{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b01e3f8f",
   "metadata": {},
   "source": [
    "# “Hello, world!”"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6e7121a9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-06T18:38:12.633166Z",
     "iopub.status.busy": "2026-08-06T18:38:12.633051Z",
     "iopub.status.idle": "2026-08-06T18:38:15.805933Z",
     "shell.execute_reply": "2026-08-06T18:38:15.804894Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Import Sionna\n",
    "try:\n",
    "    import sionna.phy\n",
    "except ImportError as e:\n",
    "    import os\n",
    "    import sys\n",
    "    if 'google.colab' in sys.modules:\n",
    "       # Install Sionna in Google Colab\n",
    "       print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n",
    "       os.system(\"pip install sionna\")\n",
    "       os.kill(os.getpid(), 5)\n",
    "    else:\n",
    "       raise e\n",
    "\n",
    "# IPython \"magic function\" for inline plots\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7c64ad8",
   "metadata": {},
   "source": [
    "Let us first create a [BinarySource](https://nvlabs.github.io/sionna/phy/api/mapping/sionna.phy.mapping.BinarySource.html) to generate a random batch of bit vectors that we can map to constellation symbols:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "29709884",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-06T18:38:15.808346Z",
     "iopub.status.busy": "2026-08-06T18:38:15.808071Z",
     "iopub.status.idle": "2026-08-06T18:38:16.077959Z",
     "shell.execute_reply": "2026-08-06T18:38:16.076849Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[0., 0., 0., 1.],\n",
       "        [0., 1., 0., 1.],\n",
       "        [0., 1., 1., 0.],\n",
       "        ...,\n",
       "        [1., 1., 0., 1.],\n",
       "        [1., 0., 0., 0.],\n",
       "        [0., 0., 0., 0.]], device='cuda:0')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batch_size = 1000 # Number of symbols we want to generate\n",
    "num_bits_per_symbol = 4 # 16-QAM has four bits per symbol\n",
    "binary_source = sionna.phy.mapping.BinarySource()\n",
    "b = binary_source([batch_size, num_bits_per_symbol])\n",
    "b"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b2026eb",
   "metadata": {},
   "source": [
    "Next, let us create a [Constellation](https://nvlabs.github.io/sionna/phy/api/mapping/Constellation.html) and visualize it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6aea6ae4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-06T18:38:16.079991Z",
     "iopub.status.busy": "2026-08-06T18:38:16.079845Z",
     "iopub.status.idle": "2026-08-06T18:38:16.229989Z",
     "shell.execute_reply": "2026-08-06T18:38:16.228848Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "constellation = sionna.phy.mapping.Constellation(\"qam\", num_bits_per_symbol)\n",
    "constellation.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d95dd632",
   "metadata": {},
   "source": [
    "We now need a [Mapper](https://nvlabs.github.io/sionna/phy/api/mapping/Mapper.html) that maps each row of b to the constellation symbols according to the bit labeling shown above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e7d79b3f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-06T18:38:16.232022Z",
     "iopub.status.busy": "2026-08-06T18:38:16.231873Z",
     "iopub.status.idle": "2026-08-06T18:38:16.262120Z",
     "shell.execute_reply": "2026-08-06T18:38:16.261180Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[ 0.3162+0.9487j],\n",
       "        [ 0.3162-0.9487j],\n",
       "        [ 0.9487-0.3162j],\n",
       "        [-0.9487-0.9487j],\n",
       "        [-0.9487+0.9487j],\n",
       "        [-0.3162+0.9487j],\n",
       "        [ 0.9487-0.9487j],\n",
       "        [-0.9487+0.9487j],\n",
       "        [-0.9487+0.3162j],\n",
       "        [ 0.3162+0.9487j]], device='cuda:0')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mapper = sionna.phy.mapping.Mapper(constellation=constellation)\n",
    "x = mapper(b)\n",
    "x[:10]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb549a7f",
   "metadata": {},
   "source": [
    "Let us now make things a bit more interesting a send our symbols over and [AWGN channel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/awgn.html#sionna.phy.channel.AWGN):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5b74e2d5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-06T18:38:16.264418Z",
     "iopub.status.busy": "2026-08-06T18:38:16.264275Z",
     "iopub.status.idle": "2026-08-06T18:38:16.440041Z",
     "shell.execute_reply": "2026-08-06T18:38:16.439136Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "awgn = sionna.phy.channel.AWGN()\n",
    "ebno_db = 15 # Desired Eb/No in dB\n",
    "no = sionna.phy.utils.ebnodb2no(ebno_db, num_bits_per_symbol, coderate=1)\n",
    "y = awgn(x, no).cpu().numpy()\n",
    "\n",
    "# Visualize the received signal\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "fig = plt.figure(figsize=(7,7))\n",
    "ax = fig.add_subplot(111)\n",
    "plt.scatter(np.real(y), np.imag(y));\n",
    "ax.set_aspect(\"equal\", adjustable=\"box\")\n",
    "plt.xlabel(\"Real Part\")\n",
    "plt.ylabel(\"Imaginary Part\")\n",
    "plt.grid(True, which=\"both\", axis=\"both\")\n",
    "plt.title(\"Received Symbols\");"
   ]
  }
 ],
 "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": "3.12.12"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}