{
 "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 widget\n",
    "from pathlib import Path\n",
    "\n",
    "import numpy as np\n",
    "import scipy.signal as sps\n",
    "\n",
    "from spectrometer import FID1D, process\n",
    "from spectrometer.process import decaying_sinus\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/20230822-091753-Water-1H-single_90_degree_pulse,length=9us,delay=25us,record_length=10000,sample_rate=320000,probe=andrew.fid\"\n",
    ")\n",
    "fid = FID1D.from_file(file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4d58b9980dc143c7b80da33e634eb740",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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rfJRiMiJ/dCpMRh0EOPZ4SEsxIX90KlJMRhjd7WcgIioLAknLHovLa1FcXovl2ypVyzpXlFShrtmM57dWYtHGCtXjiSi0PK7zv+mmm7rcd/nyZTQ2Bq4KXLRRnu+VPetYV5iTDpOx8+Nm0AlYv6dG8yf+RRsr5AJISiajDoeX34uDtZdgttiRmmJCycLJ2L90mpw74e4C0GIXYRMRkatDPFHuD7F+Tw1sIqAXOi/ylMej5Eg9nt/quDh4cVulu5ckoiDxGPzvuOMO/PGPf8Q333yDuro67N+/Hy+//DJuvfXWULUv4sQbOg+psmdNjoRI6drIYhdR12xWrTbQIlcBWoDjZwEcgS0txRQxoxjBpNwfYn7ucBh1AmyiY0XJjUtL3T7PLgI3Li3FjUtLMWbFDo4GEIWA13X+ly5dwh/+8AdcuHABBoMB48aNw9y5c0PVvoijnNvW8tyucsjZ7fB0gEnzvMo1/20Wz6tLwsldAHpgdKr8sxTmpLucv16SlyGv/HAnVMc9VKT9If73q3PYfqQe0o9u9uN33Gy2otlsxfNbK7F6x/GAbTGtZcyF8Mzd8eFx6xmvW/pOmDABa9aswZtvvokNGzbgN7/5DUwmUyjaFpGW5GXIc8A/zhri9fHhsl3Ro12enxmy9z1wqkl121X9fy0oLq9VXaQo+bL5UWFOOlY8mIUUkxEmow4pJiNGpSWrHmOJ0m2OLXYRgch4kZJCo53zdtrMhVBzt914oLchjzVeg7+kV69e0Ov1sNvt+OCDD4LZpohWmJOOfknxEOGo96/1P2ABga/q50kkbHzjKfD7ozAnHYeX34vql3+Mw8vvRcnCyXAeDFpRUhU1J/optwzospeDJ95GxgQ4CiNFU3Kkq8A+P3c4UkxGNLW2Y8yKMqzecdxtUIvFCwN3U2vB2IY8lngc9p83bx6uXLni8v/mzJkTlAZFA2lpmE0EVu84rskhKdHpa6go90AAHBcDwSwu1B2udmXUC462SzX6u8v555dyH6SLDS1+VjxR7m+gE7x/nkxGHTqsdswYlYqigmzkr9nnNjdGJ3TmzWw/or3Pib+Ux0rKdXEEeFFOKlVOkdQ1m5G/Zh9ONlzpMnUSqZ8XfxWX17rdJTUY25DHEo/Bf9SoUbjnnnvQt29fCIKAlpYWfPzxx5g6dWqo2heRlB/GQG6RG0hGnQCLXQz5vLPzHgg20XFS1NKJvbWj666MKx7MCsiJtqggG0UF2S4T4FaWHou4OUzl79Ld6ta0FBP2L53m+vkLJ2PRxgqUHnXkCChfQ5kvIQIY8exHSIo3YMotAyJyoyTlqJfZYscLWyu9Xix5Shpevi36LwDW76mRL4xWlh6L6p811DwG/0ceeUTe1hcABgwYgNTUVLz55pvIyAjs7m8UOsXltUiKd/zqA72Lny9GpSWrTmpa6f0Xl9diRUlVlyV6JqM+4Ccd6eJLyWyxo67ZrNnRIkCdZPXBF995fbxyqZ870gWRVBvAXZKkxe7oIUvJhJES/KRjNjg5AXXNneWhezrqZhMdIwDLt1UiMzUZF1s7Iu6CSCJdAEojQoDjuDW1tsuPcR79WJKXgfV7auSpoRmjHPlDzq8TzZQjI0nxetQ1t2FUWjJKFk72+lyPwV8Z+CVWqxVHjx7tZlNjw5K8DHlYzuop3TtMpKvptBRTWE4UJQsnY9jSUvnkZxMdNRF8+cAG08rSapdr85XLNwNleX6m27wCrY4WAZ1JVqt3HHdZ/8DZ4GTfP2OuVoO4ovzcaLk3KAU0ndD1Qi+QbGLnCEGkVM1UBq0leRkoPVov1744faEVN16X5HKZ7aKNFTh9oRVH61qQYjLgSptVrr6pXGESDdNE3iinkQDIf4++LjH3GPw//PBDiGLnh9ZsNuPYsWPo379/d9oa0fxZVlKYky4P6Vk1WekvXDP+nR4YrZ77DndNhEUbK7rU3E8xGZAUbwzKGv7CnHSs2F4lbwGspMULRsm49L6obzb7FPhNRr3fx07aH8PXAkhmi12Te0QUl9fKP4NN9P/3KaB7f511zWbc9sL/h3tGDnI5NRLO5XHK91YO568oqVKN9hyta3F7PlAHO/X0nOj0/ZgVO+TH5I9WjyhocXrNW7uUG4ztPdHo09+gJx6Df0VFBRITE5GcnAxBECAIAkaOHIlp01zP30Uz5bISXz4wP/phaPtHTsu7tEAaelQOQYZaUUE2DtY2yW0I9t4C3rgKNlfarDi8PC9o7/njrCHykkvliUvLpaEP1l7yGJRMRj06rDbYRKDDauvWybWoINuvk5sWe/8rSqp69PyefALMFpsqsVB5bFaWHoPZYu9yf7ACopTQmZaSgPMtbbCJkKcppB57sD7vyosDaSSguLxW7pi9oLGkSWk0TZr2k46dUe/IpJWOk7d9RnzN4/IY/HNzczF16lRVvf9QaGhoQFlZGQRBwJkzZ/D4448jLS0tpG1wJl2t+tqTudjaofqqJSkmA5rNVqSYPP76g0558dHarq2hbgGQ5xCDRQqkaSmmLn/QWkuCBLrOwTpzVD68Td7ZMhDHTwDw8swsj7kA/hQRChYpePZPikNVfYvH4k6hJI2MSD1G6Vg5F9fyt3OjzI+R5piV7yONOkg9eOXfunKaIlQEAZi0ajeaWjtU457Sz+s8DRGMCwJvF1jtVsfv5HKbBcOXlcqfIVejg55I+VzeeIzqVVVVXQJ/c3Mz9u7d61dj/GG327FmzRo89NBDmDNnDqZPn47XX39dNf0QDoU56di/dJrPHwpp7WldsxmTVu0KZtP8Jl0ROw+bhZqytx/OeW7nNdNGvYCXZ2YFPfgq1y87X62XHKnX3HruFdurXAZaaUOjl2c6VkQUFWSj5vczenT8luRlqF7T24VEuOsASGvzj9b5F/jzR6fidzOzkJZiwu9mZuH0qhnIH50KveD4+3Duw+kFx+iKP6Q9FJSjWwa9gEUbK+TPmL9lqtfvqZF7osp8A+l9pAsJrRSxtIuOc7Fyas+oE1DfbMaijRVyrztQhaVc1WNYWXpMXtY7ZkVZl79tq80ut7WnF4++nDe6XCJcvnwZOp0OSUlJLjfwMZvNKC4uxpQpU3rWOjcqKyvRr18/JCYmAgDGjBmDoqIi1NfXu+z9m83qHpPRaITRaAx4u1xlo3pysPaS/H04h9edhfskqdZ5Zog3+HdCC6SVpdWq2xabGJLEKefSwNLJU6K1zH93PZBgJGo6HxtvUwElR+pDuvxPOh9kpibjTNM1j1MUzis7UkxGJMUbVG11/lmV5xjnXmlPpxQAx+9SuhhYveM4kuINGJfeVw583o7h/Nzhqp6/g/rzUdds9qvokzs6wfUy0hSTEe1WW7dHfqTfifOU37j0vj5tR+0pJrgaSWlz2tJ8Zekx1ShZIKY/dAJUUweedAn+//d//4fi4mL5dkFBQZcn3XnnnT1upDs1NTXo16+ffDsuLg4DBw5EQ0ODy+C/YMEC1e1Zs2Zh9uzZAW+XlI3q67K0+bnD5axlLZX4V37Q88NcWld5AmntsIYtccs50U9qWyhJwU65CkIrPBVaCeXUkXIVjSvSRlGh+AxJf0e+DF9b7SLSUhzL/Ix6we9hZecLoRcUx0D/Q2DsyWdG6vFKF54rS4/JuQFA5zSh8xKygX0S5OSzm5aVugzQ/rTLqBdw2+A+XY5pnwQjptwyAKVH69E7wdEW6Th6Sw6Vjrs/DtZeki80X9xWqfrMKYOqp5jQPykOdc1m9E+Kk/9+BAFQDmCbLXa57dt9THB1JS3FhNZ2K5rNFvgzQN7lLzcvLw/jxo2DTqfDpk2b8Mgjj6j+32QyoVevXt1uqDctLS1d9g5ISEhAa2ury8evXbtW9fhg9PoBx/yvP/OYUtZyoOY+A8G51x/uOeXCnHR5rbbFJmJFSVXIg7/zMRGg3rgn1JJNRlUvcmi/xLC0Qxnw2612lxdIgCMpMlSk34ky47nFbFEFGLPFjmFLS/HAaO2s8xbhyGmRhtV7+tl6YHSqqsfpacfE7nDuSUvTg0frWrpUZPSWfOaPgb0TULJwsurnUR6zooJsTFq1G81mKwb2TlCdPyR6AaqllU2t/mfEj0vvKwdj5wua1vbOz3tmqiOpe3ByAm574X/RZrEjNSUB9c1t8mfS08oFJX8v3ow6AVa7KH/OXeVbeNMl+BsMBgwePBgA8M///M/y8LvS999/j0GDBvnZXN9YrVZYLOpfmMFgcNkOwHEx4u7/Asl5KM4XUvlJ6eou3Ccj5RWyVubilOVupY1uQrkMR3lMjDoBJ1/5f0F/T0+ce7fhWgLpyzr+UCRFOnPuBU9atbtLABLR+XsNxFSAq0IqvjDqBfw4awgO1l5Ca7vVr4Q6T5zPRcqiWcqerrvhcn8pX6enn0e9AMQZdF0uMAS4Hm1zrgzpnHgtdcqUM1LL8zPlBNE2NxetnngaSbDYRXl0TjqFKj8PwZ7idXcB6W53UU9cJvzV19dDFEXY7XZcuHBB9a+hoQElJSXdb70XycnJXebx29ra0KdPn6C9ZyhobUObPgnBGSHxV1FBtupCREpOCvZOXcXltRjx7Eeq+wz60K5qcaUwJ73LdIzWEv/0gmPK6NSqniX1BcL83OFuL2SlxLMXt1Vi2NJSjHj2I1Wi1aKNFR43DVq0sQLDlpbi+a2ViqFx30/uA3snoKggG/uXTpMTGIMxnVSycDLSUhyjn+dbHO3TC8BLDzoSCHt6nR+ICwgpUdEmAv2S4pFicpx/jDoBekE92iYlPLqalnROvJaSS6XnSBejvROMSDEZ8cDoVPnnF9CZZNyTpcWhqpKiExx7YRh1AgQ4joc/SefedOn5t7W14d/+7d/w29/+FocOHcLWrVtdPvGpp54KSAOcDRo0CJWVnT0fu92Oa9euYejQoUF5v2BakpeBlaXH0Gaxa2LoX+oV6IXwlPV1J95FTyDYO3Wt3nG8S4JNMCr5dYcyWRRwDK2+8EMZ10CWLfU0yjK0XyKaXfTy0lISsH/p9IC8f6B4C07S/0vlgaV5W+WcLQA5gU8qk6usGOcrKQkt3qAucNSdnpk/pB6xcthXej/nglrhUPP7GarPG+CYvpHmqpWf+e6Msiqf45gacFQwLSrIxoRh/eT3laYJzre0BWxkxB8mo+Nc50sRJwFA9cs/DlpbugT/hIQEvPXWW0hISIDNZkNycjLy8vIgCI7rJ7vdjo0bNwatQbfffjveeecdNDY2YsCAAfj6668xZswYxMXFBe09g0U5RzlhWD8vjw4Fx+/Qn5KroRBv0HcJ/juPnQ/Ke0lDuK6GtLVyQSRV0XOuWGYTA1u21N3a7uLyWpfDuyajTnOBvzsjRM1mC8as2CEPFQ9OTpADvfRzryip8npy1gnAt7+fIc+Dj0pLxiPjbwhL9ThPFxeOglqXAjo/746ymI/yPldtdM6iD5T5ucOxesdxtLZ3JhFL76vMwwpElTx/tVnsOL1qBgDHyJLzBaZe6FzmF+wOo8uuTkKC45d1yy23IDc3Vw78AKDT6ZCTkxO0BiUmJmLx4sV499138f7776OiogKPP/540N4v2FaUVKGu2RyQ5Tk9pdX9r10FXeciJIHiLvDnhzHJz5mnKnoiArdc09XabqkCmivPzRgZkPcNJOWwvz/D28oaF3WKBC2JL8uupIeULJyM06tmoGThZNUFlZbMzx0urzoyGbue9o3dWJIkwFXukIAVD6rrFni6YPS3foovCnPSkRRvcLlmX1mDQpqKyR+dirQUk8uVKwJ8X9HiSx5VgqJGQ1FBNk6tmqGq86A8dsGeUlP9VBcvXnRZTOfq1avy9zabDbt27cLw4cFbCpWVlYWsrKygvX4oSScRKZktXAFGuQmE1va/LsxJVy0tAhxDlaEyKi057HPXStIQbmu7xWUhppIgbFoirVmOM+jdXnho5eJISdmrKy6v9bopUCBI6/ZHuSjdPS69L863mDV3ga0chZRGJZTr1AH1xjiehqVNRj2em3GbvDRVokxGC/dnxZeKrO7aqTxXpv6wHbU0QgGIbvM+Xnowy+02zTrBcUzvGdk1Ud7ViEgoqIL/K6+8gvp63+aG5s2bF5QGRbNw7riltYRDZ8/NGKnaTvf0BddLO3vKOZs+LcUU9t0EnSlPBre98L8ui5gE4kJS6qUqj4e7JX2ueota42pTIFdbJ/fUj380xO3F18HaS7CJXfM2tMBV4STlPLmIzmHnVMXacaAz499k1KH65fvk13BedqgVPbkAcc4TcN6QCOgs1OScY/HBF991mTIT0JnXpKWOlyr4Z2ZmYuXKlfKwvys2mw3/8z//E/SGRYv80anYfqQeCd3Y4SyQpL3EtZbsJ5H+WKU1vkfrWgJe395VsZr+SZGXSwIgIJX/lIWo3FFWo4sEE4b1U61zXr+nBk2t7QGt/+8psPu7B4hWuEoYBCD3ZOMNOvRLiu/yc3UnOS8SKC8epOWkygsAdzkdJxs6R8l/90NpagAYs6JME3tQKKmCf0FBgcfADwB6vR4PPvhgUBsVTZRXkeGyaGOFPFRlE7U5fCtRrlP2tZqir5ynFgCgqj68Wwl74yoZ0pmvtRGcH1eYk+41+E+5ZUBEndyd59zrms1IMRkDcuL15UJIC0Pe3eGu3VKOTLxB32XNfaxwDviefr9SXQEB6vPskrwMzV0UqsbynCvr2e12bN++Hc899xxWrVqFnTt3QhTFoFb4i0bSph/uSqQGW7iX+finM2vGJjr25A6E4vJal4VFtLAE0xMpKcl52L3ZbJET/3z9fDkHRl9qB2hx+NoTZRKjlOA65ZYB8rryFJMR+T+s/TbqBPl2iskoJ2y52xJ1SV5GwJPTtG7KLQPkYxir/ElKfOCHegPOOUvBSGzsKUH0sF3e5s2bUVJSgmnTpiE1NRX19fVoamrC4sWLVSsAwuHatWuYO3cu3n777ZBU+OsJ5bxtfhjKjirLZTrX59YaV0lbyuEzf0lJTc71z7VQzc8fUq+94XKb2zlso06AXRRV86+u1lZLpXE9LXMyGTuHebV0wvKHNFwrXQx4Gx2RHi/Ne6elmNA/KU5exqflv5tgUR7DWO35RyuPWTyffPIJ5s+fj5///Oe499578fOf/xyzZs3Cjh2B6Y3FonAk3klZyZFwAivMSe+y7Gj5tspuV7iTCrk4h8sf/2hIN1sYHlLPweohec1iF1VFa4rLa7F8m6Ni4vJtlThwqgkAsPPY917XN0vDvJEa+AH1KIAvPS/p8TNGpcrPu9jaAQDy11jj71a/FDk8LmDU6XTIzMxU3Zeeno5Nmzbhvvvuc/MscmZVVLzQ+jCzFix/IFM1P28Tu5/gptw7QCnShrMlP1LUcXdnxqjULhuwKPeYcEcqj1p6tD4qhnn9nX9393itzdWGUqTmMJB3Hnv+M2bMwMmTJ1X3dXR0oKmpSXXfwYMHA9+yKCL11gSEfnOfRRsr5CAQrk1iusN5fr7d6l/CVnF5LSat2o0Jw/p1mcON5J7MmaZrXh+z89j5bv2u7aK2l6qFgxbnaokCwWPPv62tDZs3b8bXX38trwL45ptv0N7eji1btgBwLP07fPgwxo0bF/zWRiiptrZUnS2UFwDKfaJdFSXRIlcrI8wWm1/HTspSfnFbpap+dzhyLgKp3ep9lzJ/M9tHpSWjqr4FM0alqtY3E1H08tjzP3r0KHr16oWWlhY0NDSgoaEBffr0wc033yzfbmxsRGtrcAqyRIuigmw5h317CDPvi8tr5bluk1Gv+fl+yfzc4arsa4k/x661w1EZTxn4wzHyEmjxBkd5UJNRh7QUU48v6NJSEvDI+BswONmECcP6sadLFCM89vzvuusuTJw40eumOvv27Qtoo6KR4YdKYwZfCkAHiLIHPWJg5CzPlOYZnfdqFwHkr9nn9iJGWcTHYuuaGPejCBn58ES5XlgK0MpypP6QVlEoi5gw6BPFBo89/7vuustl4N+2bZvq9uTJkdGjDKekeIPqaygo64tH0ny/xFV99KN1LS73t5cy26V9112JhoxtVz3zooJsl3ufe5KWkiC/BjO6iWKPx0jU1NSEbdu2ob6+Hnb7D5nXNhvOnj3LKn9+CkeFp0hP2nLX/rpmM1aWHlOVI21tt6q2EXXemEQAojq4+fq7dpXzwIxuotjjMfj/4Q9/gN1ux4QJE9CnT59QtSkqKXfVUt4Opvm5w7Gy9BjaLPaQ7pIXKPNzh6s2+1EyW+yoazbL0wLOsynOz3i5B4WCIoG0m5yUtCcdN2lDFkmkXxASUWB4DP6NjY0oKiqCwRC6oepopZyXXVl6LCSB6MCpJnRYHYE/EhPdpB6pL1u1etq4TSdoez+DQFAu0SsqyJZL+fZJMKLdaoPZYocpzJtLEZF2eJzzz8nJQW1t18pq+/fvD1qDopWysl+odncqOVLvU3EXrSvMSfd7TluSYjLipQezAtwi7XGet5duL8nLQL+keABAv6S4qL8IIiLfeOzSP/bYY/j3f/933HzzzdDrHUuMbDYbvvzyS0yaNCkkDYwWykpz7jYOIfeKCrK7dRFzePm9QWiN9jjP2zvf5tp9IlLyGPzffvttnDhxAjqdDsnJjmVSNpsN1655rzJGakUF2dh57DzMFjssdhHF5bVB7YXlr+lcftndXrPWjPKhtK1SWorn7aljBRP6iMiZx+B/6NAhvP7660hJSVHdX1ZWFsw2RS3l3uzBXlOtDJKRON/virS+f8SzH7nd2Q6I/Cp+RETB5nHOf8SIEbBarV3uv+2224LWoGim3CzF1Rr2QFJOLHR3RzytWp6fCb2LmZMUkxG/m5nFwE9E5IXH4D958mRs3LgRlZWVqK6uRnV1NSorK/H++++Hqn1RRbnMau+JxpC9r1T1LtJJm/UAwIoHs1QXOPmjU3F4+b0c3iYi8oHHYf8tW7agsbERx48fhyA4TrU2mw2XL18OSeOizfzc4Xhha2WXNejB4MvWr5FGWr62fk8N9i+dJt+nLHVLRETeeQz+Y8aMQX5+Pnr1UteF37hxY1AbFa0Kc9Jx4FRT0PdLLy6vRVW9I/DrBUd1wWgwP3e4KmudiWxERN3jdamfK2PHjg1KY2JBKPZLX7+nBjbREfhXPBg9le0Y7ImIAsPjnL8rx48fx5tvvhmMtsQIx6D/+RZz0BLxxqX3hV5w1BZgsCQiImc+1e21WCz4/PPPUVZWhpqaGu9PILfqmtsAADbRkYgXjOD8v5XnYBMdXwFmvhMRkZrH4N/Q0ICdO3diz549aGtrw8SJE1FYWIhDhw6Fqn1RR1moprW96zLKQJD2sne1pz0REVGX4C+KIg4fPoyysjIcPnwYQ4YMwcyZM3H69Gk8/fTTAIDU1OioGBcOj4y/QQ7+ngrVdJdyKoFFhImIyJUuwX/ZsmWora3F+PHj8eyzzyIrKwuCIOCtt96SH8PtfbtP2tI3WKJlTT8REQVPl4S/FStW4Je//CWMRiO+++471vEPsPm5w2EyOg67yagPaNJfcXktWswW+fYDUVLTn4iIAqtLzz8+Ph65ubnIzc3F8ePH8c4778BoNOLKlSvyY2pra5Gezizy7pAS/JZvq4TZYgtojf/VO47LBYRY356IiNzxmPCXkZGBjIwMXLx4EWVlZfj973+P0aNH4+TJk/j1r38dqjZGHWkdPgD0T4oL2Ou2W23y96EsH0xERJHFp3X+/fv3R0FBAf71X/8V8fHxOHbsWLDbFdWU+6p/FWUleImISPt8WucviYuLw/Tp0+U6/9Q9hTnpWFFSBYtdhEEXyGPZ+VrBLB9MRESRze8KfwAwbdq0QLcj5hh+2JPWYhcDmPTXuXSQw/5EROROt4I/9ZxVscY/UMvzrCzqQ0REPmDwDxNloFYm6vXoNRUXFBz2JyIidxj8w0S5Bj8QPfbi8lokGDt/ncHcNZCIiCKbXwl/wXb27Fm89dZbOHXqFHr37o0ZM2bgvvvuC3ezgqKoIBslR+oBdM7792S9//o9NTBb7EgxGZEUb1CtKCAiIlLSVM9/w4YNmDJlCl588UVkZ2djw4YNqKysDHezgsao78zO72nZ36bWdgCOKYT9S6dxK18iInJLUz3/W265BVOnTgUA3HjjjTh06BCOHz+OrKysMLcsOJLiDGj+oRxvT4r9FJfXwmyxA4D8lYiIyB1N9fwfeeQR+XudTge9Xu91B0Gz2Yxr167J/ywWi8fHa8mSvAz5+6M9KPbz4rbO0RFWYCAiIm801fNXOnfuHERRxOjRoz0+bsGCBarbs2bNwuzZs4PZtIApzEnH81t7Pq2h3Bn45ZnROUpCRESBo8ngb7fbUVxcjH/5l39BYmKix8euXbsWJpNJvm00GoPdvKDpTtKfc4EgzvUTEZE3IQv+L730Ei5fvuz2/x9++GHk5OQAALZu3Yq77roLN954o9fXNZlMXi8QtGxUWrI85P/itkq/g7cyUdBk1Ae0bUREFJ1CFvxffPFFnx73+eefo3///pgwYUKQW6QNF1s75O/tIrBoY4VfW/H2T4pDXbMZRr2A52bcFowmEhFRlNFUwt9XX32FL774Atdddx2qqqrkf3Z79Gawz88drkrS2/7D2n9fSbsCWm0ih/yJiMgnmpnzb2howKuvvoq2tjZ89tlnqv977733wtSq4CvMScf6PTWoazZ36/kGnRCE3QGJiCiaaSb4Dxw4EBs2bAh3M8JiXHpfOfj7U+h30cYKWOzczIeIiPyjqWH/WKWswy+gawa/OyWKKQIrLwKIiMhHDP4aoKzDLwJYWVrt9TnOFwjKjYKIiIg8YfDXgMKcdOQrgrfZYvPa+3e+QPBnhQAREcU2Bn+NKCrIxqi0ZPm2smSvK2aLTf6e6/uJiMgfDP4acqbpmvy9tyl8oyK7n+v7iYjIHwz+GtJu7ezNp5hcL8QoLq/FiGc/krP8dQJL+hIRkX8Y/DWlszffYra6nPdfveO4ankfk/yJiMhfDP4aEm/o/HWIAJ7fWolJq3apHtNuVVc7VOYJEBER+UIzRX4IWJKXgRe2VqoK/dQ1t2HEsx8BQJeCPkadgJKFk0PYQiIiigYM/hoizd0/v1Wd6e+uit/y/Mygt4mIiKIPh/01pjAnHSajb78WJvoREVF3MPhr0HMzRkLvZZ8eIzfyISKibmLw16DCnHTMGOW5XG9SPGdsiIioexhBNEq52Y/SqLRkXGztUO0HQERE5A/2/DVqfu5wpJiM8m2dAOgF4MbrkrB/6TTO9xMRUbcx+GtUYU46Di+/F7+bmYW0FBNEEbCJQOnReu9PJiIi8oDBX+MKc9Kxf+k0PDA6FXoBXnMBiIiIvOGcf4QoKsjmtr1ERBQQ7PkTERHFGEEUxYjcGkYURZjNZphMJggC17wTERH5KmKDPxEREXUPh/2JiIhiDIM/ERFRjGHwJyIiijEM/kRERDGGwZ+IiCjGMPgTERHFGAZ/IiKiGMPgT0REFGMY/ImIiGIMgz8REVGMYfAnIiKKMQz+REREMYbBn4iIKMYw+BMREcUYBn8iIqIYw+BPREQUYxj8iYiIYgyDPxERUYxh8CciIooxDP4+slgs2LRpEywWS7ibEjV4TAOPxzTweEyDg8c18Pw5pgz+PrJYLNiyZQs/qAHEYxp4PKaBx2MaHDyugefPMWXwJyIiijEM/kRERDHGEO4GRApRFAEAZrM5zC2JHtKx5DENHB7TwOMxDQ4e18CTjqUUrzwRRF8eRbh8+TLmzZsX7mYQERF59MYbb6BPnz4eH8Pg7yNRFHmFSkREmmcymSAIgsfHMPgTERHFGCb8ERERxRgGfyIiohjD4E9ERBRjGPyJokxbWxs2b96Ma9euhbspUaejoyPcTSBSsVqt2LNnD65everX87jO3wcNDQ0oKyuDIAg4c+YMHn/8caSlpYW7WRHLbrdj69at2L17N1pbW5GRkYG5c+di4MCB4W5aVNi+fTu2bNmC++67L9xNiRpHjhzB/v37MXLkSOTm5oa7ORHv5MmT2LNnD3r37o3a2lrcf//9yMzMDHezIkpHRwfKyspw5MgRfPXVVygqKkKvXr0AAKdOncLnn38Oi8WChoYGPPXUU0hJSVE9nz1/L+x2O9asWYOHHnoIc+bMwfTp0/H666/7VESBXKuurkZ1dTUWLlyIBQsW4MyZM1i3bl24mxUVLly4IC9J1ev1YW5NdNiyZQs+++wzzJs3j4E/ANra2rB27Vo88cQTePTRR3H//fdj/fr14W5WxLFarUhNTcWyZctU91+7dg0bNmzAI488gieeeAIjR47EG2+80eX5DP5eVFZWol+/fkhMTAQAjBkzBufOnUN9fX2YWxa5Ghsb8eSTTyIjIwO33347Zs+ejRMnTsBut4e7aRFv165dmD59OgDAYODAXk/t27cPhw4dwq9+9SsezwA5d+4c2tvb5eOZlpaGuLi4MLcq8iQmJmLs2LHQ6dRh/PPPP8eIESPk4zt+/HgcPny4yzQgg78XNTU16Nevn3w7Li4OAwcORENDQxhbFdlyc3MxaNAg+bbBYMCQIUO6fIjJPydPnsSwYcNgNBoBsOffU1arFcXFxXjooYe8Fkwh36WlpaGtrQ1r1qzB1atXsWPHDjzxxBPhblbUcI5ZAwYMgF6vx6VLl1SP49nWi5aWFiQkJKjuS0hIQGtra5haFH0OHz6MvLy8cDcjoomiiC+//BLjx4+X7+PFVM8cO3YMzc3NsNlsePHFF7FgwQL89a9/5QhVD8XFxeH555/HkSNH8Ktf/QoXL17kfH8AOccsQRCQkJDQJSGQZwcvrFZrl72RDQaDPA1APVNVVQVBEHDPPfeEuykRrby8HDk5OeyhBtDZs2eh0+lgtVrxwgsv4Be/+AW2b9+Ozz77LNxNi2h2ux2ffvopnnzySTz55JOoqKjAc889x/LpAeJrzOIklhfJyclobm5W3dfW1uZ10wTy7tKlSygrK8PTTz/NoNVDW7Zswffffw+gc0evxx57DLNmzcKsWbPC2bSIZbVaMXDgQNxxxx0AgLFjx2LkyJE4ceIEJk+eHObWRa69e/dCFEX5uN52221YvHgxjh49in/6p38Kc+siX3JycpcLKVcxi8Hfi0GDBqGyslK+bbfbce3aNQwdOjSMrYp80lr0efPmIT4+PtzNiXirV6+Wv29oaMCiRYtQXFzMIeoeGDhwIKxWq+q+pKQk9O3bN0wtig7ffvutaqn0oEGDcMMNN3RZikbdM2jQIJw9e1a+ffXqVSQnJ3cJ/hz29+L222/H2bNn0djYCAD4+uuvMWbMGGan9oDVasW6deuQmZmJ06dPo6qqClVVVXLPlXqmvb0dgGMdMDPUuy87OxsWi0U+kXZ0dODMmTO48847w9yyyDZixAgcO3ZMHqFqaGhAYmIibr755jC3LDJJF6jS1zvuuAOVlZVydv/BgwcxderULqOr3NXPB5WVldixYweuv/56WK1WzJ49m8G/B/7yl79gx44dXe7/yU9+gp/+9KdhaFH0+OSTT/DFF1/g0KFDmDJlCqZNm4Zbb7013M2KWKdOncLf/vY3DB06FFevXsWkSZMwYsSIcDcroomiiM2bN+PixYsYNGgQzGYz7r//fk6ldkN5eTkOHTqEvXv34vbbb8eECRMwZcoU7N+/HwcOHMD1118PQRDw0EMPdUkAZvAnIiKKMRz2JyIiijEM/kRERDGGwZ+IiCjGMPgTERHFGAZ/IiKiGMPgT0REFGMY/ImIiGIMgz8REVGMYfAnIiKKMSz8TUSa0NTUhP/6r/9Camoq4uPj8bOf/Sygr19VVYXPP/8cZrMZgwcPxuzZswP6+kSRhMGfKEa9+uqraGtrg8FgQGNjI+rq6jBmzBgAjs1WHn30UYwfPx5msxkJCQlB33bZarVCFEU8+eSTQXn9zMxMZGZmoqqqCp9++mlQ3oMoUjD4E8WowYMHY86cOQCAjz/+GO+99x6eeeYZAI7NrGw2GwDgN7/5DZ5++mmMHj06bG0losBi8CeKUbm5ufL3BoMBer1evj106FD5+2eeeQbXX399KJtGREHG4E8Uo9LS0lS3lcP6ffr0gSiKqKmpwZEjRxAfH4++ffvigw8+wOHDh/GLX/wCJSUlOHPmDKZOnYqZM2firbfewtGjRzFs2DAsWrQIiYmJAIC6ujpUVVWhpaUFVVVVuPvuuzF58mSf2njw4EHs3LkTAwYMQP/+/bF7924kJSVh4cKFOHfuHDZt2oTm5mY8/vjjuOOOOwAA1dXV2L9/P0wmE86fP4+7776boxZETpjtT0QuiaKIs2fPYsuWLWhubobJZMJ9992H8+fP49ChQ1iwYAGeffZZbN26FW+88QZmzpyJ1157DWfPnsWuXbsAABcuXMDatWsxffp0zJ49G0888QTWrVuHS5cu+dSG0aNHIzk5GRUVFbjpppvw2muvYcCAAXjllVdw6dIlvPTSS5g5cybefPNNeZpi3bp1mDlzJubMmYOf/exnaGpqCtoxIopUDP5E5JJOp8Ndd92FlJQUAI6RgUGDBgEA8vLykJKSgvT0dKSmpiIrKwtpaWlITExEdnY26urqAAAVFRVobW3FBx98gE2bNuHw4cOYMGECzGazT20wGAy47rrrcOutt2LUqFHQ6/XIycmB3W7H3Xffjbi4OEycOBFms1m+oLDZbHjvvfdQXV2Nfv36YerUqYE/OEQRjsP+ROSRcjpA+l6n6+w3JCcnq2736dMHjY2NAIDvvvsOgwYNQkFBQY/a4On9kpOTAQB2ux0AsHjxYmzevBkrV66E0WjEU089JU8JEJEDgz8RBU1iYiJOnz4Nq9UKgyE0p5vevXtj2bJlaGtrw7Zt2/D3v/+dwZ/ICYf9iQgWiwUdHR0u/89ut8u9amleXbrt/P/K+wBg4sSJuHr1Kt555x15Hf8//vEP+XV84fz6rt5P+Z4lJSUAgISEBNx0001IT0/3+b2IYgWDP1GM27dvH/bs2YP29na88847qK+vB+AourNp0ya0tLRg586dOHnyJN59910AwIcffojGxkZ8+OGH+O677/Dpp5+ioqJCfs3q6mp8/PHHSE9Px7Jly/Dtt99i0aJF+NOf/gS9Xq9aVuhJeXk5vvzyS1RXV+PTTz/FyZMn8dFHH6GlpQV//etf0d7eLj928+bNqK+vx7lz5/Cf//mfePfdd3HixAk8/vjjATxaRNFBEEVRDHcjiCh62O12CILgd0XAhoYGrF+/HsuXLw/qe0oV/p5++mm/34coWnDOn4gCSpmMF83vSRTJ+BdDREQUY9jzJyJNMBgMEAQBf/7zn0Oyqx9RLOOcPxERUYzhsD8REVGMYfAnIiKKMf8/Uw0t70HuWiUAAAAASUVORK5CYII=",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=511.81102362204723/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot raw data\n",
    "fig = fid.plot(figsize=figsize)  # Wide Layout: ~16cm, Margin Layout: 10.7cm\n",
    "fig.savefig(\"fid_raw.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "398d9fa19ebf4deeb2e5ba57270cd2c4",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=511.81102362204723/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Try fitting the envelope\n",
    "try:\n",
    "    # Plot raw data\n",
    "    fig = fid.plot(\n",
    "        figsize=figsize,  # Wide Layout: ~16cm, Margin Layout: 10.7cm\n",
    "    )\n",
    "    axes = fig.axes[0]\n",
    "\n",
    "    envelope = np.abs(sps.hilbert(fid.real))\n",
    "    fit_exp_decay = process.exp_decay.fit(fid.ms_scale, envelope)\n",
    "    ms_scale_fine = np.linspace(\n",
    "        fid.ms_scale[0], fid.ms_scale[-1], len(fid.ms_scale) * 10\n",
    "    )\n",
    "    axes.plot(\n",
    "        ms_scale_fine,\n",
    "        fit_exp_decay(ms_scale_fine),\n",
    "        linestyle=\"--\",\n",
    "    )\n",
    "\n",
    "    # Try fitting the absolute directly\n",
    "    fit_abs = process.exp_decay.fit(fid.ms_scale, fid.absolute)\n",
    "    axes.plot(\n",
    "        ms_scale_fine,\n",
    "        fit_abs(ms_scale_fine),\n",
    "        linestyle=\":\",\n",
    "    )\n",
    "except RuntimeError:\n",
    "    pass\n",
    "\n",
    "fig.savefig(\"fid_envelope_fit.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Amplitude: 3.1706557340566004\n",
      "Frequency: 0.5892140431027253\n",
      "Phase: 2.02247888878803\n",
      "Offset: -0.020663079016846702\n",
      "Lambda: 0.3928068920346734\n",
      "T2*: 2.545780179212663 ms\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d3c69b29ed404e28bfbb714610dac953",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=511.81102362204723/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Try to plot simple least squares fit for a decaying sinusoid\n",
    "decaying_sinus_fit = decaying_sinus.fit(fid.ms_scale, fid.real)\n",
    "ms_scale_fine = np.linspace(fid.ms_scale[0], fid.ms_scale[-1], len(fid.ms_scale) * 10)\n",
    "print(decaying_sinus_fit)\n",
    "print(f\"T2*: {1/decaying_sinus_fit.lambda_} ms\")\n",
    "\n",
    "# Plot raw\n",
    "fig = fid.plot(figsize=figsize)  # Wide Layout: ~16cm, Margin Layout: 10.7cm\n",
    "\n",
    "# Plot fit\n",
    "fig.axes[0].plot(\n",
    "    ms_scale_fine,\n",
    "    decaying_sinus_fit(ms_scale_fine),\n",
    "    linestyle=\"--\",\n",
    ")\n",
    "\n",
    "fig.savefig(\"fid_sine_fit.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0c02a226ef9c460885014ba642127c5d",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=511.81102362204723/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Crop first points\n",
    "# They lead to sinc shaped peaks due to the transient response of the CIC filter\n",
    "# See Protein NMR Spectroscopy 3.3.2, Figure 3.14, p. 157 for more details\n",
    "# fid.data = fid[40:]\n",
    "fig = fid.plot(figsize=figsize)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Phase Shift: 37.15743750000004\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d28b91cbb87846d7bb01d78d2fb5c3aa",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=511.81102362204723/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Spectrum\n",
    "spectrum, p0 = fid.spectrum()\n",
    "print(f\"Phase Shift: {p0}\")\n",
    "\n",
    "peak_spectrum = spectrum.crop_around(spectrum.max_peak, 200)\n",
    "peak_fig = peak_spectrum.hz.plot(figsize=figsize)\n",
    "\n",
    "peak_fig.savefig(\"fft_raw.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Amplitude: 2505.992379744465\n",
      "Gamma: 58.829497461170995 Hz\n",
      "Full Width at Half Maximum: 117.65899492234199 Hz\n",
      "T2* is thus: 2.705359555330925 ms\n",
      "Position: -576.7271116458904 Hz\n",
      "Amplitude: 2505.992379744465\n",
      "Noise: 7.828223705291748\n",
      "SNR: 320.122734618641\n",
      "\n",
      "-------- Estimation for 2.5Hz FWHM -------\n",
      "Gamma: 1.25\n",
      "Amplitude: 117941.01787351268\n",
      "SNR 15066.127682808366\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=511.81102362204723/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lorentz = peak_spectrum.hz.fit_lorentz()\n",
    "hz_scale_fine = np.linspace(\n",
    "    peak_spectrum.hz.limits[0], peak_spectrum.hz.limits[1], peak_spectrum.hz.size * 10\n",
    ")\n",
    "\n",
    "fig = peak_spectrum.hz.plot(figsize=figsize)\n",
    "fig.axes[0].plot(hz_scale_fine, lorentz(hz_scale_fine), linestyle=\"--\")\n",
    "\n",
    "print(f\"Amplitude: {lorentz.amplitude}\")\n",
    "print(f\"Gamma: {lorentz.gamma} Hz\")\n",
    "print(f\"Full Width at Half Maximum: {lorentz.fwhm} Hz\")\n",
    "print(f\"T2* is thus: {1000/(np.pi * lorentz.fwhm)} ms\")\n",
    "print(f\"Position: {lorentz.position} Hz\")\n",
    "\n",
    "# Estimate SNR\n",
    "noise = spectrum.hz.noise(1000, 2000)\n",
    "snr = lorentz.amplitude / noise\n",
    "print(f\"Amplitude: {lorentz.amplitude}\")\n",
    "print(f\"Noise: {noise}\")\n",
    "print(f\"SNR: {snr}\")\n",
    "\n",
    "# Assuming we can get to 2.5Hz (0.1ppm) linewidth (FWHM)\n",
    "f = lorentz.fwhm / 2.5\n",
    "print(f\"\\n-------- Estimation for 2.5Hz FWHM -------\")\n",
    "print(f\"Gamma: {lorentz.gamma/f}\")\n",
    "print(f\"Amplitude: {lorentz.amplitude * f}\")\n",
    "print(f\"SNR {lorentz.amplitude * f / noise}\")\n",
    "\n",
    "fig.savefig(\"fft_fit.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Peak(location=-546.8749999999991, amplitude=2495.631569125756, fwhm=118.35288856816597, signal_strength=5991.04345703125, other_parameters=())]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b51f171f186f42a696c86488ec77e199",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=511.81102362204723/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "peaks = peak_spectrum.ppm.peaks()\n",
    "fitted_spectrum, peaks = peak_spectrum.hz.fit()\n",
    "\n",
    "fig = peak_spectrum.hz.plot(figsize=figsize)\n",
    "fig.axes[0].plot(peak_spectrum.hz.scale, fitted_spectrum)\n",
    "print(peaks)"
   ]
  }
 ],
 "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
}
