{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Did not find any configuration file. Using defaults.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from pathlib import Path\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from spectrometer import FID1D, plot\n",
    "\n",
    "cm = 1 / 2.54\n",
    "figsize = (13.0*cm, 6.5*cm)  # Thesis: 16cm * 8cm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load raw *.fid data\n",
    "file = Path(\n",
    "    \"../data/20230825-142435-Water-1H-spin_echo,length=9us,delay_tau=100000us,record_length=130000.0,sample_rate=320000.0,probe=andrew.fid\"\n",
    ")\n",
    "fid = FID1D.from_file(file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 511.811x255.906 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot raw data\n",
    "fig = fid.plot(figsize=figsize)\n",
    "fig.savefig(\"spin_echo_raw.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/max/Projects/nmr-spectrometer/software/spectrometer/.venv/lib64/python3.11/site-packages/matplotlib/cbook/__init__.py:1340: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 511.811x255.906 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = fid.data[29000:-6000]\n",
    "scale = fid.ms_scale[29000:-6000]\n",
    "\n",
    "fig, axes = plot.subplots(figsize=figsize)\n",
    "axes.plot(scale, data, markersize=1, marker=\"o\", linestyle=\"\")\n",
    "\n",
    "plot.format_axes(axes)\n",
    "fig.savefig(\"spin_echo_avg.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 511.811x255.906 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# moving average\n",
    "window = 50\n",
    "avg = np.convolve(fid.data, np.ones(window), \"valid\") / window\n",
    "scale = fid.ms_scale[: -window + 1]\n",
    "\n",
    "fig, axes = plot.subplots(figsize=figsize)\n",
    "axes.plot(scale[::30], avg[::30].real, markersize=0, marker=\"o\", linestyle=\"-\")\n",
    "axes.set_xlabel(\"Time [ms]\")\n",
    "axes.set_ylabel(\"Amplitude [a.u.]\")\n",
    "\n",
    "plot.format_axes(axes)\n",
    "fig.savefig(\"spin_echo_avg.pdf\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.11.5"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
