{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6615173b",
   "metadata": {},
   "source": [
    "id: notebooks/05_correlator.ipynb\n",
    "\n",
    "FX correlator on the simulated SDR signals: fractional delay, fringe stopping, delay/rate search, cross spectra, visibilities"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe28afa2",
   "metadata": {},
   "source": [
    "<!-- notebooks/05_correlator.ipynb -- FX correlator (Interferosim 0.6.0) -->\n",
    "# 05 – The FX correlator\n",
    "\n",
    "---\n",
    "  DI Erich Schubert, 07925151\n",
    "  \n",
    "\n",
    "\n",
    "A VLB interferometer records the IQ streams of its stations independently (notebook 00); the correlator combines them afterwards. The example is a test of the VLB chain on a short baseline: two 3 m dishes 15 m apart, **each with its own B210**, observing the Sun – strong enough that every step is visible in single channels and seconds. This notebook builds the **FX correlator** step by step on simulated streams (notebook 03) whose stations have instrument errors the correlator does not know – a clock offset (missing or inaccurate time synchronisation) and an LO frequency offset (independent frequency references) – and shows how the correlator finds and removes them.\n",
    "\n",
    "Package: `interferosim.signal` – `FXCorrelator`, and the correlation kernels taken over from AAS6 `modules/interfero/correlate.py`: `fractional_delay`, `fringe_stop`, `Accumulator`/`cross_spectrum`, `delay_rate_search`, `apply_fringe_solution`, `stokes_from_products`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e51c537f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T20:16:58.398032Z",
     "iopub.status.busy": "2026-10-31T20:16:58.397843Z",
     "iopub.status.idle": "2026-10-31T20:16:59.722269Z",
     "shell.execute_reply": "2026-10-31T20:16:59.720415Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sun, two 3 m dishes 15 m east-west, 100 kS/s, 12 s;  station B: clock offset 37.3 µs = 3.73 samples, LO offset 0.8 Hz\n",
      "model visibility 227055+0j Jy  (|V| = 227055 Jy)\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from pathlib import Path\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from interferosim.instrument import Antenna, Receiver, Site, Station, Array\n",
    "from interferosim.sky import SkyModel\n",
    "from interferosim.sky import FieldCenter\n",
    "from interferosim.signal import (IQSimulator, StationErrors, FXCorrelator, cross_spectrum,\n",
    "                                 apply_fringe_solution)\n",
    "from interferosim.observation import sun_radec_deg, mjd_from_iso\n",
    "\n",
    "CFG = Path(\"..\") / \"configs\"\n",
    "site = Site.from_toml(CFG / \"sites\" / \"wilhelmsburg.toml\")\n",
    "dish = Antenna.from_toml(CFG / \"antennas\" / \"dish_3m.toml\")\n",
    "b210 = Receiver.from_toml(CFG / \"receivers\" / \"b210.toml\")\n",
    "cyga = SkyModel.from_json(CFG / \"skies\" / \"cyg_a.json\")\n",
    "ra_sun, dec_sun = (float(x) for x in sun_radec_deg(mjd_from_iso(\"2026-11-01T11:00:00\")))\n",
    "sun = SkyModel.from_json(CFG / \"skies\" / \"sun_21cm.json\")\n",
    "sun.center = FieldCenter(\"Sun\", ra_sun, dec_sun)\n",
    "SOURCES = {\"sun\": sun, \"cyg_a\": cyga}\n",
    "\n",
    "def ew_array(b_m):\n",
    "    return Array(site, [Station.from_enu(\"A\", site, 0, 0, 0, dish),\n",
    "                        Station.from_enu(\"B\", site, b_m, 0, 0, dish)], receiver=b210, name=f\"east-west {b_m:g} m\")\n",
    "\n",
    "FS = 1.0e5                        # sample rate of the notebook\n",
    "CLOCK_B = 37.3e-6                 # clock offset of station B [s] (no common time reference)\n",
    "LO_B = 0.8                        # LO offset of station B [Hz] (independent GPSDO)\n",
    "sim = IQSimulator(sun, ew_array(15.0), sample_rate_sps=FS, seed=4,\n",
    "                  errors={\"B\": StationErrors(lo_offset_hz=LO_B, clock_offset_s=CLOCK_B)})\n",
    "blocks = sim.simulate(12.0)\n",
    "V_MODEL = sim.expected_visibility(0, 1, *sim.uvw(6.0)[0, :2])\n",
    "print(f\"Sun, two 3 m dishes 15 m east-west, {FS / 1e3:g} kS/s, 12 s;  station B: clock offset {CLOCK_B * 1e6:.1f} µs \"\n",
    "      f\"= {CLOCK_B * FS:.2f} samples, LO offset {LO_B} Hz\")\n",
    "print(f\"model visibility {V_MODEL:.0f} Jy  (|V| = {abs(V_MODEL):.0f} Jy)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc9cbfea",
   "metadata": {},
   "source": [
    "## 1. The principle\n",
    "\n",
    "| Step | Operation | Purpose |\n",
    "|---|---|---|\n",
    "| model correction | shift station $j$ by the geometric delay $\\tau_g(t)$ of the phase centre, multiply by $e^{+2\\pi i f_c\\tau_g(t)}$ | delay tracking and fringe stopping with the geometry (notebook 03) |\n",
    "| **F** | cut each stream into windows of $N_\\mathrm{FFT}$ samples, window function, FFT | spectrum $X_k(f)$ per window, $N_\\mathrm{FFT}$ channels of width $f_s/N_\\mathrm{FFT}$ |\n",
    "| **X** | $X_i(f)\\,X_j^*(f)$, averaged over the integration time | cross spectrum = visibility per channel |\n",
    "| fringe solution | search residual delay and residual rate on a bright segment, remove them | clock and LO offsets of the stations |\n",
    "\n",
    "A residual delay $\\Delta\\tau$ shows up as a **phase slope across the band**, $\\Delta\\varphi(f) = -2\\pi f\\,\\Delta\\tau$; a residual rate $\\Delta f$ as a **phase drift in time**, $2\\pi\\,\\Delta f\\,t$. Both make the channel-averaged visibility collapse. (The XF alternative – cross-correlate first, Fourier transform the lags afterwards – gives the same result; FX is cheaper for many channels and is what the AAS6 correlator does.)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e6dc225f",
   "metadata": {},
   "source": [
    "## 2. Cross spectrum with the geometric model only\n",
    "\n",
    "The model removes the geometry, but not the unknown clock and LO offsets of station B. Left: the phase of the cross spectrum over the band for the first three integrations – a straight slope (clock offset) that moves from integration to integration (LO offset). Right: the **lag spectrum** (inverse FFT of the cross spectrum): the correlation peak sits at the residual delay instead of at zero."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ee898b18",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T20:16:59.725308Z",
     "iopub.status.busy": "2026-10-31T20:16:59.725009Z",
     "iopub.status.idle": "2026-10-31T20:17:01.164333Z",
     "shell.execute_reply": "2026-10-31T20:17:01.163185Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1400x420 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "channel-averaged visibility per second [Jy]: [ 3194.+2578.j -3778.+6914.j -3984. +297.j   527. -328.j  4745.+2157.j\n",
      "   880.+4256.j]\n"
     ]
    }
   ],
   "source": [
    "fx = FXCorrelator(nfft=64, t_int_s=1.0)\n",
    "v_model_only = fx.correlate(blocks, sim)\n",
    "f_khz = (v_model_only.freq_hz - sim.fc) / 1e3\n",
    "fig, axes = plt.subplots(1, 2, figsize=(14, 4.2))\n",
    "for r in range(3):\n",
    "    axes[0].plot(f_khz, np.degrees(np.angle(v_model_only.vis[r])), \".-\", ms=3, lw=0.7, label=f\"integration {r + 1} (1 s)\")\n",
    "axes[0].plot(f_khz, np.degrees(np.angle(np.exp(-2j * np.pi * f_khz * 1e3 * (-CLOCK_B)))), \"k--\", lw=0.8,\n",
    "             label=\"slope of the clock offset\")\n",
    "axes[0].set_xlabel(\"frequency offset from f_c  [kHz]\"); axes[0].set_ylabel(\"phase  [deg]\")\n",
    "axes[0].set_title(\"phase of the cross spectrum (model correction only)\", fontsize=10); axes[0].legend(fontsize=8)\n",
    "streams = fx.correct(blocks, sim)\n",
    "n = int(2 * FS)\n",
    "xps = np.fft.fft(streams[\"A\"][:n]) * np.conj(np.fft.fft(streams[\"B\"][:n]))\n",
    "lag = np.fft.fftshift(np.fft.fftfreq(n, 1 / n)); corr = np.abs(np.fft.fftshift(np.fft.ifft(xps)))\n",
    "sel = np.abs(lag) <= 20\n",
    "axes[1].plot(lag[sel], corr[sel], \".-\", ms=4)\n",
    "axes[1].axvline(-CLOCK_B * FS, color=\"C3\", ls=\"--\", lw=1, label=f\"-clock offset = {-CLOCK_B * FS:.2f} samples\")\n",
    "axes[1].set_xlabel(\"lag  [samples]\"); axes[1].set_ylabel(\"|correlation| (2 s, LO offset not removed)\")\n",
    "axes[1].set_title(\"lag spectrum\", fontsize=10); axes[1].legend(fontsize=8)\n",
    "for ax in axes:\n",
    "    ax.grid(alpha=0.3)\n",
    "fig.tight_layout(); plt.show()\n",
    "avg = v_model_only.average_channels()\n",
    "print(\"channel-averaged visibility per second [Jy]:\", np.round(avg.vis[:6, 0], 0))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "674ac96a",
   "metadata": {},
   "source": [
    "The LO offset of 0.8 Hz turns the phase by almost a full turn per second: the lag peak of a 2-s segment is smeared and the channel average of each integration is reduced and rotated instead of showing the model visibility.\n",
    "\n",
    "## 3. Delay–rate search\n",
    "\n",
    "`delay_rate_search` (AAS6) fringe-stops station B with a grid of trial rates and, for each, finds the delay as the peak of the lag spectrum: a 2-D search surface over (delay, rate). Its maximum is the **fringe solution**. The quadratic interpolation of the peak leaves a sub-sample bias (up to about 0.3 samples for white noise), so `FXCorrelator.search` refines the solution afterwards (`refine_fringe_solution`): the remaining phase slope across the band gives the delay, the remaining phase drift over sub-segments the rate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "388215e7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T20:17:01.166565Z",
     "iopub.status.busy": "2026-10-31T20:17:01.166346Z",
     "iopub.status.idle": "2026-10-31T20:17:07.792412Z",
     "shell.execute_reply": "2026-10-31T20:17:07.791098Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x460 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "search maximum  delay -3.946 samples = -39.46 µs (true -37.30 µs),  rate +0.8004 Hz (true +0.800 Hz)\n",
      "refined         delay -3.729 samples = -37.29 µs (true -37.30 µs),  rate +0.8008 Hz (true +0.800 Hz)\n",
      "SNR of the search peak 183.6\n"
     ]
    }
   ],
   "source": [
    "sol0 = fx.search(blocks, sim, \"B\", segment_s=3.0, max_delay_samples=16, max_rate_hz=3.0, n_rate=121, refine=False)\n",
    "sol = fx.search(blocks, sim, \"B\", segment_s=3.0, max_delay_samples=16, max_rate_hz=3.0, n_rate=121)\n",
    "fig, ax = plt.subplots(figsize=(9, 4.6))\n",
    "ext = [sol.delay_grid[0] * FS, sol.delay_grid[-1] * FS, sol.rate_grid[0], sol.rate_grid[-1]]\n",
    "im = ax.imshow(sol.surface, origin=\"lower\", aspect=\"auto\", extent=ext, cmap=\"viridis\")\n",
    "ax.plot(sol0.delay_samples, sol0.rate_hz, \"r+\", ms=14, mew=2, label=\"search maximum\")\n",
    "ax.plot(sol.delay_samples, sol.rate_hz, \"o\", mfc=\"none\", mec=\"orange\", ms=10, mew=1.5, label=\"refined\")\n",
    "ax.plot(-CLOCK_B * FS, LO_B, \"wx\", ms=10, mew=1.5, label=\"true offsets\")\n",
    "ax.set_xlabel(\"residual delay  [samples]\"); ax.set_ylabel(\"residual rate  [Hz]\")\n",
    "ax.set_title(\"search surface |correlation| (3 s segment)\", fontsize=10); ax.legend(fontsize=8)\n",
    "fig.colorbar(im, ax=ax, shrink=0.85); plt.show()\n",
    "for label, so in ((\"search maximum\", sol0), (\"refined\", sol)):\n",
    "    print(f\"{label:<15s} delay {so.delay_samples:+.3f} samples = {so.delay_samples / FS * 1e6:+.2f} µs \"\n",
    "          f\"(true {-CLOCK_B * 1e6:+.2f} µs),  rate {so.rate_hz:+.4f} Hz (true {LO_B:+.3f} Hz)\")\n",
    "print(f\"SNR of the search peak {sol.snr:.1f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04eb2376",
   "metadata": {},
   "source": [
    "## 4. Cross spectra after the fringe solution\n",
    "\n",
    "With the solution applied the phase is flat across the band and stable in time; the amplitude per channel scatters around the model visibility (the source is a continuum source – the same visibility in every channel). The channel average of each integration now agrees with the model within the noise. A constant phase offset may remain (the LO phase of each station is unknown – in a real observation it is calibrated on a calibrator source); a residual rate error from the noise of the search segment lets the phase creep slowly – a longer segment reduces it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d89edf78",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T20:17:07.794767Z",
     "iopub.status.busy": "2026-10-31T20:17:07.794552Z",
     "iopub.status.idle": "2026-10-31T20:17:09.053317Z",
     "shell.execute_reply": "2026-10-31T20:17:09.051643Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Bg2zEiBFuhjgAAAAAZBU5MvsAAGSu6tWruzIk0Ujl25YuXeorHwcAABCMSqMlVz42s2kgj8reaS1KEkwAAAAAshpmMgEAAAAAAAAAACBszGQCAAAAAAAAAABA2EgyAQAAAAAAAAAAIGwkmQAAAAAAAAAAABA2kkwAAAAAAAAAAAAIG0kmAAAAAAAAAAAAhI0kEwAAAAAAAAAAAMJGkgkAAAAAAAAAAABhI8kEAAAAAAAAAACAsJFkAgAAAAAAAAAAgIXr/3oTiF6oP11fAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1700x420 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean over 12 s: 226256+6165j Jy (model 227055+0j Jy), noise 358 Jy\n"
     ]
    }
   ],
   "source": [
    "v_fixed = fx.correlate(blocks, sim, solutions={\"B\": sol})\n",
    "fig, axes = plt.subplots(1, 3, figsize=(17, 4.2))\n",
    "for r in range(3):\n",
    "    axes[0].plot(f_khz, np.degrees(np.angle(v_fixed.vis[r])), \".-\", ms=3, lw=0.7, label=f\"integration {r + 1}\")\n",
    "axes[0].set_ylim(-180, 180); axes[0].set_title(\"phase after the fringe solution\", fontsize=10)\n",
    "axes[0].set_xlabel(\"frequency offset  [kHz]\"); axes[0].set_ylabel(\"phase  [deg]\"); axes[0].legend(fontsize=8)\n",
    "axes[1].plot(f_khz, np.abs(v_fixed.vis.mean(axis=0)), \".-\", ms=3, label=\"|V| per channel, mean over 12 s\")\n",
    "axes[1].axhline(abs(V_MODEL), color=\"k\", ls=\"--\", lw=1, label=\"model\")\n",
    "axes[1].set_xlabel(\"frequency offset  [kHz]\"); axes[1].set_ylabel(\"|V|  [Jy]\")\n",
    "axes[1].set_ylim(0, 1.3 * abs(V_MODEL))\n",
    "axes[1].set_title(\"amplitude per channel\", fontsize=10); axes[1].legend(fontsize=8)\n",
    "a0, a1 = v_model_only.average_channels(), v_fixed.average_channels()\n",
    "t = a1.time_mjd * 86400\n",
    "axes[2].errorbar(t, a1.vis[:, 0].real, yerr=a1.sigma[:, 0], fmt=\"o\", ms=4, capsize=2, label=\"Re V, with solution\")\n",
    "axes[2].plot(t, a0.vis[:, 0].real, \"s\", ms=4, color=\"grey\", label=\"Re V, model correction only\")\n",
    "axes[2].axhline(V_MODEL.real, color=\"k\", ls=\"--\", lw=1, label=\"model\")\n",
    "axes[2].set_xlabel(\"time  [s]\"); axes[2].set_ylabel(\"Re V  [Jy], channel average\")\n",
    "axes[2].set_title(\"visibility per 1-s integration\", fontsize=10); axes[2].legend(fontsize=8)\n",
    "for ax in axes:\n",
    "    ax.grid(alpha=0.3)\n",
    "fig.tight_layout(); plt.show()\n",
    "m = np.average(a1.vis[:, 0], weights=a1.weight[:, 0])\n",
    "print(f\"mean over 12 s: {m:.0f} Jy (model {V_MODEL:.0f} Jy), noise {1 / np.sqrt(a1.weight[:, 0].sum()):.0f} Jy\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72817ced",
   "metadata": {},
   "source": [
    "## 5. Channels, integration time and noise\n",
    "\n",
    "Each channel has the width $f_s/N_\\mathrm{FFT}$; its noise is $\\sqrt{N_\\mathrm{FFT}}$ times that of the channel average. More channels resolve spectral lines (HI, OH masers – notebook 09) and reduce the bandwidth smearing of wide fields; a longer integration lowers the noise, but a residual rate or the changing geometry smears the phase within it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1471cd83",
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    "execution": {
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     "shell.execute_reply": "2026-10-31T20:17:12.286920Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " N_FFT  channel width  sigma per channel (1 s)  sigma channel average\n",
      "    16       6.250 kHz                  4952 Jy                1238 Jy\n",
      "    64       1.562 kHz                  9921 Jy                1239 Jy\n",
      "   256       0.391 kHz                 19826 Jy                1237 Jy\n",
      "  1024       0.098 kHz                 39580 Jy                1229 Jy\n"
     ]
    }
   ],
   "source": [
    "print(f\"{'N_FFT':>6s} {'channel width':>14s} {'sigma per channel (1 s)':>24s} {'sigma channel average':>22s}\")\n",
    "for nfft in (16, 64, 256, 1024):\n",
    "    v = FXCorrelator(nfft=nfft, t_int_s=1.0).correlate(blocks, sim, solutions={\"B\": sol})\n",
    "    s_ch = np.median(v.sigma); s_avg = np.median(v.average_channels().sigma)\n",
    "    print(f\"{nfft:6d} {FS / nfft / 1e3:11.3f} kHz {s_ch:21.0f} Jy {s_avg:19.0f} Jy\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75ce966e",
   "metadata": {},
   "source": [
    "## 6. The result: `VisData` with a frequency axis\n",
    "\n",
    "The correlator writes one row per integration and baseline with `nfft` channels – the same data class as the visibility simulation (notebook 04), so imaging (notebook 06) works on simulated and correlated data alike. The header records the correlator settings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a6ce6b22",
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    "execution": {
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12 rows x 64 channels; 1420.3558 ... 1420.4542 MHz\n",
      "{'NFFT': 64, 'INTTIME': 0.99968, 'WINDOW': 'hann', 'MODELCOR': True, 'FRINGSOL': ['B'], 'SIMULATD': True}\n",
      "sun_15m_fx.npz\n"
     ]
    }
   ],
   "source": [
    "print(v_fixed.n_rows, \"rows x\", v_fixed.n_chan, \"channels;\", f\"{v_fixed.freq_hz[0] / 1e6:.4f} ... {v_fixed.freq_hz[-1] / 1e6:.4f} MHz\")\n",
    "print({k: v_fixed.header[k] for k in (\"NFFT\", \"INTTIME\", \"WINDOW\", \"MODELCOR\", \"FRINGSOL\", \"SIMULATD\")})\n",
    "out = Path(\"sim_output\"); out.mkdir(exist_ok=True)\n",
    "print(v_fixed.save_npz(out / \"sun_15m_fx.npz\").name)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "12c7ab51",
   "metadata": {},
   "source": [
    "## 7. Selector\n",
    "\n",
    "Source (Sun or Cygnus A – much weaker, use baselines of 50–300 m), baseline length, clock and LO offset of station B, number of channels and integration time; with or without fringe search. *Run Interact* simulates 10 s at 100 kS/s and correlates. (Needs a running kernel; a run takes several seconds.)"
   ]
  },
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     "shell.execute_reply": "2026-10-31T20:17:12.370139Z"
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   "source": [
    "import ipywidgets as widgets\n",
    "from IPython.display import display\n",
    "\n",
    "def run_fx(source, baseline_m, clock_us, lo_hz, nfft, t_int_s, search):\n",
    "    s = IQSimulator(SOURCES[source], ew_array(baseline_m), sample_rate_sps=FS, seed=6,\n",
    "                    errors={\"B\": StationErrors(lo_offset_hz=lo_hz, clock_offset_s=clock_us * 1e-6)})\n",
    "    bl = s.simulate(10.0)\n",
    "    c = FXCorrelator(nfft=nfft, t_int_s=t_int_s)\n",
    "    sols = {}\n",
    "    if search:\n",
    "        so = c.search(bl, s, \"B\", segment_s=3.0, max_delay_samples=max(16, 2 * abs(clock_us) * FS * 1e-6),\n",
    "                      max_rate_hz=max(3.0, 2 * abs(lo_hz)), n_rate=161)\n",
    "        sols = {\"B\": so}\n",
    "        print(f\"solution: delay {so.delay_samples / FS * 1e6:+.2f} µs (true {-clock_us:+.2f}), \"\n",
    "              f\"rate {so.rate_hz:+.3f} Hz (true {lo_hz:+.3f}), SNR {so.snr:.1f}\")\n",
    "    v = c.correlate(bl, s, solutions=sols)\n",
    "    exp = s.expected_visibility(0, 1, *s.uvw(5.0)[0, :2])\n",
    "    fk = (v.freq_hz - s.fc) / 1e3\n",
    "    a = v.average_channels()\n",
    "    fig, axes = plt.subplots(1, 2, figsize=(13, 3.8))\n",
    "    axes[0].plot(fk, np.degrees(np.angle(v.vis.mean(axis=0))), \".-\", ms=3)\n",
    "    axes[0].set_xlabel(\"frequency offset [kHz]\"); axes[0].set_ylabel(\"phase [deg]\"); axes[0].set_ylim(-180, 180)\n",
    "    axes[0].set_title(\"phase of the mean cross spectrum\", fontsize=10)\n",
    "    axes[1].errorbar(a.time_mjd * 86400, np.abs(a.vis[:, 0]), yerr=a.sigma[:, 0], fmt=\"o\", ms=4, capsize=2)\n",
    "    axes[1].axhline(abs(exp), color=\"k\", ls=\"--\", lw=1)\n",
    "    axes[1].set_xlabel(\"time [s]\"); axes[1].set_ylabel(\"|V| [Jy], channel average\"); axes[1].set_title(\"visibility per integration\", fontsize=10)\n",
    "    for ax in axes:\n",
    "        ax.grid(alpha=0.3)\n",
    "    fig.tight_layout(); plt.show()\n",
    "    print(f\"model |V| = {abs(exp):.0f} Jy, measured mean = {abs(np.average(a.vis[:, 0], weights=a.weight[:, 0])):.0f} Jy\")\n",
    "\n",
    "display(widgets.interactive(\n",
    "    run_fx, {\"manual\": True},\n",
    "    source=widgets.Dropdown(options=list(SOURCES), value=\"sun\", description=\"source\"),\n",
    "    baseline_m=widgets.FloatLogSlider(value=15, base=10, min=0.7, max=3, description=\"baseline [m]\"),\n",
    "    clock_us=widgets.FloatSlider(value=37.3, min=-150, max=150, step=0.1, description=\"clock B [µs]\"),\n",
    "    lo_hz=widgets.FloatSlider(value=0.8, min=-3, max=3, step=0.05, description=\"LO B [Hz]\"),\n",
    "    nfft=widgets.Dropdown(options=[16, 32, 64, 128, 256], value=64, description=\"N_FFT\"),\n",
    "    t_int_s=widgets.Dropdown(options=[0.25, 0.5, 1.0, 2.0], value=1.0, description=\"t_int [s]\"),\n",
    "    search=widgets.Checkbox(value=True, description=\"fringe search\"),\n",
    "))"
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