      "page": "plot_superlet",
      "title": "Plots a superlet scalogram",
      "topics": [
        "plot_superlet"
      ]
    },
    {
      "page": "plot_test_k",
      "title": "Comparison figure of the precession-constant test",
      "topics": [
        "plot_test_k"
      ]
    },
    {
      "page": "plot_track",
      "title": "Plot a continuous track on its scalogram",
      "topics": [
        "plot_track"
      ]
    },
    {
      "page": "plot_wavelet",
      "title": "Plots a wavelet scalogram",
      "topics": [
        "plot_wavelet"
      ]
    },
    {
      "page": "plot_wavelet_coherence",
      "title": "Plots a cross wavelet scalogram",
      "topics": [
        "plot_wavelet_coherence"
      ]
    },
    {
      "page": "plot_win_fft",
      "title": "Plot windowed fft based spectral analysis results",
      "topics": [
        "plot_win_fft"
      ]
    },
    {
      "page": "plot_win_timeOpt",
      "title": "plot the windowed timeOpt sedimentation rate estimation",
      "topics": [
        "plot_win_timeOpt"
      ]
    },
    {
      "page": "plot_Xsuperlet",
      "title": "Plots a cross superlet scalogram",
      "topics": [
        "plot_Xsuperlet"
      ]
    },
    {
      "page": "plot_Xwavelet",
      "title": "Plots a cross wavelet scalogram",
      "topics": [
        "plot_Xwavelet"
      ]
    },
    {
      "page": "plot.astroMCBchron",
      "title": "Plot an astroMCBchron model",
      "topics": [
        "plot.astroMCBchron"
      ]
    },
    {
      "page": "plot.coco_adaptive",
      "title": "Plot an adaptive COCO result",
      "topics": [
        "plot.coco_adaptive"
      ]
    },
    {
      "page": "plot.coco_classic",
      "title": "Plot a COCO result (Li et al. 2018 method)",
      "topics": [
        "plot.coco_classic"
      ]
    },
    {
      "page": "plot.ctest",
      "title": "Plot the CTest posterior distributions",
      "topics": [
        "plot.ctest"
      ]
    },
    {
      "page": "plot.ecoco_adaptive",
      "title": "Plot an adaptive eCOCO result",
      "topics": [
        "plot.ecoco_adaptive"
      ]
    },
    {
      "page": "plot.ecoco_classic",
      "title": "Plot an eCOCO result (Li et al. 2018 method)",
      "topics": [
        "plot.ecoco_classic"
      ]
    },
    {
      "page": "precession_frequency",
      "title": "Luni-solar precession frequency (Farhat et al. 2022, eq. A.7)",
      "topics": [
        "precession_frequency"
      ]
    },
    {
      "page": "predict.astroMCBchron",
      "title": "Predict ages at new positions from an astroMCBchron model",
      "topics": [
        "predict.astroMCBchron"
      ]
    },
    {
      "page": "print.astro_from_peaks",
      "title": "Print an astro_from_peaks result",
      "topics": [
        "print.astro_from_peaks"
      ]
    },
    {
      "page": "print.ctest",
      "title": "Print a CTest result",
      "topics": [
        "print.ctest"
      ]
    },
    {
      "page": "rate_gram",
      "title": "Rate-gram: the astronomical template as a spectrum over sedimentation rate, per window",
      "topics": [
        "rate_gram"
      ]
    },
    {
      "page": "resonance_state",
      "title": "Which secular resonance state does a record show?",
      "topics": [
        "resonance_state"
      ]
    },
    {
      "page": "retrack_wt_MC",
      "title": "Re-track cycles using a Monte-Carlo simulation",
      "topics": [
        "retrack_wt_MC"
      ]
    },
    {
      "page": "rho1_evolutive",
      "title": "Evolutionary lag-1 autocorrelation coefficient (rho1)",
      "topics": [
        "rho1_evolutive"
      ]
    },
    {
      "page": "sedrate2tune",
      "title": "Use a sedimentation curve to convert data to the time domain",
      "topics": [
        "sedrate2tune"
      ]
    },
    {
      "page": "spectral_moments",
      "title": "Sliding-window spectral moments (mean frequency and bandwidth)",
      "topics": [
        "spectral_moments"
      ]
    },
    {
      "page": "sst_significance",
      "title": "Significance of synchrosqueezed (and other) scalograms against autocorrelated noise",
      "topics": [
        "sst_significance"
      ]
    },
    {
      "page": "sum_power_sedrate",
      "title": "Calculate sum of maximum spectral power for sedimentation rates for a wavelet spectra",
      "topics": [
        "sum_power_sedrate"
      ]
    },
    {
      "page": "swa_background",
      "title": "Smoothed Window Average (SWA) spectral background",
      "topics": [
        "swa_background"
      ]
    },
    {
      "page": "swa_spectrum",
      "title": "Power spectrum with SWA background, chi-square and FDR confidence levels",
      "topics": [
        "swa_spectrum"
      ]
    },
    {
      "page": "term_sensitivity",
      "title": "Sensitivity of every cycle to each fundamental frequency",
      "topics": [
        "term_sensitivity"
      ]
    },
    {
      "page": "test_tuned",
      "title": "Precession-constant test for a tuned record",
      "topics": [
        "test_tuned"
      ]
    },
    {
      "page": "test_tuned_check",
      "title": "Check the precession-constant test on a synthetic record",
      "topics": [
        "test_tuned_check"
      ]
    },
    {
      "page": "track_astro_auto",
      "title": "Recommended workflow for continuous astronomical tracking of noisy records",
      "topics": [
        "track_astro_auto"
      ]
    },
    {
      "page": "track_astro_hmm",
      "title": "Astronomically constrained continuous tracking of the sedimentation rate in a scalogram",
      "topics": [
        "track_astro_hmm"
      ]
    },
    {
      "page": "track_astro_iterative",
      "title": "Iterative (demodulated) astronomical tracking of the sedimentation rate",
      "topics": [
        "track_astro_iterative"
      ]
    },
    {
      "page": "track_chirp_hmm",
      "title": "Chirp-steered tracking of the sedimentation rate (rate and rate gradient as the hidden state)",
      "topics": [
        "track_chirp_hmm"
      ]
    },
    {
      "page": "track_ecoco",
      "title": "Track the sedimentation rate through an eCOCO map",
      "topics": [
        "track_ecoco"
      ]
    },
    {
      "page": "track_mesa",
      "title": "Track a spectral peak through an evolutive MESA",
      "topics": [
        "track_mesa"
      ]
    },
    {
      "page": "track_period",
      "title": "Track the period of a cycle in a wavelet or superlet scalogram",
      "topics": [
        "track_period"
      ]
    },
    {
      "page": "track_period_wavelet",
      "title": "Track the period of a cycle in a wavelet spectra",
      "topics": [
        "track_period_wavelet"
      ]
    },
    {
      "page": "track_ridge_hmm",
      "title": "Continuous tracking of a cycle in a (synchrosqueezed) scalogram with a hidden Markov model",
      "topics": [
        "track_ridge_hmm"
      ]
    },
    {
      "page": "TSI",
      "title": "Total solar irradiation data (0-9400ka) of steinhilber et al., (2012)",
      "topics": [
        "TSI"
      ]
    },
    {
      "page": "upb_grain_loglik",
      "title": "Eruption-age likelihoods from single-zircon U-Pb dates (for astroMCBchron)",
      "topics": [
        "upb_grain_loglik"
      ]
    },
    {
      "page": "wavelet_band_significance",
      "title": "Significance of scale-averaged wavelet power (Torrence and Compo, section 4d)",
      "topics": [
        "plot.wr_band_significance",
        "wavelet_band_significance"
      ]
    },
    {
      "page": "wavelet_significance",
      "title": "Significance of wavelet and superlet power: analytic and surrogate (Monte Carlo) levels",
      "topics": [
        "wavelet_significance"
      ]
    },
    {
      "page": "wavelet_uncertainty",
      "title": "Calculate the uncertainty associated with the wavelet analysis based on the Gabor uncertainty principle",
      "topics": [
        "wavelet_uncertainty"
      ]
    },
    {
      "page": "WaverideR_Datasets",
      "title": "Example data sets for the 'WaverideR' package",
      "topics": [
        "WaverideR_Datasets"
      ]
    },
    {
      "page": "win_fft",
      "title": "Windowed fft based spectral analysis",
      "topics": [
        "win_fft"
      ]
    },
    {
      "page": "win_timeOpt",
      "title": "Windowed timeOpt sedimentation rate estimation",
      "topics": [
        "win_timeOpt"
      ]
    },
    {
      "page": "wr_coloured_noise",
      "title": "Colour noise and palette helpers",
      "topics": [
        "wr_brewer_palettes",
        "wr_colored_noise",
        "wr_coloured_noise"
      ]
    },
    {
      "page": "zeeden2023_table1",
      "title": "Devonian reference values of Zeeden et al. (2023), EPSL 621, 118348, Table 1",
      "topics": [
        "zeeden2023_table1"
      ]
    }
  ],
  "_readme": "https://github.com/stratigraphy/waverider/raw/HEAD/README.md",
  "_rundeps": [
    "astrochron",
    "codetools",
    "doParallel",
    "dotCall64",
    "fields",
    "foreach",
    "IDPmisc",
    "iterators",
    "lattice",
    "maps",
    "multitaper",
    "palinsol",
    "RColorBrewer",
    "Rcpp",
    "spam",
    "viridisLite"
  ],
  "_vignettes": [
    {
      "source": "WaverideR-intro.Rmd",
      "filename": "WaverideR-intro.html",
      "title": "Getting started with WaverideR",
      "author": "Michiel Arts",
      "engine": "knitr::rmarkdown",
      "headings": [
        "1. Wavelet transform",
        "2. Is a peak significant?",
        "3. Superlets",
        "4. Sedimentation rate from the wavelet spectrum",
        "5. Uncertainty of the frequency",
        "6. Parallel computing and memory",
        "References"
      ],
      "created": "2026-10-19 13:49:51",
      "modified": "2026-10-19 13:49:51",
      "commits": 1
    }
  ],
  "_score": 5.021189299069938,
  "_indexed": true,
  "_nocasepkg": "waverider",
  "_universes": [
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