{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9aef28b0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "412e054c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def modulate_qpsk(m):\n",
    "    ampl = np.sqrt(2)\n",
    "    sym = {\n",
    "        0: ampl * (-1 -1j)/np.sqrt(2),\n",
    "        1: ampl * ( 1 -1j)/np.sqrt(2),\n",
    "        2: ampl * (-1 +1j)/np.sqrt(2),\n",
    "        3: ampl * ( 1 +1j)/np.sqrt(2)\n",
    "    }\n",
    "\n",
    "    return map(lambda k: sym[k], m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c340fb0f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<map at 0x7fb7d4904a60>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "modulate_qpsk([0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b4881afe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0x1f'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hex(31)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2c43411f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0b1010101'"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bin(0x55)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f65a2e47",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.7071067811865475+0.7071067811865475j)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a=(1 +1j)/np.sqrt(2)\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3c15cd13",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-9.486832980505138-9.486832980505138j)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "-3/np.sqrt(0.1)-3j/np.sqrt(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cb3fdfcc",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "01626f53",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(-0.9486832980505138-0.31622776601683794j),\n",
       " (-0.9486832980505138-0.31622776601683794j)]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(modulate_16qam([1, 1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "df5b6858",
   "metadata": {},
   "outputs": [],
   "source": [
    "def modulate_16qam_2(m):\n",
    "    sym = {\n",
    "         0:  1 -1j,\n",
    "         1: -1 -1j,\n",
    "         2:  3 -3j,\n",
    "         3: -3 -3j,\n",
    "         4: -3 -1j,\n",
    "         5:  3 -1j,\n",
    "         6: -1 -3j,\n",
    "         7:  1 -3j,\n",
    "         8: -3 +3j,\n",
    "         9:  3 +3j,\n",
    "        10: -1 +1j,\n",
    "        11:  1 +1j,\n",
    "        12:  1 +3j,\n",
    "        13: -1 +3j,\n",
    "        14:  3 +1j,\n",
    "        15: -3 +1j,\n",
    "       \n",
    "    }\n",
    "    return map(lambda k: sym[k]*np.sqrt(0.1), m)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f263ed95",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(-0.9486832980505138-0.9486832980505138j),\n",
       " (0.9486832980505138+0.9486832980505138j)]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(modulate_16qam_2([3,9]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "27855d88",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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