{
 "cells": [
  {
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   "source": [
    "# Timing methods\n",
    "\n",
    "This notebook demonstrates some of the \"quick-look\" timing analyses available in `opticam`, as well as how to extend the available timing analyses using [`stingray`](https://docs.stingray.science/en/stable/).\n",
    "\n",
    "## Generating and Reducing Data\n",
    "\n",
    "Before we can explore the different timing analyses provided in `opticam`, we need some light curves to analyse. For this example, I'll generate and reduce some gappy observations (see the [reduction tutorial](reduction.ipynb) for more details on data reduction):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e1dfb3b9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:32:45.636087Z",
     "iopub.status.busy": "2026-02-16T18:32:45.636010Z",
     "iopub.status.idle": "2026-02-16T18:33:39.247513Z",
     "shell.execute_reply": "2026-02-16T18:33:39.246965Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] variable source is at (65, 57)\n",
      "[OPTICAM] variability RMS: 0.02 %\n",
      "[OPTICAM] variability frequency: 0.135 Hz\n",
      "[OPTICAM] variability phase lags:\n",
      "    [OPTICAM] g-band: 0.000 radians\n",
      "    [OPTICAM] r-band: 1.571 radians\n",
      "    [OPTICAM] i-band: 3.142 radians\n"
     ]
    },
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    {
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     "text": [
      "[OPTICAM] Checking instrument OPTICAM_MX.\n",
      "[OPTICAM] OPTICAM_MX sucessfully passed all checks.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
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     "text": [
      "/home/zac/Documents/University/PhD/Repos/opticam/opticam/utils/data_checks.py:227: UserWarning: Large time gap detected between 240101i200000227o.fits.gz and 240101r200000187o.fits.gz (48.995 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/Documents/University/PhD/Repos/opticam/opticam/utils/data_checks.py:227: UserWarning: Large time gap detected between 240101r200000450o.fits.gz and 240101r200000189o.fits.gz (19.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/Documents/University/PhD/Repos/opticam/opticam/utils/data_checks.py:227: UserWarning: Large time gap detected between 240101g200000172o.fits.gz and 240101r200000195o.fits.gz (58.994 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/Documents/University/PhD/Repos/opticam/opticam/utils/data_checks.py:227: UserWarning: Large time gap detected between 240101g200000389o.fits.gz and 240101g200000455o.fits.gz (10.999 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/Documents/University/PhD/Repos/opticam/opticam/utils/data_checks.py:227: UserWarning: Large time gap detected between 240101r200000002o.fits.gz and 240101g200000460o.fits.gz (24.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Plot saved to /tmp/tmpcartnu5r/out/reduced/diag/header_times.pdf.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Plot saved to /tmp/tmpcartnu5r/out/reduced/cat/catalogs.pdf.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Plot saved to /tmp/tmpcartnu5r/out/reduced/diag/background.pdf.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Plot saved to /tmp/tmpcartnu5r/out/reduced/diag/optimal_rms_vs_median.pdf.\n",
      "[OPTICAM] Keys: 1:g, 2:r, 3:i\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] 1:g target ID 2 was matched to 2:r target ID 2\n",
      "[OPTICAM] 2:r comparison ID 1 was matched to 2:r comparison ID 1\n",
      "[OPTICAM] 1:g target ID 2 was matched to 3:i target ID 2\n",
      "[OPTICAM] 3:i comparison ID 1 was matched to 3:i comparison ID 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1280x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pathlib import Path\n",
    "\n",
    "import opticam\n",
    "\n",
    "\n",
    "out_dir = Path('out')\n",
    "\n",
    "opticam.generate_gappy_observations(\n",
    "    out_directory=out_dir / 'data',\n",
    "    n_images=500,  # generate lots of observations to create long light curves\n",
    "    binning_scale=8,  # use large binning scale to reduce disk space\n",
    "    circular_aperture=False,  # disable circular aperture shadow for simplicity\n",
    ")\n",
    "\n",
    "reducer = opticam.Reducer(\n",
    "    data_directory=out_dir / 'data',\n",
    "    out_directory=out_dir / 'reduced',\n",
    "    show_plots=False,\n",
    "    verbose=False,\n",
    "    )\n",
    "reducer.create_catalogs()\n",
    "\n",
    "phot = opticam.OptimalPhotometer()\n",
    "reducer.photometry(phot)\n",
    "\n",
    "dphot = opticam.DifferentialPhotometer(\n",
    "    out_directory=out_dir / 'reduced',\n",
    ")\n",
    "analyser = dphot.get_relative_light_curve(\n",
    "    key='1:g',\n",
    "    target=2,\n",
    "    comparisons=1,\n",
    "    phot_label='optimal',\n",
    "    prefix='source_2',  # name of target source\n",
    "    match_other_cameras=True,\n",
    "    show_diagnostics=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79137bea",
   "metadata": {},
   "source": [
    "We now have an `Analyzer` instance that provides a number of quick-look timing analyses routines. Under-the-hood, these routines mostly `astropy` routines.\n",
    "\n",
    "### `opticam.Analyzer` routines\n",
    "\n",
    "Let's first take a look at our `Analyzer` light curves using the `plot()` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "dbd3c0c6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:39.248463Z",
     "iopub.status.busy": "2026-02-16T18:33:39.248369Z",
     "iopub.status.idle": "2026-02-16T18:33:39.600984Z",
     "shell.execute_reply": "2026-02-16T18:33:39.600572Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Plot saved to /tmp/tmpcartnu5r/out/reduced/plots/source_2_optimal_light_curves.pdf.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1280x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "analyser.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a0641e5",
   "metadata": {},
   "source": [
    "As we can see, we have three variable, gappy light curves. The filter for each light curve is shown in the top right. We can also see that this figure was saved to `timing_analysis_tutorial/reduced/plots/source_2_optimal_light_curves.pdf`.\n",
    "\n",
    "We can inspect our light curve data via the `light_curves` attribute. Within an `Analyzer`, light curves are stored as [`astropy.timeseries.TimeSeries`](https://docs.astropy.org/en/stable/timeseries/index.html) instances:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d88a9676",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:39.601834Z",
     "iopub.status.busy": "2026-02-16T18:33:39.601750Z",
     "iopub.status.idle": "2026-02-16T18:33:39.604719Z",
     "shell.execute_reply": "2026-02-16T18:33:39.604332Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       time           1:g_rel_flux    ...   3:i_rel_flux_err  \n",
      "------------------ ------------------ ... --------------------\n",
      "60309.999802757935  1.005223166710537 ... 0.018053781758420755\n",
      " 60309.99981433087 1.0498305410805062 ...  0.01801955262060396\n",
      "  60309.9998259038  0.994954663791711 ...  0.01696111565591557\n",
      " 60309.99983747672 1.0037347424438734 ...  0.01735700481506178\n",
      " 60309.99984904965 0.9925015837411737 ...   0.0179718985277651\n",
      " 60309.99986062257  0.991501297690821 ...  0.01832991721821542\n",
      "  60309.9998721955 0.9967683483690362 ...  0.01838191547561879\n",
      "60309.999883768425  1.009360726110968 ...   0.0182026830036609\n",
      " 60309.99989534135   1.05083019208859 ... 0.018276214355731273\n",
      " 60309.99990691428 1.0157049915770313 ... 0.017376938239378352\n",
      "               ...                ... ...                  ...\n",
      " 60310.00547349178 0.9934200037948102 ... 0.017046791415874313\n",
      " 60310.00548506471 1.0424497583184145 ... 0.017587275533682143\n",
      "60310.005496637634 1.0483313282424795 ...  0.01823179349896665\n",
      " 60310.00550821056 1.0098971394037708 ... 0.018157185431735307\n",
      " 60310.00551978349 0.9605488619203572 ... 0.017959285571002334\n",
      " 60310.00553135641 1.0016702005069376 ... 0.018506986344670014\n",
      "60310.005542929335 1.0236058660796536 ...  0.01819348638885747\n",
      " 60310.00555450227 0.9842514028780169 ...  0.01713384419031292\n",
      " 60310.00556607519 1.0499449800605283 ... 0.017740784630403184\n",
      " 60310.00557764812 0.9965017926216742 ... 0.017232314926851348\n",
      "Length = 341 rows\n"
     ]
    }
   ],
   "source": [
    "analyser.light_curves.pprint()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46bdc24a",
   "metadata": {},
   "source": [
    "We can also rebin our light curves to a lower time resolution using the `rebin()` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "65d175bf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:39.605493Z",
     "iopub.status.busy": "2026-02-16T18:33:39.605418Z",
     "iopub.status.idle": "2026-02-16T18:33:40.680952Z",
     "shell.execute_reply": "2026-02-16T18:33:40.680501Z"
    }
   },
   "outputs": [],
   "source": [
    "from astropy import units as u\n",
    "\n",
    "binned_analyser = analyser.rebin(time_bin_size=3 * u.s)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "153ba679",
   "metadata": {},
   "source": [
    "This method takes a `time_bin_size` parameter, which must be a `astropy.units.Quantity`, and returns a new `Analyzer` instance containing the binned light curves. Let's take a look at these binned light curves:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a1c33c50",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:40.682080Z",
     "iopub.status.busy": "2026-02-16T18:33:40.681999Z",
     "iopub.status.idle": "2026-02-16T18:33:40.884314Z",
     "shell.execute_reply": "2026-02-16T18:33:40.883863Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1280x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "binned_analyser.plot(save=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16a69531",
   "metadata": {},
   "source": [
    "`opticam` handles the error propagation during binning and avoids padding gaps in the original light curves with zeros.\n",
    "\n",
    "Let's now perform a few quick-look timing analyses on these light curves.\n",
    "\n",
    "### Lomb-Scargle Periodograms\n",
    "\n",
    "Often times, you might want to compute the Lomb-Scargle periodograms of your light curves to check for periododic signals. `astropy` implements two flavours of the Lomb-Scargle periodogram: [`LombScargle`](https://docs.astropy.org/en/stable/timeseries/lombscargle.html) and [`LombScargleMultiband`](https://docs.astropy.org/en/stable/timeseries/lombscarglemb.html). For convenience, `opticam`'s `Analyzer` class implements wrappers for both routines that handle the boilerplate, allowing you to get straight to the analysis.\n",
    "\n",
    "#### Lomb-Scargle\n",
    "\n",
    "Let's first take a look at the standard Lomb-Scargle periodogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "347b8a5c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:40.885307Z",
     "iopub.status.busy": "2026-02-16T18:33:40.885222Z",
     "iopub.status.idle": "2026-02-16T18:33:41.182055Z",
     "shell.execute_reply": "2026-02-16T18:33:41.181695Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Plot saved to /tmp/tmpcartnu5r/out/reduced/plots/source_2_LSP.pdf.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lsps = analyser.lomb_scargle()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee343dce",
   "metadata": {},
   "source": [
    "We can see that each light curve has a dedicated periodogram, and the corresponding filter is shown in the top right of each panel. In this case, all three periodograms show a sharp peak between 0.1 and 0.2 Hz.\n",
    "\n",
    "By default, the `autofrequency()` method of `astropy`'s `LombScargle` class is used to construct the frequency grid of the periodogram. Alternatively, you may pass your own frequency grid. To avoid confusion with units, custom frequency grids must be passed as an `astropy` [`Quantity`](https://docs.astropy.org/en/stable/units/quantity.html). For example, let's recompute these periodograms in the 0.1-0.2 Hz frequency range. However, we do not want to overwrite our previous plot, so we'll also pass `save=False` to prevent the new plot from being saved:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "50778d7d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:41.183034Z",
     "iopub.status.busy": "2026-02-16T18:33:41.182952Z",
     "iopub.status.idle": "2026-02-16T18:33:41.325080Z",
     "shell.execute_reply": "2026-02-16T18:33:41.324781Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from astropy import units as u\n",
    "import numpy as np\n",
    "\n",
    "frequency = np.linspace(0.1, 0.2, 100) * u.Hz  # units of Hz\n",
    "\n",
    "lsps = analyser.lomb_scargle(frequency=frequency, save=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bccc0f9d",
   "metadata": {},
   "source": [
    "Now we can see that all three bands suggest a signal with a frequency of between 0.12 and 0.14 Hz.\n",
    "\n",
    "Like many of the timing analysis methods of `Analyzer`, `lomb_scargle()` returns a dictionary of results that may be used to conduct further analyses. In this case, the keys list the filters and the values list the corresponding [`astropy.timeseries.LombScargle`](https://docs.astropy.org/en/stable/api/astropy.timeseries.LombScargle.html#astropy.timeseries.LombScargle.from_timeseries) instances: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2983f95f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:41.326005Z",
     "iopub.status.busy": "2026-02-16T18:33:41.325925Z",
     "iopub.status.idle": "2026-02-16T18:33:41.327626Z",
     "shell.execute_reply": "2026-02-16T18:33:41.327435Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'1:g': <astropy.timeseries.periodograms.lombscargle.core.LombScargle at 0x72f58cc1fa80>,\n",
       " '2:r': <astropy.timeseries.periodograms.lombscargle.core.LombScargle at 0x72f58cc1f5c0>,\n",
       " '3:i': <astropy.timeseries.periodograms.lombscargle.core.LombScargle at 0x72f5475ea330>}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lsps"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88c7f75b",
   "metadata": {},
   "source": [
    "Let's use the results returned by the `lomb_scargle()` method to precisely infer the peak frequencies:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0a9caa29",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:41.328388Z",
     "iopub.status.busy": "2026-02-16T18:33:41.328316Z",
     "iopub.status.idle": "2026-02-16T18:33:41.332540Z",
     "shell.execute_reply": "2026-02-16T18:33:41.332299Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1:g Peak frequency = 0.13535353535353536 Hz\n",
      "2:r Peak frequency = 0.13535353535353536 Hz\n",
      "3:i Peak frequency = 0.13535353535353536 Hz\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "for fltr, lsp in lsps.items():\n",
    "    power = lsp.power(frequency=frequency)\n",
    "    peak_index = np.argmax(power)\n",
    "    print(f'{fltr} Peak frequency = {frequency[peak_index]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f8aeed0",
   "metadata": {},
   "source": [
    "Now we can see that all three bands show a periodicity at $\\sim$ 0.135 Hz which, as we can see at the top of this notebook, is the true frequency of variability for our source of interest.\n",
    "\n",
    "#### Multiband Lomb-Scargle\n",
    "\n",
    "In some cases, it may be preferable to compute a single Lomb-Scargle periodogram for all light curves; this can be done using `astropy`'s [`LombScargleMultiband`](https://docs.astropy.org/en/stable/timeseries/lombscarglemb.html):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "afb32a02",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:41.333330Z",
     "iopub.status.busy": "2026-02-16T18:33:41.333258Z",
     "iopub.status.idle": "2026-02-16T18:33:41.784676Z",
     "shell.execute_reply": "2026-02-16T18:33:41.784340Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Plot saved to /tmp/tmpcartnu5r/out/reduced/plots/source_2_multiband_LSP.pdf.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "periodograms = analyser.multiband_lomb_scargle()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f31895ce",
   "metadata": {},
   "source": [
    "As with `lomb_scargle()`, custom frequency grids can also be passed to `multiband_lomb_scargle()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "722658d9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:41.785463Z",
     "iopub.status.busy": "2026-02-16T18:33:41.785385Z",
     "iopub.status.idle": "2026-02-16T18:33:41.898955Z",
     "shell.execute_reply": "2026-02-16T18:33:41.898643Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "periodograms = analyser.multiband_lomb_scargle(frequency=frequency, save=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a19103e0",
   "metadata": {},
   "source": [
    "### Phase Folding/Binning\n",
    "\n",
    "Now that we have identified a candidate signal, we may want fold our light curves to see what it looks like. `astropy`'s `TimeSeries` class implements a `fold()` method, and `opticam`'s `Analyzer` class provides a convenience wrapper for this method with some added functionality (binning). To fold a light curve, we need a period on which to fold; to avoid confusion with units, `opticam` requires that the period being passed is a `Quantity`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "961e7042",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:41.899886Z",
     "iopub.status.busy": "2026-02-16T18:33:41.899810Z",
     "iopub.status.idle": "2026-02-16T18:33:42.220360Z",
     "shell.execute_reply": "2026-02-16T18:33:42.219980Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f_signal = 0.135 * u.Hz  # periodogram peak frequency\n",
    "p_signal = (1 / f_signal).to(u.s)  # fold period in seconds\n",
    "\n",
    "folded_lcs = analyser.fold(\n",
    "    period=p_signal,\n",
    "    save=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d89a69f8",
   "metadata": {},
   "source": [
    "The `fold()` method of `opticam.Analyzer` returns a `TimeSeries` whose `\"time\"` column quantifies the folded phase:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4b9b90a9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.221407Z",
     "iopub.status.busy": "2026-02-16T18:33:42.221333Z",
     "iopub.status.idle": "2026-02-16T18:33:42.223927Z",
     "shell.execute_reply": "2026-02-16T18:33:42.223638Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       phase            1:g_rel_flux    ...   3:i_rel_flux_err  \n",
      "                                        ...                     \n",
      "-------------------- ------------------ ... --------------------\n",
      "-0.49985981220396775 1.0084651144001064 ...  0.01802196150699383\n",
      "-0.49718195758777584 0.9811767231422861 ... 0.017575578214714924\n",
      "-0.49436433950922115 0.9876757855816458 ...  0.01755302456280664\n",
      " -0.4916866546265685    0.9879181537652 ... 0.017331740226355953\n",
      " -0.4915470608977449 1.0099730131202092 ... 0.017647202182194854\n",
      "-0.48605158820299826 0.9810156860573014 ... 0.017305929295081564\n",
      " -0.4805560306414821 0.9826227888240194 ... 0.017318387558139955\n",
      " -0.4752006608761759  1.016188197622447 ... 0.017869565051610248\n",
      " -0.4750604730799659 1.0143944262100788 ...  0.01794700982530723\n",
      "                 ...                ... ...                  ...\n",
      " 0.47252357006055423 0.9976950354043079 ...  0.01789898021873436\n",
      "  0.4753411032723394 0.9758368526118509 ...  0.01753922657596166\n",
      "   0.478018788154992 0.9928939459409717 ...  0.01769760879460673\n",
      "  0.4808365759670859 0.9766191019467554 ... 0.017530982059288297\n",
      " 0.48351417598297086 0.9947556028162705 ...  0.01789619937233157\n",
      " 0.48365385457856225 1.0178884964880388 ...  0.01836674530230763\n",
      "  0.4918272667562702 1.0143043565354442 ...  0.01807372693159667\n",
      "  0.4945047819053846  1.020804624131791 ... 0.018127284072123565\n",
      "  0.4973226545842472 1.0292663471143286 ... 0.018169295411921093\n",
      "  0.4999999999998224  1.005223166710537 ... 0.018053781758420755\n",
      "Length = 341 rows\n"
     ]
    }
   ],
   "source": [
    "folded_lcs.pprint()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f046be8f",
   "metadata": {},
   "source": [
    "Additionally, the `fold()` method can be used to phase bin your light curves by passing the desired number of bins to to the `nbins` parameter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5e2d91aa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.224637Z",
     "iopub.status.busy": "2026-02-16T18:33:42.224562Z",
     "iopub.status.idle": "2026-02-16T18:33:42.383820Z",
     "shell.execute_reply": "2026-02-16T18:33:42.383489Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "folded_lcs = analyser.fold(\n",
    "    period=p_signal,\n",
    "    nbins=20,\n",
    "    save=False,\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6426c335",
   "metadata": {},
   "source": [
    "Phase binning more clearly reveals the pulse shape compared to simply folding. From the above plots, it's clear that there is a lag in the pulsations between the different bands. Currently, `opticam` does not support quantify lags natively. However, `opticam`'s `Analyzer` class can be used to export your light curves to [`stingray`](https://docs.stingray.science/en/stable/), which provides a much more complete timing analysis framework - including ways to compute lags. Let's take a look at this now.\n",
    "\n",
    "## `stingray`\n",
    "\n",
    "`stingray` is a feature-rich spectral timing Python package developed primarily for use with X-ray data. `stingray` implements a number of generic timing analyis routines that can be applied to arbitrary time series. However, since `stingray` was developed with X-ray data in mind, it makes certain assumptions about the data. These assumptions can cause issues for non-X-ray data, as we'll see soon.\n",
    "\n",
    "To export your light curves to `stingray`, call the `export_light_curves_to_stingray()` method of `opticam.Analyzer`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "83afac1b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.384650Z",
     "iopub.status.busy": "2026-02-16T18:33:42.384571Z",
     "iopub.status.idle": "2026-02-16T18:33:42.522369Z",
     "shell.execute_reply": "2026-02-16T18:33:42.522061Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/zac/miniforge3/envs/opticam6/lib/python3.14/site-packages/stingray/utils.py:487: UserWarning: SIMON says: Stingray only uses poisson err_dist at the moment. All analysis in the light curve will assume Poisson errors. Sorry for the inconvenience.\n",
      "  warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n"
     ]
    }
   ],
   "source": [
    "stingray_lcs = analyser.export_light_curves_to_stingray()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c87f4afc",
   "metadata": {},
   "source": [
    "We can see that a warning about error distributions has been triggered. We'll take a look at this in more detail later. For now, let's ignore it.\n",
    "\n",
    "`export_light_curves_to_stingray()` returns a dictionary of {filter: [`stingray.Lightcurve`](https://docs.stingray.science/en/stable/notebooks/Lightcurve/Lightcurve%20tutorial.html)} pairs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4bb5f377",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.523441Z",
     "iopub.status.busy": "2026-02-16T18:33:42.523365Z",
     "iopub.status.idle": "2026-02-16T18:33:42.525101Z",
     "shell.execute_reply": "2026-02-16T18:33:42.524865Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'1:g': <stingray.lightcurve.Lightcurve at 0x72f5474560d0>,\n",
       " '2:r': <stingray.lightcurve.Lightcurve at 0x72f547455e50>,\n",
       " '3:i': <stingray.lightcurve.Lightcurve at 0x72f547456490>}"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stingray_lcs"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87cd0e8b",
   "metadata": {},
   "source": [
    "Let's take a closer look at one of these light curves using the `plot()` method of `stingray.Lightcurve`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "3497aa3e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.525790Z",
     "iopub.status.busy": "2026-02-16T18:33:42.525721Z",
     "iopub.status.idle": "2026-02-16T18:33:42.569355Z",
     "shell.execute_reply": "2026-02-16T18:33:42.569050Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = stingray_lcs['1:g'].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42a6d13b",
   "metadata": {},
   "source": [
    "As we can see, the light curve times are converted into seconds, with $t=0$ corresponding to the `t_ref` attribute of the `Analyzer` instance. Additionally, `opticam` has automatically inferred GTIs for each light curve, which are required for compatibility with many of `stingray`'s methods. The shaded regions in the above plot represent the time between GTIs. Let's use these `stingray.Lightcurve` instances to do some more advanced analyses.\n",
    "\n",
    "### Lags\n",
    "\n",
    "#### Cross-correlation\n",
    "\n",
    "Having recognised a lag between our light curves, there are several ways we can quantify it. For example, we can use the cross-correlations between light curves. This is a relatively simple approach, but it has the benefit of working with arbitrary time series. We can compute cross-correlations in `stingray` using [`CrossCorrelation`](https://docs.stingray.science/en/stable/notebooks/CrossCorrelation/cross_correlation_notebook.html):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "2024f430",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.570102Z",
     "iopub.status.busy": "2026-02-16T18:33:42.570029Z",
     "iopub.status.idle": "2026-02-16T18:33:42.604149Z",
     "shell.execute_reply": "2026-02-16T18:33:42.603837Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from stingray.crosscorrelation import CrossCorrelation\n",
    "\n",
    "cross_corr = CrossCorrelation(\n",
    "    lc1=stingray_lcs['1:g'],\n",
    "    lc2=stingray_lcs['3:i'],\n",
    "    )\n",
    "\n",
    "ax = cross_corr.plot(\n",
    "    labels=['Lag [s]', 'Correlation'],\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb2fadbd",
   "metadata": {},
   "source": [
    "We can see that the cross-correlation spectrum peaks at a non-zero lag. We can get the exact time lag from the `time_shift` attribute of the `CrossCorrelation` instance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2ff28660",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.604953Z",
     "iopub.status.busy": "2026-02-16T18:33:42.604879Z",
     "iopub.status.idle": "2026-02-16T18:33:42.606378Z",
     "shell.execute_reply": "2026-02-16T18:33:42.606124Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "g leads i by 3.999603632837534s\n"
     ]
    }
   ],
   "source": [
    "print(f'g leads i by {cross_corr.time_shift}s')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6bc03897",
   "metadata": {},
   "source": [
    "When we generated this data, we were told that the $i$-band variability has a phase lag of 3.142 (i.e., $1 \\pi$) radians, while the $g$-band variability has a phase lag of 0 radians. We can convert this time lag into a phase lag by dividing it by the period of the variability:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a5b58506",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.607066Z",
     "iopub.status.busy": "2026-02-16T18:33:42.606995Z",
     "iopub.status.idle": "2026-02-16T18:33:42.608485Z",
     "shell.execute_reply": "2026-02-16T18:33:42.608229Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Phase lag: 3.3925838553522305 radians\n"
     ]
    }
   ],
   "source": [
    "print(f'Phase lag: {2 * np.pi * cross_corr.time_shift / p_signal.to_value(u.s)} radians')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc4e239c",
   "metadata": {},
   "source": [
    "The phase lag is a little higher than expected, but this is due to the time resolution of our light curves.\n",
    "\n",
    "Cross-correlating works well provided the light curves are dominated by the signal of interest. In many cases, however, light curves show variability on many time-scales, and we may want to isolate the lags of signals at specific frequencies. In such cases, it may be preferable to compute the cross-spectrum.\n",
    "\n",
    "#### Cross-spectra\n",
    "\n",
    "##### A Cautionary Tale\n",
    "\n",
    "To compute cross-spectra, we can use `stingray`'s `AveragedCrossspectrum` class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "dc7360e5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.609124Z",
     "iopub.status.busy": "2026-02-16T18:33:42.609056Z",
     "iopub.status.idle": "2026-02-16T18:33:42.661292Z",
     "shell.execute_reply": "2026-02-16T18:33:42.661009Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "0it [00:00, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "8it [00:00, 20610.83it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "/home/zac/miniforge3/envs/opticam6/lib/python3.14/site-packages/stingray/fourier.py:1134: UserWarning: n_ave is below 30. Please note that the error bars on the quantities derived from the cross spectrum are only reliable for a large number of averaged powers.\n",
      "  warnings.warn(\n",
      "/home/zac/miniforge3/envs/opticam6/lib/python3.14/site-packages/stingray/fourier.py:1161: RuntimeWarning: invalid value encountered in sqrt\n",
      "  dphi = np.sqrt((1 - gsq) / (2 * gsq * n_ave))\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from stingray import AveragedCrossspectrum\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "segment_size = 30 * u.s\n",
    "\n",
    "avg_cs = AveragedCrossspectrum.from_lightcurve(\n",
    "    lc1=stingray_lcs['1:g'],\n",
    "    lc2=stingray_lcs['3:i'],\n",
    "    norm='frac',\n",
    "    segment_size=segment_size.to_value(u.s),  # stingray assumes all time values are in seconds\n",
    ")\n",
    "\n",
    "avg_cs_amplitude = np.abs(avg_cs.power)\n",
    "\n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.step(\n",
    "    avg_cs.freq,  # convert freq from cyc/d to Hz\n",
    "    avg_cs_amplitude,\n",
    "    where='mid',\n",
    "    c='k',\n",
    ")\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Power [(frac. rms)$^2$ / Hz]')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f1fc122",
   "metadata": {},
   "source": [
    "As we can see, the cross spectrum amplitude looks similar to the Lomb-Scargle periodograms we saw earlier, which is what we would expect. So far so good. Let's try to compute the coherence between these two light curves and check it's in the expected range ($0 \\leq \\text{coherence} \\leq 1$):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "6fcabe0b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.662116Z",
     "iopub.status.busy": "2026-02-16T18:33:42.662042Z",
     "iopub.status.idle": "2026-02-16T18:33:42.663615Z",
     "shell.execute_reply": "2026-02-16T18:33:42.663365Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/zac/miniforge3/envs/opticam6/lib/python3.14/site-packages/stingray/utils.py:487: UserWarning: SIMON says: Number of segments used in averaging is significantly low. The result might not follow the expected statistical distributions.\n",
      "  warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n"
     ]
    }
   ],
   "source": [
    "coh, coh_err = avg_cs.coherence()\n",
    "\n",
    "print(np.logical_and(coh >= 0, coh <= 1).all())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d985924",
   "metadata": {},
   "source": [
    "Uh oh, we have unphysical coherence values! Let's take a look at some of them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "22f3456c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.664345Z",
     "iopub.status.busy": "2026-02-16T18:33:42.664276Z",
     "iopub.status.idle": "2026-02-16T18:33:42.665770Z",
     "shell.execute_reply": "2026-02-16T18:33:42.665501Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Coherence: 125255.43870084993, error: -22164677.960628927\n",
      "Coherence: 155590.86632007017, error: -30686217.678394\n",
      "Coherence: 75731.82468126377, error: -10420340.272177516\n",
      "Coherence: 849.3315903170263, error: -12361.588510501326\n",
      "Coherence: 157376.1830838678, error: -31215892.516184118\n"
     ]
    }
   ],
   "source": [
    "for i in range(5):\n",
    "    print(f'Coherence: {coh[i]}, error: {coh_err[i]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f9d4bb2",
   "metadata": {},
   "source": [
    "Our coherence estimates are in the thousands, and our error estimates in the *negative thousands*. Something is very wrong...\n",
    "\n",
    "The issue is due to `stingray` assuming Poisson statistics. Since we know the phase lag between these two light curves, let's see what happens if we try to compute it from the averaged cross spectrum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "22bc3840",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.666408Z",
     "iopub.status.busy": "2026-02-16T18:33:42.666339Z",
     "iopub.status.idle": "2026-02-16T18:33:42.714981Z",
     "shell.execute_reply": "2026-02-16T18:33:42.714565Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plags, plags_err = avg_cs.phase_lag()\n",
    "\n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.errorbar(\n",
    "    avg_cs.freq,\n",
    "    plags / np.pi,\n",
    "    plags_err / np.pi,\n",
    "    fmt='kx',\n",
    ")\n",
    "\n",
    "ax.axvline(\n",
    "    0.135,\n",
    "    c='red',\n",
    "    label='Lag frequency'\n",
    "    )\n",
    "ax.axhline(\n",
    "    -1,\n",
    "    c='blue',\n",
    "    label='Expected lag'\n",
    "    )\n",
    "ax.legend()\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Phase lag [$\\\\pi$]')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "367c021e",
   "metadata": {},
   "source": [
    "We get the correct phase lag at the correct frequency. However, we don't seem to have any error bars, and so it's impossible to quantify the significance of this lag. Let's see what our error bars are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "53c5cb83",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.715842Z",
     "iopub.status.busy": "2026-02-16T18:33:42.715768Z",
     "iopub.status.idle": "2026-02-16T18:33:42.717253Z",
     "shell.execute_reply": "2026-02-16T18:33:42.717012Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[nan nan nan nan nan nan nan nan nan nan nan nan nan nan]\n"
     ]
    }
   ],
   "source": [
    "print(plags_err)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4256290a",
   "metadata": {},
   "source": [
    "Our errors are all `NaN`s! This is another consequence of our light curves not having Poisson errors.\n",
    "\n",
    "##### A Hacky Fix\n",
    "\n",
    "To work around `stingray`'s requirement for Poisson errors, we can trick it into thinking our relative light curves are actually in units of counts by scaling them by a suitably large value (e.g., 10,000)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "04c49788",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.717965Z",
     "iopub.status.busy": "2026-02-16T18:33:42.717898Z",
     "iopub.status.idle": "2026-02-16T18:33:42.722044Z",
     "shell.execute_reply": "2026-02-16T18:33:42.721786Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "0it [00:00, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "8it [00:00, 26317.20it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "from stingray import Lightcurve\n",
    "\n",
    "scale_factor = 1e4\n",
    "\n",
    "lc = stingray_lcs['1:g']\n",
    "f = lc.counts * scale_factor\n",
    "err = lc.counts_err * scale_factor\n",
    "g_lc = Lightcurve(lc.time, counts=f, err=err, gti=lc.gti)  # do not pass errors or define err_dist\n",
    "\n",
    "lc = stingray_lcs['3:i']\n",
    "f = lc.counts * scale_factor\n",
    "err = lc.counts_err * scale_factor\n",
    "r_lc = Lightcurve(lc.time, f, err=err, gti=lc.gti)  # do not pass errors or define err_dist\n",
    "\n",
    "avg_cs = AveragedCrossspectrum.from_lightcurve(\n",
    "    g_lc,\n",
    "    r_lc,\n",
    "    segment_size=segment_size.to_value(u.s),  # segment size in seconds\n",
    "    norm='frac',\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c850f28f",
   "metadata": {},
   "source": [
    "The fractional RMS normalisation (`norm='frac'`) is scale-invariant, so it should give us the same relative amplitudes. Let's now try to compute the averaged cross spectrum, coherence, and phase lags using our scaled light curves:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "fb3cb353",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.722666Z",
     "iopub.status.busy": "2026-02-16T18:33:42.722599Z",
     "iopub.status.idle": "2026-02-16T18:33:42.764282Z",
     "shell.execute_reply": "2026-02-16T18:33:42.763971Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.step(\n",
    "    avg_cs.freq,\n",
    "    avg_cs_amplitude,\n",
    "    where='mid',\n",
    "    c='k',\n",
    ")\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Power [(frac. rms)$^2$ / Hz]')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c2c56b8",
   "metadata": {},
   "source": [
    "Reassuringly, the averaged cross spectrum looks the same as before. Let's see if we can compute the coherence this time:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "841fd70c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.765121Z",
     "iopub.status.busy": "2026-02-16T18:33:42.765051Z",
     "iopub.status.idle": "2026-02-16T18:33:42.806327Z",
     "shell.execute_reply": "2026-02-16T18:33:42.806069Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "coh, coh_err = avg_cs.coherence()\n",
    "\n",
    "ax.errorbar(\n",
    "    avg_cs.freq,\n",
    "    coh,\n",
    "    coh_err,\n",
    "    c='black',\n",
    ")\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Coherence')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e976dba",
   "metadata": {},
   "source": [
    "We have a coherence plot with all values in the physical range 0 $\\leq$ coherence $\\leq$ 1!\n",
    "\n",
    "Let's see how the phase lags look now:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "30d928ab",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.807101Z",
     "iopub.status.busy": "2026-02-16T18:33:42.807031Z",
     "iopub.status.idle": "2026-02-16T18:33:42.856141Z",
     "shell.execute_reply": "2026-02-16T18:33:42.855880Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plags, plags_err = avg_cs.phase_lag()\n",
    "\n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.errorbar(\n",
    "    avg_cs.freq,\n",
    "    plags / np.pi,\n",
    "    plags_err / np.pi,\n",
    "    fmt='kx',\n",
    ")\n",
    "\n",
    "ax.axvline(\n",
    "    0.135,\n",
    "    c='red',\n",
    "    label='Lag frequency'\n",
    "    )\n",
    "ax.axhline(\n",
    "    -1,\n",
    "    c='blue',\n",
    "    label='Expected lag'\n",
    "    )\n",
    "ax.axhline(\n",
    "    0,\n",
    "    c='black',\n",
    "    ls='--'\n",
    "    )\n",
    "ax.legend()\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Phase lag [$\\\\pi$]')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "939fbfce",
   "metadata": {},
   "source": [
    "We have errors on our phase lags, and now we can tell that the lag is consistent the correct value! Let's quantify its significance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "76ef9d0d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.856852Z",
     "iopub.status.busy": "2026-02-16T18:33:42.856783Z",
     "iopub.status.idle": "2026-02-16T18:33:42.858272Z",
     "shell.execute_reply": "2026-02-16T18:33:42.858023Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "23.09016688178772\n"
     ]
    }
   ],
   "source": [
    "print(np.abs(plags / plags_err).max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "110d0b7e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-02-16T18:33:42.858943Z",
     "iopub.status.busy": "2026-02-16T18:33:42.858876Z",
     "iopub.status.idle": "2026-02-16T18:33:42.903372Z",
     "shell.execute_reply": "2026-02-16T18:33:42.903006Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.step(\n",
    "    avg_cs.freq,\n",
    "    np.abs(plags / plags_err),\n",
    "    where='mid',\n",
    "    c='black',\n",
    ")\n",
    "\n",
    "ax.fill_between(\n",
    "    ax.set_xlim(),\n",
    "    -5, 5,\n",
    "    color='grey',\n",
    "    alpha=.5,\n",
    "    edgecolor='none',\n",
    ")\n",
    "\n",
    "ax.axvline(\n",
    "    0.135,\n",
    "    c='red',\n",
    "    label='Lag frequency'\n",
    "    )\n",
    "\n",
    "ax.legend()\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Phase lag significance')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2943f80",
   "metadata": {},
   "source": [
    "Now we can see that the phase lag is significant to $\\gg 5 \\sigma$, as we would hope.\n",
    "\n",
    "That concludes the timing methods tutorial for `opticam`! The timing methods of `Analyzer` demonstrated here are intended as \"quick-look\" analyses, while more complete analyses are made easy thanks to `stingray`. Note, however, that special care is needed to get the most out of `stingray`."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "opticam6",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.14.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}