{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "88a6891a",
   "metadata": {
    "nbsphinx": "hidden"
   },
   "outputs": [],
   "source": [
    "%%capture\n",
    "# Install HermesPy and its dependencies in the current kernel\n",
    "# When running on Colabs, a restart of the runtime is required afterwards\n",
    "\n",
    "import sys\n",
    "!{sys.executable} -m pip install --quiet hermespy"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "199efcaa",
   "metadata": {},
   "source": [
    "Implementing Communication Waveforms\n",
    "====================================\n",
    "\n",
    "This Jupyter Notebook will highlight the development steps required to implement a new communication waveform within HermesPy.\n",
    "\n",
    "Communication waveforms are the core configuration object of [Modem](../api/modem/modem.BaseModem.rst) operators.\n",
    "They can be assigned to the [waveform](../api/modem/modem.BaseModem.rst#hermespy.modem.modem.BaseModem.waveform) slot and control the actual electromagnetic waveform transmitted and received by the modem, transmitting and receiving information in the form of binary bits.\n",
    "\n",
    "Waveforms, by default, implement four complementary routines of the signal processing pipeline for communication, namely [modulation](../api/modem/waveform.rst#hermespy.modem.waveform.CommunicationWaveform.modulate), [demodulation](../api/modem/waveform.rst#hermespy.modem.waveform.CommunicationWaveform.demodulate),  [mapping](../api/modem/waveform.rst#hermespy.modem.waveform.CommunicationWaveform.map) and [unmapping](../api/modem/waveform.rst#hermespy.modem.waveform.CommunicationWaveform.unmap).\n",
    "Mapping converts a sequence of communication bits to communication symbols on the complex plane during transmission, unmapping inverts this process by converting a communication symbols to a sequence of communication bits.\n",
    "Modulation converts communcation symbols to base-band time-domain representations of waveforms to be transmitted, demodulation converts received base-band time-domain waveforms back to complex communication symbols.\n",
    "Additionally, waveforms may implement routines for synchronization and equalization, but for the sake of simplicity the implementation of these routines will be skipped in this tutorial.\n",
    "\n",
    "The waveform we will implement is a amplitude shift keying (ASK) modulation of variable modulation orders (number of modulation symbols). Initially, we will import all required Hermes classes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "995fbc70",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from hermespy.core import ConsoleMode, dB, Signal\n",
    "from hermespy.modem import StatedSymbols, Symbols, CommunicationWaveform"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "950c5d82",
   "metadata": {},
   "source": [
    "[Signal](../api/core/signal.rst#hermespy.core.signal_model.Signal) is Hermes base class describing sampled MIMO signals in time-domain. [Symbols](../api/modem/symbols.rst#hermespy.modem.symbols.Symbols) is the signal model's equivalent on the demodulated symbol abstraction level, describing multiple streams of symbols in time-domain. The CommunicationWaveform represents, as already mentioned, the abstract base class of all communication waveforms. It features several abstract methods and properties to be implemented by the specific waveforms:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bebfb7b5",
   "metadata": {},
   "outputs": [],
   "source": [
    "from typing_extensions import override\n",
    "\n",
    "class AmplitudeShiftKeying(CommunicationWaveform):\n",
    "    \"\"\"A simple Amplitude Shift Keying (ASK) waveform implementation for demonstration purposes.\"\"\"\n",
    "\n",
    "    @property\n",
    "    @override\n",
    "    def num_data_symbols(self) -> int:\n",
    "        return 10\n",
    "\n",
    "    @override\n",
    "    def samples_per_frame(self, bandwidth: float, oversampling_factor: int) -> int:\n",
    "        return self.num_data_symbols * oversampling_factor\n",
    "\n",
    "    @override\n",
    "    def symbol_energy(self, bandwidth: float, oversampling_factor: int) -> float:\n",
    "        return 1.\n",
    "\n",
    "    @override\n",
    "    def frame_duration(self, bandwidth: float) -> float:\n",
    "        return self.num_data_symbols / bandwidth\n",
    "\n",
    "    @property\n",
    "    @override\n",
    "    def power(self) -> float:\n",
    "        return 1.\n",
    "\n",
    "    @override\n",
    "    def map(self, data_bits: np.ndarray) -> Symbols:\n",
    "        symbols_candidates = np.arange(1, 1 + self.modulation_order, dtype=complex) / (self.modulation_order)\n",
    "        symbol_indices = np.packbits(data_bits.reshape((-1, int(np.log2(self.modulation_order)))), axis=1, bitorder='little').flatten()\n",
    "\n",
    "        return Symbols(symbols_candidates[symbol_indices])\n",
    "\n",
    "    @override\n",
    "    def unmap(self, symbols: Symbols) -> np.ndarray:\n",
    "        symbol_index_estimates = np.round(abs(symbols.raw.flatten()) * self.modulation_order - 1).astype(np.uint8)\n",
    "        bits = np.unpackbits(symbol_index_estimates[:, np.newaxis], axis=1, bitorder='little')[:, :int(np.log2(self.modulation_order))]\n",
    "        \n",
    "        return bits.flatten()\n",
    "    \n",
    "    @override\n",
    "    def place(self, symbols: Symbols) -> Symbols:\n",
    "        return symbols\n",
    "\n",
    "    @override\n",
    "    def pick(self, placed_symbols: StatedSymbols) -> StatedSymbols:\n",
    "        return placed_symbols\n",
    "\n",
    "    @override\n",
    "    def modulate(self, data_symbols: Symbols, bandwidth: float, oversampling_factor: int) -> np.ndarray:\n",
    "        baseband_samples = np.repeat(data_symbols.raw.flatten(), oversampling_factor)\n",
    "        return baseband_samples\n",
    "\n",
    "    @override\n",
    "    def demodulate(self, signal: np.ndarray, bandwidth: float, oversampling_factor: int) -> Symbols:\n",
    "        symbols = Symbols(signal[::oversampling_factor])\n",
    "        return symbols"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c6f60ca",
   "metadata": {},
   "source": [
    "This waveform implementation can already be assigned to a modem. Let's explain each implemented abstract function step by step:\n",
    "\n",
    "*num_data_symbols* - Number of information-carrying symbols per data frame.\n",
    "\n",
    "*samples_per_frame* - indicates the number of required complex base-band samples at optimal sampling rate to demodulate a single frame generated by our waveform implementation.\n",
    "\n",
    "*symbol_energy* - Expected (mean) energy of a single communication symbol after modulation.\n",
    "\n",
    "*power* - Expected in-band power of the generated base-band signal.\n",
    "\n",
    "*map* - Convert a sequence of data bits to complex-valued communication symbols.\n",
    "\n",
    "*unmap* - Convert a sequence of complex-valued communication symbols to data bits.\n",
    "\n",
    "*place* - Place a sequuence of complex-valued communication symbols into a frame.\n",
    "\n",
    "*pick* - Pick a sequence of complex-valued communication symbols from a frame.\n",
    "\n",
    "*modulate* - Convert a sequence of complex-valued symbols to a baseband signal.\n",
    "\n",
    "*modulate* - Convert a baseband signal to a sequence of complex-valued symbols.\n",
    "\n",
    "We can now instantiate our newly defined communication waveform and inspect the mapping and modulation routines:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "930c08fd",
   "metadata": {},
   "outputs": [
    {
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4uNjtVvrzb5+XZJo3b+563sLCQrNz585y63Khn6GK6qTRfLkF/PsBAB8zceJEzZ07V23atCl3FxgAoHIIQoCP2rlzp06cOKH+/ft7uhQA8FlcIwT4kJCQEN1999369a9/rRtuuEF33323p0sCAJ/GO0KAD2ndurUOHTqknJwc/eUvf9ELL7zg6ZIAwKcRhAAAgLX4HCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFirvqcL8AVXXXWVnE6np8sAAABV4HA4dOzYsYuOIQhdwlVXXaW0tDRPlwEAAKqhZcuWFw1DBKFLKHsnqGXLlj79rpDD4VBaWprPz8MfsBbeISQkRBkZGZKk9u3bKysry8MV2Y3jwnv4y1qUzeNScyAIVZLT6fTpH4gy/jIPf8BaeFZpaanr8alTp1gLL8Fx4T1sWQsulgYAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsJZPBaFbbrlFH330kdLS0mSM0T333HPJffr166ft27ersLBQBw4cUFRUVB1UCgAAfIFPBaHQ0FDt3LlTjz/+eKXGt2nTRv/4xz8UHx+vbt26ad68eVq8eLFuv/32Wq4UAAD4gvqeLqAq1q9fr/Xr11d6/NixY5WamqopU6ZIkpKTk/XLX/5STz75pDZu3FhbZQIAAB/hU0GoqiIjI7Vp0ya3vg0bNmjevHkX3Cc4OFgNGjRwbTscDrf/+ip/mYc/YC28Q0hIiOtxw4YNlZ+f78FqwHHhPfxlLSpbv18HofDwcGVmZrr1ZWZmqnHjxrrssstUWFhYbp/o6GjFxMSU609LS6utMuuUv8zDH7AW3iMlJcXTJeDfOC68hy1r4ddBqDpmzpyp2NhY17bD4VBaWppatmwpp9Ppwcp+Hn+Zhz9gLbxDSEiIMjIyJEnt27dXVlaWhyuyG8eF9/CXtSibx6X4dRDKyMhQWFiYW19YWJhyc3MrfDdIkoqKilRUVFSu3+l0+vQPRBl/mYc/YC08q7S01PX41KlTrIWX4LjwHrashU/dNVZVCQkJGjBggFvfwIEDlZCQ4KGKAACAN/GpIBQaGqquXbuqa9eukqS2bduqa9euuuaaayRJM2bM0LJly1zj33zzTbVr106zZ89Wx44d9dhjj2nkyJGaO3euR+oHAADex/hK69evn6lIXFyckWTi4uJMfHx8uX127NhhCgsLTUpKiomKiqrSazocDmOMMQ6Hw+Pz/znNX+bhD4218I4WEhLi+h0SFhbm8XpsbxwX3tP8ZS0qOw+fukZo8+bNCggIuODXH3rooQr36dGjR22WBQAAfJRPnRoDAACoSQQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGv5XBAaN26cUlNTVVBQoC1btqh3794XHBsVFSVjjFsrKCiow2oBAIA386kgNHLkSMXGxmr69Onq0aOHdu7cqQ0bNqh58+YX3Cc3N1fh4eGu1rp16zqsGAAAeDOfCkJPPfWUFi1apKVLl2rv3r0aO3as8vPzNWbMmAvuY4xRZmamq2VlZdVhxQAAwJvV93QBlRUUFKSePXtq5syZrj5jjDZt2qTIyMgL7tewYUMdOnRIgYGB2rFjh5577jnt2bPnguODg4PVoEED17bD4XD7r6/yl3n4A9bCO4SEhLgeN2zYUPn5+R6sBhwX3sNf1qKy9ftMELriiitUv359ZWZmuvVnZmYqIiKiwn327dunMWPG6LvvvlPjxo01ZcoUff311+rcubPS0tIq3Cc6OloxMTHl+i803tf4yzz8AWvhPVJSUjxdAv6N48J72LIWPhOEqmPLli3asmWLa/vrr7/W3r179eijj+oPf/hDhfvMnDlTsbGxrm2Hw6G0tDS1bNlSTqez1muuLf4yD3/AWniHkJAQZWRkSJLat2/PaXMP47jwHv6yFmXzuBSfCULZ2dkqKSlRWFiYW39YWJjrl9mllJSUKDExUe3bt7/gmKKiIhUVFZXrdzqdPv0DUcZf5uEPWAvPKi0tdT0+deoUa+ElOC68hy1r4TMXSxcXF2v79u0aMGCAqy8gIEADBgxQQkJCpZ4jMDBQXbp0UXp6em2VCQAAfIjPvCMkSbGxsVq2bJm2bdumb775RpMmTVJoaKji4uIkScuWLVNaWpqee+45SdKLL76oLVu2KCUlRU2aNNHTTz+t1q1ba/HixZ6cBgAA8BI+FYRWrVql5s2b66WXXlJ4eLiSkpI0aNAg17n9Vq1a6ezZs67xTZs21aJFixQeHq6cnBxt375dffv21d69ez01BQAA4GUM7cLN4XAYY4xxOBwer4V5+EdjLbyjhYSEmDJhYWEer8f2xnHhPc1f1qKy8/CZa4QAAABqGkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC16ldnpw8++EDGmHL9xhgVFhYqJSVFy5cv1/79+392gQAAALWlWu8I5ebmqn///urRo4eMMTLGqHv37urfv7/q16+vUaNGaefOnerbt29N1wsAAFBjqvWOUEZGhpYvX67x48e73hkKCAjQa6+9JqfTqf/5n//Rm2++qdmzZ+uWW26p0YIBAABqkqlqy8rKMh06dCjX36FDB3P8+HEjyVx//fUmJyenys/tbc3hcBhjjHE4HB6vhXn4R2MtvKOFhISYMmFhYR6vx/bGceE9zV/WorLzqNapsfr16ysiIqJcf0REhOrVqydJKiwsrPA6IgAAAG9RrVNj77zzjpYsWaIZM2bo22+/lST17t1bzz33nN5++21JUr9+/fT999/XXKUAAAA1rFpB6Mknn1RmZqaeeeYZhYWFSZIyMzM1d+5czZ49W5K0ceNGrV+/vuYqBQAAqGHVCkJnz57VjBkzNGPGDDkcDkmS0+l0G/Pjjz/+/OoAAABq0c/+QEWn01kuBAEA6kZAYKCu7dVd3QcP1LW9uisg0Pc+J7decLCGTB4vSRoyebzqBQd7uKLqqRccrGHRT+mRN+dqWPRTPjkPf1mLqqjWO0KSNHz4cI0cOVKtWrVS8HnfqJ49e/7swi5k3LhxevrppxUeHq6dO3dqwoQJruuUKjJixAi9/PLLatOmjQ4cOKBnn31Wn3zySa3VBwB1pcuAfho69Uk1CQ9z9f2Ukam1s+Zq1z83e7Cyyntw3kxd37+fGtQ79+co8jfD1OPeIdr92WYtnRTt4eoqr2weAQEB5zpuvkk33zfCp+bhL2tRVdX6X4cJEyYoLi5OmZmZ6t69u7755hudOHFC7dq1q9WQMXLkSMXGxmr69Onq0aOHdu7cqQ0bNqh58+YVjo+MjNSKFSu0ZMkSde/eXWvXrtXatWvVuXPnWqsRAOpClwH9FBU7U41buP/+a9yiuaJiZ6rLgH4eqqzyyv7wVuT6/v304LyZdVxR9fjDPPxhDtUVoHP30VfJ3r17NX36dK1cuVJ5eXnq2rWrUlNTNX36dDVr1kwTJkyohVKlLVu26Ntvv3U9f0BAgH788UfNnz/fdZH2f1q5cqVCQ0M1ZMgQV19CQoKSkpL02GOPVeo1HQ6H8vLyFB4e7tOnAB0OhzIyMnx+Hv6AtfAOISEhOn78uCSpXbt2yszM9HBFlRcQGKhnP1yhRs2vqPBUmDl7VrlZx/Wnob+VOXvWAxVeWr3gYL38r3M31AQEBCg4sJ7GduqpN/duV9HZUtfHr7x4yyCVFhV5stSLOn8e5/OFefjLWpyv7Hdto0aNLvq7tlpB6PTp0+rUqZOOHDmizMxMDRw4UN99953at2+vLVu26Iorrvg5tVcoKChI+fn5GjFihD788ENX/9KlS9WkSRMNHTq03D6HDx9WbGysXnvtNVdfTEyMhg4dqm7dulX4OsHBwWrQoIFr2+FwKC0trcbmAQAA6s6lglC1To1lZGSoWbNmkqQjR47opptukiS1bdu2wkRcE6644grVr1+/3P+1ZWZmKjw8vMJ9wsPDqzRekqKjo5WXl+dqhCAAAPxXtS6W/uyzz3T33XcrKSlJcXFxmjt3rkaMGKFevXrpgw8+qOka69TMmTMVGxvr2i57R6h9+/Y6deqUByv7eRo2bKiUlBSfn4c/YC28Q0hIiA4ePChJ6tKli+s0mS9o062LHpw765Ljlj45VYeSdtVBRVV358RHdeOwu13bQYGBerhjdy3Zl6ji/zid982aj7Tu9bc8UWKlnD+PC/HmefjLWpyv7HftpVQrCP3+979X4L/PS//lL3/RiRMn1LdvX3300Ud6663a+SZlZ2erpKTE9QGOZcLCwpSRkVHhPhkZGVUaL0lFRUUqquAcaFZWlk9fz5Gfny/J9+fhD1gL7xASEuJ6fPz4cZ+6Rijr0+O6Pe2oGrdofsFrhH7KzNI3n37mtdcIvT19ljoPGSTp39elmHP/PFNBaYnbdSlvT5/l1delnD+P8/nCPPxlLc5X9rv2Uqp1aswYo9LSUtf2+++/ryeeeEILFixQcXFxdZ7ykoqLi7V9+3YNGDDA1RcQEKABAwYoISGhwn0SEhLcxkvSwIEDLzgeAHyBOXtWa2fNlRRQLuic2w7Qh7PneW0IkqTSoiLt/uzcLf7n/7uUZdu7P9vs9X94/WEe/jCHn6Pan7zVoEED9e7dW3fddZeGDBni1mpLbGysHnnkEY0ePVoRERF64403FBoaqri4OEnSsmXLNGPGDNf41157TYMGDdJTTz2ljh07atq0aerVq5cWLFhQazUCQF3Y9c/NWvZUtHKz3E/p/ZSZpWVPRfvE5wgtnRTt+gN8Pl/67Bp/mIc/zOHnqPI/bX/HHXeYzMxMU1paWq6VlJRU+fmq0h5//HFz6NAhU1hYaLZs2WJuvPFG19fi4+NNXFyc2/gRI0aY5ORkU1hYaHbt2mUGDx5cpddzOBzGGGMcDketzqu2m7/Mwx8aa+EdLSQkxJQJCwvzeD3VbQGBgebaXt1N98EDzbW9upuAwECP11TVVi842Pw2JtoYY8xvY6JNveBgj9dU3XkMi37KPPLmXDMs+imfnIe/rIVUpd+1VX/y/fv3mwULFpgWLVp4fKJe9I306uYv8/CHxlp4R/OXIOQvjePCe5q/rEVl51GtU2NhYWGKjY1VVlZWdXYHAADwCtUKQn/9619166231nApAAAAdatat8+PHz9eq1ev1i233KJdu3aVu1Ns/vz5NVIcAABAbapWELrvvvt0++23q7CwULfeeqvb7XbGGIIQAADwCdUKQq+88oqmTZumWbNmlfvMAQAAAF9RrWuEgoOD9f777xOCAACAT6tWEFq2bJlGjRpV07UAAADUqWqdGqtXr56eeeYZ3XHHHfruu+/KXSw9efLkGikOAACgNlUrCHXp0kWJiYmSpOuvv75GCwIAAKgr1QpC/fv3r+k6AAAA6lyVgtDf/va3S44xxmjEiBHVLggAAKCuVCkI5ebm1lYdAAAAda5KQWjMmDG1VQcAAECdq9bt8wAAAP6AIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKzlM0GoadOmevfdd5Wbm6ucnBwtXrxYoaGhF90nPj5exhi39sYbb9RRxQAAwNvV93QBlfXee+/pyiuv1MCBAxUUFKS4uDgtXLhQ999//0X3W7hwof7whz+4tvPz82u7VAAA4CN8IghFRERo8ODB6tWrl7Zv3y5JmjBhgtatW6cpU6YoPT39gvvm5+crMzOzrkoFAAA+xCeCUGRkpHJyclwhSJI2bdqks2fPqk+fPlq7du0F973//vv1wAMPKCMjQx9//LFefvllFRQUXHB8cHCwGjRo4Np2OBxu//VV/jIPf8BaeIeQkBDX44YNG/JusYdxXHgPf1mLytbvE0EoPDxcWVlZbn2lpaU6efKkwsPDL7jf8uXLdfjwYR07dkw33HCDZs+erY4dO2r48OEX3Cc6OloxMTHl+tPS0qpdvzfxl3n4A9bCe6SkpHi6BPwbx4X3sGUtPBqEZs6cqalTp150TERERLWff9GiRa7Hu3fvVnp6uj777DO1a9dOBw8evGBNsbGxrm2Hw6G0tDS1bNlSTqez2rV4mr/Mwx+wFt4hJCREGRkZkqT27duX+58t1C2OC+/hL2tRNo9L8WgQmjNnjpYuXXrRMQcPHlRGRoZatGjh1l+vXj01a9bM9YusMrZu3Srp3C+9CwWhoqIiFRUVlet3Op0+/QNRxl/m4Q9YC88qLS11PT516hRr4SU4LryHLWvh0SCUnZ2t7OzsS45LSEhQ06ZN1aNHD+3YsUOS1L9/fwUGBrrCTWV069ZNki56cTUAALCHT3yOUHJysj755BMtWrRIvXv3Vt++fbVgwQKtXLnSFWquuuoq7d27V71795YktWvXTi+88IJ69Oih1q1ba8iQIXr77be1efNm7dq1y5PTAQAAXsIngpB07u6v5ORk/fOf/9S6dev05Zdf6ve//73r60FBQYqIiHDdCVJUVKTbbrtNGzduVHJysubMmaO//e1vGjJkiKemAAAAvIxP3DUmSTk5ORf98MTDhw8rICDAtX306FHdeuutdVAZAADwVT7zjhAAAEBNIwgBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWMtngtBzzz2nr776SqdPn1ZOTk6l95s+fbqOHTum/Px8ffrpp2rfvn0tVgkAAHyJzwSh4OBgrV69Wm+88Ual93nmmWc0ceJEjR07Vn369NHp06e1YcMGNWjQoBYrBQAAvsT4UouKijI5OTmVGnvs2DEzefJk13ajRo1MQUGBGTVqVKVfz+FwGGOMcTgcHp/7z2n+Mg9/aKyFd7SQkBBTJiwszOP12N44Lryn+ctaVHYe9eWn2rZtqyuvvFKbNm1y9eXl5Wnr1q2KjIzU+++/X+F+wcHBbu8YORwOt//6Kn+Zhz9gLbxDSEiI63HDhg2Vn5/vwWrAceE9/GUtKlu/3wah8PBwSVJmZqZbf2ZmputrFYmOjlZMTEy5/rS0tBqtz1P8ZR7+gLXwHikpKZ4uAf/GceE9bFkLjwahmTNnaurUqRcdExERoX379tVRRedqio2NdW07HA6lpaWpZcuWcjqddVZHTfOXefgD1sI7hISEKCMjQ5LUvn17ZWVlebgiu3FceA9/WYuyeVyKR4PQnDlztHTp0ouOOXjwYLWeu+wXXFhYmOtx2XZSUtIF9ysqKlJRUVG5fqfT6dM/EGX8ZR7+gLXwrNLSUtfjU6dOsRZeguPCe9iyFh4NQtnZ2crOzq6V505NTVV6eroGDBignTt3SjqXDvv06VOlO88AAID/8pnb56+55hp17dpVrVq1Ur169dS1a1d17dpVoaGhrjF79+7V0KFDXdvz5s3TCy+8oCFDhuj666/X22+/rWPHjmnt2rV1PwEAAOB1fOZi6ZdeekkPPviga7vs9Natt96qzZs3Szp3PVHjxo1dY/70pz8pNDRUCxcuVJMmTfTll19q0KBBOnPmTF2WDgAAvJjH7/X35mbb5ynQWAtbGp8j5F2N48J7mr+sRWXn4TOnxgAAAGoaQQgAAFiLIAQAAKxFEAIAANYiCAEAAGsRhAAAgLUIQgAAwFoEIQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBAABrEYQAAIC1CEIAAMBaBCEAAGAtghAAALAWQQgAAFiLIAQAAKxFEAIAANYiCAEAAGvV93QBvsLhcHi6hJ+lrH5fn4c/YC28Q0hIiOtxw4YNlZ+f78FqwHHhPfxlLSpbf4AkU7ul+LarrrpKaWlpni4DAABUQ8uWLXXs2LELfp0gVAlXXXWVnE6np8v4WRwOh9LS0tSyZUufn4uvYy28B2vhPVgL7+FPa+FwOC4agiROjVXKpb6JvsTpdPr8D7a/YC28B2vhPVgL7+EPa1GZ+rlYGgAAWIsgBAAArEUQssSZM2cUExOjM2fOeLoU67EW3oO18B6shfewbS24WBoAAFiLd4QAAIC1CEIAAMBaBCEAAGAtghAAALAWQchPPffcc/rqq690+vRp5eTkVHq/6dOn69ixY8rPz9enn36q9u3b12KVdmjatKneffdd5ebmKicnR4sXL1ZoaOhF94mPj5cxxq298cYbdVSxfxk3bpxSU1NVUFCgLVu2qHfv3hcdP2LECO3du1cFBQX67rvvNHjw4Dqq1P9VZS2ioqLKHQMFBQV1WK3/uuWWW/TRRx8pLS1Nxhjdc889l9ynX79+2r59uwoLC3XgwAFFRUXVQaV1x9D8r8XExJhJkyaZV1991eTk5FRqn2eeecbk5OSYu+++23Tp0sWsXbvW/PDDD6ZBgwYen48vt3Xr1pnExERz4403mptvvtns37/fvPfeexfdJz4+3rz11lsmLCzM1RwOh8fn4mtt5MiRprCw0Dz44IOmU6dO5q233jInT540zZs3r3B8ZGSkKS4uNlOmTDERERHmpZdeMmfOnDGdO3f2+Fx8vVV1LaKiosxPP/3kdgy0aNHC4/PwhzZo0CDz8ssvm6FDhxpjjLnnnnsuOr5Nmzbm1KlT5tVXXzURERHm8ccfN8XFxeb222/3+FxqqHm8AFottqioqEoHoWPHjpnJkye7ths1amQKCgrMqFGjPD4PX20RERHGGGN69uzp6rvjjjtMaWmpufLKKy+4X3x8vJk7d67H6/f1tmXLFjN//nzXdkBAgDl69Kh59tlnKxy/cuVK8/HHH7v1JSQkmDfeeMPjc/H1VtW1qMrvLlr1W2WC0KxZs8yuXbvc+lasWGE++eQTj9dfE41TY5AktW3bVldeeaU2bdrk6svLy9PWrVsVGRnpwcp8W2RkpHJycrR9+3ZX36ZNm3T27Fn16dPnovvef//9On78uHbt2qUZM2bo8ssvr+1y/UpQUJB69uzp9jNtjNGmTZsu+DMdGRnpNl6SNmzYwDHwM1VnLSSpYcOGOnTokI4cOaK1a9fquuuuq4tycR5/Py74R1chSQoPD5ckZWZmuvVnZma6voaqCw8PV1ZWlltfaWmpTp48edHv6/Lly3X48GEdO3ZMN9xwg2bPnq2OHTtq+PDhtV2y37jiiitUv379Cn+mIyIiKtwnPDycY6AWVGct9u3bpzFjxui7775T48aNNWXKFH399dfq3Lmz0tLS6qJs/NuFjovGjRvrsssuU2FhoYcqqxm8I+RDZs6cWe7iwfNbx44dPV2mFWp7LRYtWqSNGzdq9+7dWr58uUaPHq17771X7dq1q8FZAN5ry5Yteuedd7Rz50598cUXuvfee3X8+HE9+uijni4NfoZ3hHzInDlztHTp0ouOOXjwYLWeOyMjQ5IUFhbmely2nZSUVK3n9GeVXYuMjAy1aNHCrb9evXpq1qyZ2/f5UrZu3SpJat++fbXX2DbZ2dkqKSlRWFiYW//5P+P/KSMjo0rjUTnVWYvzlZSUKDExkTtZPeBCx0Vubq7PvxskEYR8SnZ2trKzs2vluVNTU5Wenq4BAwZo586dkiSHw6E+ffpw23YFKrsWCQkJatq0qXr06KEdO3ZIkvr376/AwEBXuKmMbt26SZLS09OrVa+NiouLtX37dg0YMEAffvihJCkgIEADBgzQggULKtwnISFBAwYM0GuvvebqGzhwoBISEuqkZn9VnbU4X2BgoLp06aJ169bVZqmoQEJCgu688063Pn87Ljx+xTat5ts111xjunbtal588UWTl5dnunbtarp27WpCQ0NdY/bu3WuGDh3q2n7mmWfMyZMnzZAhQ8z1119v1qxZw+3zNdDWrVtntm/fbnr37m369u1r9u3b53b7/FVXXWX27t1revfubSSZdu3amRdeeMH06NHDtG7d2gwZMsSkpKSYzz//3ONz8bU2cuRIU1BQYEaPHm0iIiLMm2++aU6ePOm6DXvZsmVmxowZrvGRkZGmqKjIPPXUU6Zjx45m2rRp3D7vobV48cUXzcCBA03btm1N9+7dzfLly01+fr7p1KmTx+fi6y00NNT1N8EYYyZNmmS6du1qrrnmGiPJzJgxwyxbtsw1vuz2+dmzZ5uOHTuaxx57jNvnad7f4uLiTEX69evnGmOMMVFRUW77TZ8+3aSnp5uCggLz6aefmg4dOnh8Lr7emjZtat577z2Tl5dnfvrpJ7NkyRK3QNq6dWu3tbn66qvN559/brKzs01BQYHZv3+/mT17Np8jVM32+OOPm0OHDpnCwkKzZcsWc+ONN7q+Fh8fb+Li4tzGjxgxwiQnJ5vCwkKza9cuM3jwYI/PwV9aVdYiNjbWNTY9Pd38/e9/N926dfP4HPyh9evXr8K/D2Xf/7i4OBMfH19unx07dpjCwkKTkpJS7m+HL7eAfz8AAACwDneNAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABYiyAEAACsRRACAADWIggBQCXFxcVpzZo1ni4DQA0iCAHwC3FxcTLGyBijoqIiHTx4ULNnz1aDBg08XRoAL8a/Pg/Ab3zyySd66KGHFBQUpJ49e2rZsmUyxmjq1KmeLg2Al+IdIQB+48yZM8rMzNTRo0f14YcfatOmTRo4cKAkKSAgQFOnTtXBgweVn5+vpKQkDR8+3LVvYGCgFi9e7Pp6cnKyJk6c6KmpAKgjvCMEwC917txZffv21eHDhyVJ0dHReuCBBzR27FgdOHBAv/rVr/Tuu+/q+PHj+uKLLxQYGKijR4/qN7/5jU6cOKG+fftq4cKFSk9P1+rVqz08GwC1ySP/7D2NRqPVZIuLizPFxcXG6XSagoICY4wxJSUl5t577zXBwcHm1KlT5qabbnLbZ9GiRea999674HPOnz/frF692u011qxZ4/G50mi0mmu8IwTAb8THx+uxxx5TaGionnzySZWUlOiDDz7Qddddp9DQUH366adu44ODg5WYmOjaHjdunMaMGaNWrVrp8ssvV3BwsJKSkup4FgDqEkEIgN84ffq0fvjhB0nSmDFjtHPnTo0ZM0a7d++WJN11111KS0tz2+fMmTOSpFGjRunVV1/V5MmTlZCQIKfTqaefflp9+vSp20kAqFMEIQB+yRijGTNmKDY2Vr/4xS9UWFioVq1a6Ysvvqhw/M0336yvv/5ab7zxhqvv2muvratyAXgId40B8FurV69WaWmpHn30Ub366quaO3euRo8erXbt2ql79+4aP368Ro8eLUk6cOCAevXqpdtvv10dOnTQSy+9pN69e3t4BgBqG+8IAfBbpaWlWrBggZ555hm1bdtWx48fV3R0tNq1a6effvpJO3bs0IwZMyRJb731lrp37673339fxhitWLFCf/nLXzR48GAPzwJAbQrQuaumAQAArMOpMQAAYC2CEAAAsBZBCAAAWIsgBAAArEUQAgAA1iIIAQAAaxGEAACAtQhCAADAWgQhAABgLYIQAACwFkEIAABY6/8BFH+UpL4qmPYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create pseudo-random number generator\n",
    "rng = np.random.default_rng(42)\n",
    "\n",
    "# Instantiante waveform\n",
    "ask = AmplitudeShiftKeying(modulation_order=4)\n",
    "\n",
    "# Generate a frame of data symbols from a set of random bits\n",
    "data_bits = rng.integers(0, 2, ask.bits_per_frame(ask.num_data_symbols))\n",
    "mapped_symbols = ask.map(data_bits)\n",
    "_ = mapped_symbols.plot_constellation()\n",
    "\n",
    "# Generate the base-band representation of a single communication frame\n",
    "bandwidth, oversampling_factor = 1e3, 8\n",
    "baseband_transmission = ask.modulate(ask.place(mapped_symbols), bandwidth, oversampling_factor)\n",
    "_ = Signal.Create(baseband_transmission[None, :], bandwidth*oversampling_factor).plot()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0be0284",
   "metadata": {},
   "source": [
    "We can now model the effects of hardware noise by adding a normally distributed noise signal to the baseband signal and observe the effects on the demodulated symbol constellation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3440a884",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Transmitted data bits: [0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 1 0]\n",
      "Received data bits: [0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 1 0]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Generate additive white gaussian noise\n",
    "noise = rng.normal(0, .02, ask.samples_per_frame(bandwidth, oversampling_factor))\n",
    "\n",
    "# Compute the baseband signal received over an AWGN channel\n",
    "baseband_reception = baseband_transmission + noise\n",
    "_ = Signal.Create(baseband_reception[None, :], bandwidth*oversampling_factor).plot()\n",
    "\n",
    "# Demodulate the received signal\n",
    "received_symbols = ask.demodulate(baseband_reception, bandwidth, oversampling_factor)\n",
    "_ = received_symbols.plot_constellation()\n",
    "\n",
    "bits = ask.unmap(received_symbols)\n",
    "print(f'Transmitted data bits: {data_bits}')\n",
    "print(f'Received data bits: {data_bits}')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "b566b905",
   "metadata": {},
   "source": [
    "\n",
    "Now, the newly added waveform is available to be configured to modems and used within the context of a simulation campaign:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4b1f6f00",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from hermespy.modem import BitErrorEvaluator, DuplexModem\n",
    "from hermespy.simulation import Simulation\n",
    "\n",
    "simulation = Simulation(console_mode=ConsoleMode.SILENT)\n",
    "device = simulation.new_device(oversampling_factor=oversampling_factor, bandwidth=bandwidth)\n",
    "\n",
    "modem = DuplexModem(waveform=ask)\n",
    "device.add_dsp(modem)\n",
    "\n",
    "simulation.new_dimension('noise_level', dB(range(-100, 10, 10)), device)\n",
    "simulation.add_evaluator(BitErrorEvaluator(modem, modem))\n",
    "simulation.num_samples = 10000\n",
    "result = simulation.run()\n",
    "\n",
    "_ = result.plot()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "hermes-312",
   "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": "3.12.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}