{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "182a3044",
   "metadata": {},
   "source": [
    "## Using ``otherCdmGroups`` parameter\n",
    "This notebook shows how to set the \"otherCdmGroups\" parameter to let the PDSCH know that some CDM groups are used by other devices and therefore data should not be assigned in those CDM groups. (CDM Groups without data)"
   ]
  },
  {
   "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, 1]\n",
      "    symSet: [2]\n",
      "    REs (before shift): [0, 2, 4, 6, 8, 10]\n",
      "    epreRatioDb: -3 (db)\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",
    "# This PDSCH is using CDM group 0 only. (2 layers -> 2 ports -> one CDM group)\n",
    "# Now inform DMRS that for example we want to use CDM group 1 for a different device\n",
    "pdsch.setDMRS(otherCdmGroups=[1])\n",
    "pdsch.print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a2d73826",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'GridSize': 1680, 'UNASSIGNED': 1560, 'NO_DATA': 60, 'DMRS': 60}"
      ]
     },
     "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",
    "# Print some statistics about the grid\n",
    "grid.getStats()\n",
    "# Note that there are some resources assigned as \"NO_DATA\""
   ]
  },
  {
   "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"
    }
   ],
   "source": [
    "# Draw grid map for all layers, one slot and one PRB (reRange=(0,12))\n",
    "grid.drawMap([0], reRange=(0,12))\n",
    "# Note that the REs in the DMRS symbols that are not used by DMRS, cannot be used for data. \n",
    "# If we use these REs for data, it would interfere with the DMRS for the other device."
   ]
  },
  {
   "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 another example. Here we are telling DMRS object that CDM groups 1 is used by \n",
    "# other devices. In config type 2, we can have 3 CDM groups. So, as you can see the first CDM group \n",
    "# (CDM Group 0) is used by this PDSCH. The second one (CDM Group 1) is used by other UEs (e.g. PDSCH of a\n",
    "# different UE). The third one (CDM Group 2) is not used by this PDSCH or other devices. Therefore, the\n",
    "# resources are available to the data.\n",
    "pdsch.setDMRS(configType=2, otherCdmGroups=[1], symbols=2)\n",
    "grid = pdsch.getGrid()\n",
    "grid.drawMap([0], reRange=(0,12))\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"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Now let's look at another example. Here we have a PDSCH with 4 layers. This means CDM Groups 0 and 1 are used\n",
    "# by this PDSCH.\n",
    "pdsch = PDSCH(carrier.curBwp, numLayers=4)\n",
    "pdsch.setDMRS(configType=2, symbols=2)\n",
    "# We draw the map for layers 0 and 2 which are in CDM groups 0 and 1 correspondingly. As you can see\n",
    "# the CDM Groups 1 and 0 are marked as \"NO_DATA\" for ports 0 and 2. This is to prevent the DMRS\n",
    "# signals to interfer with eachother. The REs of CDM Group 2 is available for all layers to be used by\n",
    "# data\n",
    "grid = pdsch.getGrid()\n",
    "grid.drawMap([0,2], reRange=(0,12))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "fd3ecb9e",
   "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": [
    "# In the same configuration as above, suppose there is another PDSCH for another UE using the \n",
    "# CDM group 2. Now we need to make sure the REs in this CDM group are not used by this PDSCH.\n",
    "pdsch.setDMRS(configType=2, symbols=2, otherCdmGroups=[2])\n",
    "pdsch.getGrid().drawMap([0,2], reRange=(0,12))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9f61e25e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "43ebae1b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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