{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "af663b9b",
   "metadata": {},
   "source": [
    "## Configuring PTRS\n",
    "This notebook shows different PTRS configurations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a6dcc507",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.io\n",
    "\n",
    "from neoradium import Carrier, PDSCH, Grid\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "288316d4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Carrier Properties:\n",
      "  startRb: 0\n",
      "  numRbs: 5\n",
      "  Cell Id: 1\n",
      "  Active Bandwidth Part: 0\n",
      "  Bandwidth Parts: 1\n",
      "  Bandwidth Part 0:\n",
      "    Resource Blocks: 5 RBs starting at 0 (60 subcarriers)\n",
      "    Subcarrier Spacing: 30 KHz\n",
      "    CP Type: normal\n",
      "    bandwidth: 1800000 Hz\n",
      "    symbolsPerSlot: 14\n",
      "    slotsPerSubFrame: 2\n",
      "    nFFT: 128\n",
      "\n"
     ]
    }
   ],
   "source": [
    "carrier = Carrier(numRbs=5, spacing=30)  # 5*12*30000 = 1,800,000 Hz\n",
    "carrier.print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "387474f9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "PDSCH Properties:\n",
      "  mappingType: A\n",
      "  nID: 1\n",
      "  rnti: 1\n",
      "  numLayers: 2\n",
      "  numCodewords: 1\n",
      "  modulation: 16QAM\n",
      "  portSet: [0, 1]\n",
      "  symSet:   0   1   2   3   4   5   6   7   8   9  10  11  12  13\n",
      "  prbSet:   0   1   2   3   4\n",
      "  interleavingBundleSize: 0\n",
      "  PRG Size: Wideband\n",
      "  Bandwidth Part:\n",
      "    Resource Blocks: 5 RBs starting at 0 (60 subcarriers)\n",
      "    Subcarrier Spacing: 30 KHz\n",
      "    CP Type: normal\n",
      "    bandwidth: 1800000 Hz\n",
      "    symbolsPerSlot: 14\n",
      "    slotsPerSubFrame: 2\n",
      "    nFFT: 128\n",
      "  DMRS:\n",
      "    configType: 1\n",
      "    nIDs: []\n",
      "    scID: 0\n",
      "    sameSeq: 1\n",
      "    symbols: Single\n",
      "    typeA1stPos: 2\n",
      "    additionalPos: 0\n",
      "    cdmGroups: [0, 0]\n",
      "    deltaShifts: [0, 0]\n",
      "    allCdmGroups: [0]\n",
      "    symSet: [2]\n",
      "    REs (before shift): [0, 2, 4, 6, 8, 10]\n",
      "    epreRatioDb: 0 (db)\n",
      "    PTRS:\n",
      "      timeDensity: 1\n",
      "      freqDensity: 2\n",
      "      reOffset: 0\n",
      "      portSet: [0]\n",
      "      epreRatio: 0\n",
      "      symSet: [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Create a 2-layer PDSCH with Mapping Type A (default) using All Symbols and PRBs in the BWP (default)\n",
    "pdsch = PDSCH(carrier.curBwp, numLayers=2)\n",
    "pdsch.setDMRS()   # Default DMRS settings\n",
    "pdsch.setPTRS()   # Default PTRS settings\n",
    "pdsch.print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a2d73826",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'GridSize': 1680, 'UNASSIGNED': 1581, 'DMRS': 60, 'PTRS': 39}"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get a resourse grid from the PDSCH object. This creates a Grid object and populates it with the DMRS values\n",
    "grid = pdsch.getGrid()\n",
    "grid.getStats() # Print some statistics about the grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3174f842",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Draw grid map for all layers, one slot and one PRB (reRange=(0,12))\n",
    "grid.drawMap(pdsch.portSet, reRange=(0,12))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "78bbba1d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Lets see an example of DMRS with double symbol (symbols=2) with PTRS timeDensity of 2 which\n",
    "# means PTRS values at every other OFDM symbol. (Drawing only for one layer)\n",
    "pdsch.setDMRS(symbols=2)\n",
    "pdsch.setPTRS(timeDensity=2)\n",
    "pdsch.getGrid().drawMap()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "67a4a3a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Using 2 additional symbol positions for DMRS (additionalPos=2) with PTRS reOffset=3 (or '11') which\n",
    "# means having PTRS at RE index 8 (See \"resourceElementOffset\" in 3GPP TS 38.211, Table 6.4.1.2.2.1-1).\n",
    "pdsch.setDMRS(additionalPos=2)\n",
    "pdsch.setPTRS(timeDensity=2, reOffset=3)\n",
    "pdsch.getGrid().drawMap(title=\"DMRS with 2 more symbol allocations (additionalPos=2)\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "fd3ecb9e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Comparing freqDensity=2 vs freqDensity=4\n",
    "# Using 1 additional symbol positions for DMRS (additionalPos=1) with PTRS reOffset=1 (or '01') which\n",
    "# means having PTRS at RE index 2 (See \"resourceElementOffset\" in 3GPP TS 38.211, Table 6.4.1.2.2.1-1).\n",
    "# We do this once with freqDensity=2 (default) and once with freqDensity=4 and compare the map for \n",
    "# 5 RBs (60 REs)\n",
    "pdsch.setDMRS(additionalPos=1)\n",
    "pdsch.setPTRS(timeDensity=2, freqDensity=2, reOffset=1)  # PTRS in every other RB \n",
    "pdsch.getGrid().drawMap(reRange=(0,60), title=\"PTRS with freqDensity=2\")\n",
    "\n",
    "pdsch.setPTRS(timeDensity=2, freqDensity=4, reOffset=1)  # PTRS in every other 4 RBs \n",
    "pdsch.getGrid().drawMap(reRange=(0,60), title=\"PTRS with freqDensity=4\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "74b274f7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}