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authorNao Pross <np@0hm.ch>2021-12-09 17:14:00 +0100
committerNao Pross <np@0hm.ch>2021-12-09 17:14:00 +0100
commitf4e87c40a5471d78777f8e2c087d814becd9d2a3 (patch)
tree51acd2c936ffb8e53831dec0e37dbbc6f2717504
parentCorrect typos in doc (diff)
downloadFading-f4e87c40a5471d78777f8e2c087d814becd9d2a3.tar.gz
Fading-f4e87c40a5471d78777f8e2c087d814becd9d2a3.zip
Fix error in QPSK symbols computation
-rw-r--r--notebooks/FrameSynchronization.ipynb84
1 files changed, 57 insertions, 27 deletions
diff --git a/notebooks/FrameSynchronization.ipynb b/notebooks/FrameSynchronization.ipynb
index 27e615c..b9e3871 100644
--- a/notebooks/FrameSynchronization.ipynb
+++ b/notebooks/FrameSynchronization.ipynb
@@ -59,35 +59,35 @@
]
},
{
+ "cell_type": "markdown",
+ "id": "d328e765-e977-4de9-9694-35012193a0aa",
+ "metadata": {},
+ "source": [
+ "### Symbols for QPSK"
+ ]
+ },
+ {
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": 9,
"id": "515891a9-dbd2-4088-9a41-b792d878f0fc",
"metadata": {},
"outputs": [],
"source": [
"def modulate_qpsk(m):\n",
- " ampl = np.sqrt(2)\n",
+ " ampl = 1\n",
" sym = {\n",
- " 0: ampl * (-1 -1j),\n",
- " 1: ampl * ( 1 -1j),\n",
- " 2: ampl * (-1 +1j),\n",
- " 3: ampl * ( 1 +1j)\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": "markdown",
- "id": "d328e765-e977-4de9-9694-35012193a0aa",
- "metadata": {},
- "source": [
- "### Symbols for QPSK"
- ]
- },
- {
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": 10,
"id": "3a4c834f-7012-4e22-b9f3-865527d09c02",
"metadata": {},
"outputs": [
@@ -96,10 +96,10 @@
"output_type": "stream",
"text": [
"Modulate chunks [0, 1, 3, 3, 0, 3, 1, 1] with QPSK into 8 symbols:\n",
- "[(-1.4142135623730951-1.4142135623730951j), (1.4142135623730951-1.4142135623730951j), (1.4142135623730951+1.4142135623730951j), (1.4142135623730951+1.4142135623730951j), (-1.4142135623730951-1.4142135623730951j), (1.4142135623730951+1.4142135623730951j), (1.4142135623730951-1.4142135623730951j), (1.4142135623730951-1.4142135623730951j)]\n",
+ "[(-0.7071067811865475-0.7071067811865475j), (0.7071067811865475-0.7071067811865475j), (0.7071067811865475+0.7071067811865475j), (0.7071067811865475+0.7071067811865475j), (-0.7071067811865475-0.7071067811865475j), (0.7071067811865475+0.7071067811865475j), (0.7071067811865475-0.7071067811865475j), (0.7071067811865475-0.7071067811865475j)]\n",
"\n",
"Reversed complex conjugate list for FIR filter:\n",
- "[(1.4142135623730951+1.4142135623730951j), (1.4142135623730951+1.4142135623730951j), (1.4142135623730951-1.4142135623730951j), (-1.4142135623730951+1.4142135623730951j), (1.4142135623730951-1.4142135623730951j), (1.4142135623730951-1.4142135623730951j), (1.4142135623730951+1.4142135623730951j), (-1.4142135623730951+1.4142135623730951j)]\n"
+ "[(0.7071067811865475+0.7071067811865475j), (0.7071067811865475+0.7071067811865475j), (0.7071067811865475-0.7071067811865475j), (-0.7071067811865475+0.7071067811865475j), (0.7071067811865475-0.7071067811865475j), (0.7071067811865475-0.7071067811865475j), (0.7071067811865475+0.7071067811865475j), (-0.7071067811865475+0.7071067811865475j)]\n"
]
}
],
@@ -121,7 +121,7 @@
"outputs": [
{
"data": {
- "image/png": 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"text/plain": [
"<Figure size 1440x288 with 2 Axes>"
]
@@ -154,7 +154,7 @@
"outputs": [
{
"data": {
- "image/png": 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GPSQACUCRCACAMkBLGQCgO6JkswmjBql/7576/XOrSTgDQJEIAIBSRksZAOBgRMlmx44crL7h3wsSzgBQJAIAoMTQUgYAyNUrrVvVp2cPjTtsgPr36RluI+EMqHQUiQAAKBGrNuzQx274q1q2pLSU9e2le754qo4dSUtZJTOzfpKelNRXwfXdH9z9SjMbJukuSeMkrZR0kbtvjGucAJJjRcs2HT1ioHr17KGqIf00sE9PEs4AUCQCACDp5i1q1v/32/1bys47cYx+eOFUWsoQ2S3pg+6+zcx6S3rKzB6Q9BFJj7r7NWZ2haQrJH0tzoECSIYo2UySzEzHjhpMwhkAikQAACQRLWXoDnd3SdGru97hP5dUJ+m0cPutkh4XRSKg4qUmm0UmjBxEwhkAikQAACQJLWU4WGbWU9Jzko6VdL27P2Nmo9y9WZLcvdnMRma47yxJsyRp7NixxRoygJikJptFJowaTMIZAIpEAAAkAS1lyJW7t0uqMbOhku4xs8nduO9sSbMlqba21gszQgBJkZpsFjk2LBiRcAZUNopEAADEhJYyFIK7bzKzxyWdLanFzMaEs4jGSKKXBMB+yWaRCaMGh7eRcAZUMopEAAAUGS1lyDczGyFpb1gg6i/pDEk/kDRX0mWSrgk/zolvlACSIjXZLELCGQCJIhEAAEVDSxkKaIykW8N1iXpIutvd7zOzpyXdbWaflfSmpAvjHCSAZEhNNouQcAZAokgEAEBB0VKGYnD3FyVNS7N9vaTTiz8iAEmVLtksQsIZAIpEAAAUwKoNO3ThDU9rzZZd+7bRUgYAiFu6ZLMICWcAKBIBAJBHtJQBAJIsXbJZhIQzABSJAADIES1lAIBSkS7ZLELCGQCKRAAAHKR0LWWD+vZSPS1lAICESpdsFiHhDABFIgAAuildS9m5J47Rj2gpAwAkXLpkswgJZwAoEgEAkIW97R36j/rF+t2z+7eU/dfHTtRFtJQBAErAjj1tWr0xfbJZJEg4W1vEUQFIkrwUiczsZknnSWp198lpbjdJ10qaIWmHpE+7+/Od9wMAIGloKQMAlItXW7fLPX2yWSRKONu4fY8OJeEMqDj5mkl0i6TrJN2W4fZzJI0P/50s6ZfhRwAAEomWMgBAuekq2SwSJZy9QsIZUJHyUiRy9yfNbFwXu9RJus3dXdJ8MxtqZmPcvTkfxwcAIB/2tnfoW3MW686/0VIGACg/y1u3ZUw2i0QJZ8tJOAMqUrHWJKqWlHrFvTrc9rYikZnNkjRLksaOHVuUwQEAKlvmlrJ3d/luKwAApWR5y9aMyWaRKOFsOQlnQEUqVpHI0mzzdDu6+2xJsyWptrY27T4AAOQDLWUAgErSVbJZhIQzoLIVq0i0WlLqPP3DJTUV6dgAAOxDSxkAoBJlk2wWIeEMqFzFKhLNlXS5mf1OwYLVm1mPCABQTLSUAQAqWTbJZhESzoDKlZcikZndKek0ScPNbLWkKyX1liR3v0HSPEkzJK2QtEPSZ/JxXAAADoSWMgAAsks2i5BwBlSufKWbXXKA213SF/NxLAAADoSWMgAA9pdNslmEhDOgchWr3QwAgIKjpQwAgPSySTaLkHAGVC6KRACAkvfAomb9Y+eWsilj9KOLaCkDAEDKLtksQsIZULkoEgEASlLGlrKPnqiL3klLGQAAke4km0VIOAMqE0UiAEBJWbVhhy668Wk1b6alDACAbHQn2SxCwhlQmSgSAQBKAi1lAAAcnO4km0VIOAMqE0UiAEBi0VIGAEDuupNsFiHhDKhMFIkAAImzeuMOXXTD02pKaSkb0Ken5nzxVI0fRUsZAADd0Z1kswgJZ0BlokgEAEgMWsoAAMi/7iSbRUg4AyoTRSIAQKxoKQMAoHAOJtksQsIZUHkoEgEAYkFLGQAAhRclm40fmX2yWWT8qEEknAEVhiIRAKCoHlzcrC/cTksZAADFECWbHcwbMNF9SDgDKgdFIgBAwQUtZUt059/e3G/7Dz46RR9/59iYRgUAQPlb3rpNvXtat5LNIiScAZWHIhEAoGBoKQOKw8yOkHSbpNGSOiTNdvdrzewqSZ+TFC0q8g13nxfPKAHEYXnLVh09fFC3ks0iJJwBlYciEQAg72gpA4quTdJX3P15Mxss6TkzeyS87Sfu/sMYxwYgRgeTbBYh4QyoPBSJAAB5QUsZEB93b5bUHH6+1cyWSqqOd1QA4pZLslmEhDOgslAkAgDkhJYyIFnMbJykaZKekXSqpMvN7FOSFiiYbbQxzX1mSZolSWPHUtQFykUuyWYREs6AykKRCABwUGgpA5LHzAZJ+l9JX3b3LWb2S0nfluThxx9J+vvO93P32ZJmS1Jtba0Xb8QACimXZLMICWdAZaFIBADIGi1lQHKZWW8FBaLfuvsfJcndW1Ju/5Wk+2IaHoAY5JJsFiHhDKgsFIkAAAdESxmQbGZmkn4taam7/zhl+5hwvSJJ+rCkxXGMD0A8ckk2i5BwBlQWikQAgIzStZSdM3m0fvLxGlrKgGQ5VdInJS0ys4Zw2zckXWJmNQrazVZK+nwcgwMQj1ySzSIknAGVhSIRAGA/mVrKrvnIFF08nZYyIInc/SlJluamecUeC4BkyEeyWYSEM6ByUCQCAEiipQwAgHKSj2SzCAlnQOWgSAQAFe7BxWv0hduf228bLWUAAJS2fCSbRUg4AyoHRSIAqEBt7R361twluuMZWsoAAChH+Ug2i5BwBlQOikQAUEFWb9yhj984X42bdu7b1r93T825/NR9F4AAAKD05SPZLELCGVA5KBIBQAWgpQwAgMqSj2SzCAlnQOXIS5HIzM6WdK2knpJucvdrOt1+mqQ5kl4PN/3R3a/Ox7EBAOnRUgYAQGXKZ7JZhIQzoDLkXCQys56Srpd0pqTVkp41s7nu/lKnXf/i7uflejwAQNdoKQMAoLLlM9ksQsIZUBnyMZNouqQV7v6aJJnZ7yTVSepcJAIAFBAtZQAAQMpvslmEhDOgMuSjSFQtaVXK16slnZxmv1PM7AVJTZL+zd2XpHswM5slaZYkjR1LOwQAdIWWMgAA0Fk+k80iJJwBlSEfRSJLs807ff28pCPdfZuZzZBUL2l8ugdz99mSZktSbW1t58cBAIiWMgAAkFk+k80iJJwBlSEfRaLVklJXRDtcwWyhfdx9S8rn88zsF2Y23N3X5eH4AFAxaCkDAAAHks9kswgJZ0BlyEeR6FlJ483sKEmNki6WdGnqDmY2WlKLu7uZTZfUQ9L6PBwbAMoeLWUAACBbhUg2i5BwBpS/nItE7t5mZpdLekhST0k3u/sSM/tCePsNkj4m6R/NrE3STkkXuzutZADQBVrKAABAdxUi2SxCwhlQ/vIxk0juPk/SvE7bbkj5/DpJ1+XjWABQ7mgpAwAAB6sQyWYREs6A8peXIhEAIDdt7R26cu4S/bZTS9n3PzJFl9BSBgAAslSIZLMICWdA+aNIBAAxaty0Uxfd8PR+LWX9evfQ3MvfQ0sZAADotkIkm0VIOAPKH0UiAIhBupaysycFLWX9+9BSBgAADk4hks0iJJwB5Y8iEQAUCS1lAACgkAqZbBYh4QwobxSJAKDAaCkDAADFUMhkswgJZ0B5o0gEAAXy0JI1+vz/0FIGAACKY3lr4ZLNIuNTFq+eftSwgh0HQDwoEgFAHtFSBgAA4vJKS+GSzSLRLOhXWrZSJALKEEUiAMgDWsoAAEDcCplsFiHhDChvFIkAIAe0lAEAgKRY3rpNJx4+pKDHiBLOlreScAaUI4pEANBNbe0duureJbp9Pi1lAAAgGXbuadeqjTv0sXccXvBjkXAGlC+KRACQJVrKAABAUq1o3VbwZLMICWdA+aJIBAAHQEsZAABIumIkm0VIOAPKF0UiAEiDljIApcTMjpB0m6TRkjokzXb3a81smKS7JI2TtFLSRe6+Ma5xAiicYiSbRUg4A8oXRSIASNG4aac+fuPTWr3xrZayvr2ClrLjRtNSBiCx2iR9xd2fN7PBkp4zs0ckfVrSo+5+jZldIekKSV+LcZwACqQYyWYREs6A8kWRCAAkPbxkjWZ1aik7a9Io/fTj02gpA5B47t4sqTn8fKuZLZVULalO0mnhbrdKelwUiYCyVIxkswgJZ0D5okgEoGJlain73oen6NKTaSkDUJrMbJykaZKekTQqLCDJ3ZvNbGSG+8ySNEuSxo7l9x9QaqJks4+eVPhks8j4kYP0OAlnQNmhSASg4tBSBqBcmdkgSf8r6cvuvsXMsrqfu8+WNFuSamtrvXAjBFAIUbLZhFGFTzaLTBg1SH8g4QwoOxSJAFQMWsoAlDMz662gQPRbd/9juLnFzMaEs4jGSGqNb4QACqWYyWYREs6A8kSRCEBZo6UMQCWwYMrQryUtdfcfp9w0V9Jlkq4JP86JYXgACixKNjuyCMlmkfEjB4XHJuEMKCcUiQCUJVrKAFSYUyV9UtIiM2sIt31DQXHobjP7rKQ3JV0Yz/AAFFKUbNa7CMlmkeqh/Uk4A8oQRSIAZYWWMgCVyN2fkpRpAaLTizkWAMVXzGSzCAlnQHmiSASg5NFSBgAAKlUcyWYREs6A8kORCEDJStdS1qdXD91LSxkAAKgQcSSbRUg4A8oPRSIAJYeWMgAAgEAcyWYREs6A8kORCEBJoKUMAADg7eJINouQcAaUH4pEABKtadNOfXz201q1gZYyAACAzuJINouQcAaUn7wUiczsbEnXSuop6SZ3v6bT7RbePkPSDkmfdvfn83FsAOUpXUvZhyaO0rUX01IGAAAQiSPZLELCGVB+ci4SmVlPSddLOlPSaknPmtlcd38pZbdzJI0P/50s6ZfhRwDYp629Q/9570v6n/lv7Lf9ux+erE+cfGRMowIAAEimOJPNIiScAeUlHzOJpkta4e6vSZKZ/U5SnaTUIlGdpNvc3SXNN7OhZjbG3ZvzcHwAJY6WMgAAgO6LM9ksQsIZUF7yUSSqlrQq5evVevssoXT7VEt6W5HIzGZJmiVJY8eyGC1QzmgpAwAAOHhxJptFSDgDyks+ikSWZpsfxD7BRvfZkmZLUm1tbdp9AJSutvYOXX3fS7rtaVrKAAAAchFnslmEhDOgvOSjSLRa0hEpXx8uqekg9gFQxmgpAwAAyK84k80iJJwB5SUfRaJnJY03s6MkNUq6WNKlnfaZK+nycL2ikyVtZj0ioDJkain76cU1GtAnLwGLAAAAFSnOZLMICWdAecn5FZq7t5nZ5ZIektRT0s3uvsTMvhDefoOkeZJmSFohaYekz+R6XADJRUsZAABAYSUh2SxCwhlQPvLyNr67z1NQCErddkPK5y7pi/k4FoDkoqUMAACgOJKQbBYh4QwoH/R6AMhZupayMyeO0rW0lAEAABREEpLNIiScAeWDV28ADkqmlrLvzJysv3sXLWUAAACFlIRkswgJZ0D5oEgEoFtoKQMAAIhfEpLNIiScAeWDIhGArPzppRb9w20L9ttGSxkAAEA8kpBsFiHhDCgfvLIDkBEtZQAAAMmTpGSzCAlnQHmgSATgbdK2lPXsoblfOlXHjz4kxpEBAAAgSclmERLOgPJAkQjAPrSUAQAAJF+Sks0iJJwB5YFXfUCFo6UMAACgtCQp2SxCwhlQHigSARWqefNOXTx7vt5Yv2Pftt49Tfd+6T20lAEAACRYkpLNIiScAeWBIhFQYWgpAwAAKG1JSjaLkHAGlAdeEQIVgJYyAACA8pDEZLMICWdA6aNIBJQxWsoAAADKSxKTzSIknAGljyIRUIZoKQOAymNmN0s6T1Kru08Ot10l6XOSorf2v+Hu8+IZIYB8SGKyWYSEM6D08WoRKBNt7R369n0v6dZOLWXfnjlZn6SlDAAqwS2SrpN0W6ftP3H3HxZ/OAAKIYnJZhESzoDSR5EIKHGZWsrmXv4enTCGljIAqBTu/qSZjYt7HAAKK4nJZhESzoDSR5EIKFG0lAEAsnS5mX1K0gJJX3H3jZ13MLNZkmZJ0tixY4s8PADdkcRkswgJZ0Dp45UkUEJoKQMAdNMvJX1bkocffyTp7zvv5O6zJc2WpNraWi/mAAFkL8nJZhESzoDSRpEIKAG0lAEADoa7t0Sfm9mvJN0X43AA5CjJyWYREs6A0kaRCEiwdC1lZ5wwSj+7hJYyAMCBmdkYd28Ov/ywpMVxjgdAbt5KNktukWj8SBLOgFLGq0wgYWgpAwAcDDO7U9Jpkoab2WpJV0o6zcxqFLSbrZT0+bjGByB3byWbDYx7KBlFBSwSzoDSRJEISAhaygAAuXD3S9Js/nXRBwKgYFa0JjfZLBIlnK1g8WqgJFEkAmKWvqVspH52yTRaygAAALDPKy3bNCWhyWYRM9OxIwfplZatcQ8FwEHgFSgQA1rKAAAA0B2lkGwWGT9qMAlnQImiSAQUES1lAAAAOBivrk1+slmEhDOgdFEkAorg0aUt+uyttJQBAADg4ETtW0lONouQcAaULl6dAgXS3uH69n0v6Za/rtxvOy1lAAAA6K5SSDaLkHAGlK6cikRmNkzSXZLGKYhVvcjdN6bZb6WkrZLaJbW5e20uxwWSLF1LWa8eQUvZxCpaygAAANB9pZBsFiHhDChduc4kukLSo+5+jZldEX79tQz7fsDd1+V4PCCxaCkDAABAoZRCslmEhDOgdOX6yrVO0mnh57dKelyZi0RA2aGlDAAAAIVWSslmERLOgNKUa5FolLs3S5K7N5vZyAz7uaSHzcwl3ejuszM9oJnNkjRLksaOHZvj8IDCaN68U5fMnq+VtJQBAACgwEop2SxCwhlQmg5YJDKzP0kaneamb3bjOKe6e1NYRHrEzJa5+5PpdgwLSLMlqba21rtxDKDgaCkDAABAsZVSslmEhDOgNB3wVa27n5HpNjNrMbMx4SyiMZJaMzxGU/ix1czukTRdUtoiEZA0GVvK6ibpk6eMi2VMAAAAqByllGwWIeEMKE25Tn2YK+kySdeEH+d03sHMBkrq4e5bw88/JOnqHI8LFBwtZQAAAEiCUko2i5BwBpSmXItE10i628w+K+lNSRdKkplVSbrJ3WdIGiXpHjOLjneHuz+Y43GBgqGlDAAAAElSSslmERLOgNKU0yted18v6fQ025skzQg/f03S1FyOAxRappayq+sm6VO0lAEAACAmpZhsFiHhDCg9TItARUvXUtazh+leWsoAAACQAKWYbBYh4QwoPRSJUJFoKQMAAEApKMVkswgJZ0Dp4dUwKgYtZQAAACg1pZhsFiHhDCg9FIlQ9tZs3qVLfjVfr6/bvm8bLWUAAAAoBaWYbBYh4QwoPRSJULbStZSdfnzQUjawL099AAAAJF8pJptFSDgDSg+vlFFWaCkDAABAuSjlZLMICWdAaaFIhLJASxkAAADKTSknm0VIOANKC0UilDRaygAAAFCuSjnZLELCGVBaeBWNkkNLGQAAACpBKSebRUg4A0oLRSKUDFrKAAAAUElKOdksQsIZUFooEiHx/rysRX9/Cy1lAAAAqCylnGwWIeEMKC28wkYi0VIGAACASlYOyWYREs6A0kGRCImSrqWsh0n3fuk9mlRV2u+iAABQSGZ2s6TzJLW6++Rw2zBJd0kaJ2mlpIvcfWNcYwSQvXJINouQcAaUDopESIR0LWUfPH6kfk5LGQAA2bpF0nWSbkvZdoWkR939GjO7Ivz6azGMDUA3lUOyWYSEM6B08OobsWnvcH3n/pf0m/9bud92WsoAAOg+d3/SzMZ12lwn6bTw81slPS6KREBJKIdkswgJZ0DpoEiEoluzeZcu/dV8vUZLGQAAhTbK3Zslyd2bzWxk3AMCkJ1ySDaLkHAGlA6KRCiax5a16jO3PLvfNlrKAACIn5nNkjRLksaOHRvzaABI5ZFsFiHhDCgdvDJHQWVqKfvPCybpsnePi2VMAABUkBYzGxPOIhojqTXdTu4+W9JsSaqtrfViDhDA25VTslmEhDOgNFAkQkHQUgYAQCLMlXSZpGvCj3PiHQ6AbJRTslmEhDOgNFAkQl7RUgYAQDzM7E4Fi1QPN7PVkq5UUBy628w+K+lNSRfGN0IA2SqnZLMICWdAaeBVO3JGSxkAAPFz90sy3HR6UQcCIGfllGwWIeEMKA0UiXDQ0rWUmUn30VIGAAAAHLQVrVt11PCBZZFsFqka0l8DSDgDEo8iEbqNljIAAACgcMop2SzSo4dpPAlnQOLxih5ZoaUMAAAAKLxyTDaLkHAGJB9FInSJljIAAACgeKJks3JatDoyfiQJZ0DSUSRCWulayj5w3Ahdd+lJtJQBAAAABRK1Y00owyLRhFEknAFJl9OrfTO7UNJVkk6QNN3dF2TY72xJ10rqKekmd78ml+OiMDK1lF11/kR9+tSj4hkUAAAAUEHKMdksQsIZkHy5TglZLOkjkm7MtIOZ9ZR0vaQzJa2W9KyZzXX3l3I8NvKkZcsuXfKr+XptLS1lAAAAQJzKMdksQsIZkHw5FYncfakkmVlXu02XtMLdXwv3/Z2kOkkUiWJGSxkAAACQLOWYbBYh4QxIvmJUAqolrUr5erWkkzPtbGazJM2SpLFjxxZ2ZBWIljIAAAAgmco52SxCwhmQbAcsEpnZnySNTnPTN919ThbHSDfNyDPt7O6zJc2WpNra2oz7oXtoKQMAAACSrZyTzSIknAHJdsAikbufkeMxVks6IuXrwyU15fiYyBItZQAAAEBpKOdkswgJZ0CyFaNK8Kyk8WZ2lKRGSRdLurQIx61Y7R2u781bql8/9fp+22kpAwAAAJJreWv5JptFollSy1tJOAOSKKcikZl9WNLPJY2QdL+ZNbj7WWZWpSDqfoa7t5nZ5ZIektRT0s3uviTnkeNtaCkDAAAAStfylvJNNotECWfLW0g4A5Io13SzeyTdk2Z7k6QZKV/PkzQvl2MhM1rKAAAAgNJXzslmERLOgGSjglCiaCkDAAAAykclJJtFxo8arCdeIeEMSCKKRCWGljIAAACg/FRCslkkSjjbtGOPhg4g4QxIEopEJSJdS9lpx43Q9bSUAQAAACWvEpLNIlHC2SstJJwBSUN1IcFoKQMAAAAqQyUkm0VIOAOSiyJRAqVrKZOClrLJ1bSUAQAAAOWmEpLNIiScAclFkShBHn+5VZ/+DS1lAAAAQKWphGSzCAlnQHJReYgZLWUAAABAZaukZLMICWdAMlEkigktZQAAAACkyko2i5BwBiQTRaIiy9RSdt2lJ2kQLWUAAABAxamkZLMICWdAMlGVKAJaygAAAABkUknJZhESzoBkokhUQC1bdunSX83Xq7SUAQAAxGpve4eefGWtXl27TR88fpSOHVk5MzZS7dzTrkeXtah1y26dNXm0qof2j3tIsdiya68eWrxGu9s6dPbk0Ro+qG+s46mkZLNIkhLOGjft1EOL12jkIX11+vGj1L9Pz7iHFIsVrdv052UtOmbEIL1vwoiKej5G3F2LG7foqRXrNPWIIXrXUYepRw+Le1hFRZGoAGgpAwAAiJ+767k3Nqq+oVH3v9isjTv2SpK+N2+ZplQPUV1Nlc6fWqVRh/SLeaSF1dbeob++ul71DY16aPEabd/TLkm6+r6XNP2oYZpZU60ZU0aX/bowu9va9diytZrT0KhHl7VqT1uHJOnKuUv03vHDNbOmWmdOHBVLqnAlJZtF4k4427Rjj+5f1Kw5C5v0t5Ub9m0f2Kenzpo8WjNrqvXuYw5TrzIvlLRs2aV7X2hSfUOjFjdu2bf90AG9de6JYzSzplrvOPJQmZV3oeSN9ds1pyE4D6nrBo8+pJ8uqKlSXU2VJo45pOzPg0SRKG8ytZRdef5EfYaWMgAAgKJZ3rJV9Q2NmtPQpNUbd6pf7x4644RRmllTrePHDNaDi9doTkOTvnP/Un1v3lKdcsxhqqup1tmTR+uQfr3jHn5euLteXL1Z9Q2NuveFZq3btluD+/Xa96Kvamj/fS8Mv3HPIl05d7HeP2GkZk6r0hknjFK/3uUxk6KjwzX/9fWa29CkeYuatWVXm4YP6qNLp49VXU2V+vfpqTkNTZrb0KQv39Wg/r176syJozRzWpXeO744MykqMdksUuyEs5172vWnpS2a09CkJ15p1d521zEjBuorZ07Q+VOr1LRpp+obGvXAojX64/ONGj6or86fGvzMnHj4kLIpEGzZtVcPLlqjOS806q+vrpe7NKV6iP793BN09uTRWtYc/A79w3Ordfv8N3X4of1VV1OlmTXVGh+uJVUO1m3brftfbFZ9Q6MWvrlJkjT9qGH6h/ccrQ8cP0LPrtyoOQsbdfNTr2v2k69p/MhBmjmtWhdMrdIRwwbEO/gCMnePewwZ1dbW+oIFC+IeRpdat+zSpTc9oxWt+0+TpKUMAFAOxl1xvyRp5TXnFuTxzew5d68tyINjHzNbKWmrpHZJbV2d81K4/kqnefNOzW1oUn1Dk5Y2b1EPk94zfoRm1lTpQ5NGp53NvaJ1m+Y2NKq+oUlvbtihPr166IwTRqquplqnHTdCfXuVXqHk9XXbVb+wUXNfaNLr67arT88e+uDxQfHntONGvq344+5a0rRl331at+7WoL69dNak0Zo5rUrvPma4epZYq4W766XmLfuKP2u27Apmh0warbpp1To1zeyQjg7XgnDW2bxFzdq0Y6+GDeyjc6eM0cxpVTppbOFmUixu3Kzzfv6UfvGJkzRjypiCHCOpbnziVX3/gWVq+NaZBZvJlm4m3ahD+uqCqVWqq6nWpKq3zw7Ztbddjy1rVX1Dox5btlZ72jt01PCBqqsJ7nPU8NJbOyrdTLojDxuguqlVqptWrWNGvL0Fd9vuNj20eI3qGxr1fyvWqcOliWMO0cxpVbpgarVGDym9WZjbd7fpkZdaVN/QqL8sX6f2DtfxowerrqZaF9RUpW3B3bA9mnXWqAVvbJQk1R55qOqmVevcKWM0bGBpzsLMdA1Gkegg0VIGAKgEFInKQ1gkqnX3dQfaN8nXX51t3rlXDywK3gV+5vUNcpemHjFUM2uqdN6JVRoxOLt1ZtxdC1dt0pyFjbrvxWat375Hh4SzbupqqjV93LBEr0nRunWX7nuhWXMaGvXC6s0yk9511GGaOa1KZ08eoyH9s5sd1d7hmv/aetUvbNSDi9do6+42jRjcV+efWKWZ06o0pTrZMylWbdihuS80qX5ho5a3blOvHqb3TxihumnVOvOE7NeZ2dPWoSdeWav6hkb96aUW7W7r0BHD+qtuarVmTqvSsSPzO5Pij8+v1r/e/YL+9K/vy/tjJ91jy1r1mVue1d2fPyWvi1ennUnXt5fOmRK0kZ189GFZFz8379irBxZ3+j1z+BDV1VTr/KnZ/56JQ0eH65nXN2hOWPzcsqtNhw3so/OnBu1TNUcMzfpneu3W3brvxaAQ/8KqTTKTTg7bVc+Zkv3vmTjsbe/QX5avVf3CJj3yUot27m1X9dD+uiCcHXXc6Ox/7qLfM3MaGvVKS/B75n0TRqiupkofmji6pNazokiUB7SUAQAqDUWi8lBORaJCv8O/t71DT61YpzkLG/XwSy3asaddY4b00wVTqzRzWrVOGHNInr6T3HT1Dv/5U6s0ZkhuC1Lv2tuuPy9rVf3CRj3+cnCejx4+cN+LqnEJmUlR6Hf4t+7aq4eWtGhOAWdS/ODBZbrpL6/ppavPrriFgldv3KH3/OAxfffDk/WJk4/M+fFWrtu+r9U0mkn3geNHaGZNtT5w/Ntn0nVX8+adQZvmwia9FM5YPPXYYD2rsyann7FYbO6upc1bNachmB3YvHmXBkQz6Wqq9J5jh+e8ztLr67ZrTgHPcz64u55/c6PqFzbp/kXN2rB9j4YO6K0ZU4L2wdojD82p+F+M81xoFIlyQEsZAKBSUSQqD2b2uqSNklzSje4+u9PtsyTNkqSxY8e+44033ij+ILsQ1wyXHXuCtoQ5DU168pW1autwHTdq8L5FTA8/tLhrUqSb4VKMtULSzqQ4iBlb+bJzT7seWdqiOQsb9UT4/1KMtULyNWOrs3+49Vm9uWGHHv6X9+d5xMnX0eGafNVDuqj2CF11waSDeowuZ7hMHqMhAwozw6Wrtc/eN2GE+vQqboFg9cYdmtOQfobLmRNHaUCf/BewMq19ds7k7s/YypcVrVtVv7BJc15o1KoNO9W3Vw+dMTH4f3l/gf5f0s3YGj6oj847sfsztoqJItFBSNdS9v4JI3T9J2gpAwBUBopE5cHMqty9ycxGSnpE0pfc/cl0+8Z9/RVJXSvn3heb1LJl/7VyTjm6uKlD67ft1rxFzapvaNJz4YyVd447VHU1wYyVQwu0JkW6tXIOHdB734uPYqcONW0KZ1KEaz/17GHhTIrMaz/lQ1s0w6uhSQ8tWaMde9o1+pB+qqup0gUxpA69tnbbvhfkK9cH61l98LjMaz915X3/9ZimHD5E1196UgFHnFx11z2lgX176Y7PvSvr+xR6Jl13pEtRHDqgd7ieVbXeMTa3GStd2bh9j+5LyFo5B7P2U76s2bxLc19oTMQMr4xrP9VUq66mKu3aT3GhSJSl9g7X9+ct1U20lAEAQJGoDJnZVZK2ufsP090ed5HozfU7NKehUfUNjXp17Xb17mmJS91atSEaY5NWtG4LxzhCdTXVOqMba9905eU1wSyFuQ1NatwUzFL40MTRRU3dOpBXWraqfmEwkyIa45kTR6tualVeZlK4uxpWbdKchibd92KT1m0L1oqaMSVYK+rko+JfK8rd9cLqzapf2LhvjIP79dKMyWNUV1N1wJkUO/e0a+KVD+rLp0/QP58xvogjT45/+/0LeuKVtXr2m2d0ud+etg49Gc2kW9qiXXuLM5OuO/a2R2Ns0iMvrdGuvR2qHtp/Xztsd9a+ySSumXTdHWPnFLljRw7SzJqgTXPsYbmPcfPOvXpwcbPqFzZp/uvr91sr6rypYzRycPyLamdKkaurqdIFU6s08pB4x0iR6ABoKQMA4O0oEpU+MxsoqYe7bw0/f0TS1e7+YLr94ygSrd+2W/cvalb9wkY9H8UQjxumumlVmjG5cLN0chXNdpr7QqcUrcmjVVeTPkWrK02bdu5beHnZmq3q2cP0nmOHa+a0YEHUgQmdyd7R4XruzY2akzKT4tBo7Y+DmEnx2tptqm9o0tyUWTqnHx+kzn3g+OSmzrW1d+j/Xl2vOQsb9dCSYCbF6EP66fypYzLOpKjkZLNIVwln0XOrfmGj7k+ZSXfuicG6MsWeSdcd23a36eEla1Tf0KT/W/FWilZUzKlKk6KVSabnVtT6WuyZdN2xcfsezVvcrDkLm/S3lRskSSeNHaqZ4WynwwZl3666a2+7Hn+5VfULm/Tnl4NZOuNSZukcnaBZOp21bNkVzsJs1OLGYLbTu48ZrrqaKp09ebQG9yv+wt8UiTJI11L2vgkj9AtaygAAoEhUBszsaEn3hF/2knSHu3830/7FKhJF6/3UL2zUk2EM8XGjBqtuWvAOa7HX+8lVe4frmdfXa87CJs1b3Kytu9o0fFBfnXdiUCiZenj6dZM279ireYuDAtnfVgbr/dRE6/1MrdLwbryASoI9bWGKUJqZFDOnVWtChtkerVt36d5wvZ8Xw/V+Tjn6MM2sqdbZU0brkBheQOXirZkUwcLfbR1vzaSoq6neN9ujkpPNIukSzjLNUptZE8xSS8JMuu5Yu3W37g/XTWoI102aPm6YZk6r1owM6yZ1OUttWpVOPqr46/3kavXGMBlsYZNebtmqXj1M7x0/XDOnVWdcN6mjwzX/bb9bg/V+uvrdmmQrWreG7apNenPDjmDdpBNGqa4maFct1npWFIlS0FIGAEB2KBJVnkIWifa2d+ip5etU39Coh5cEMcRVQ/rpgpogWvz40clIDsvVfu92L2vdl8AWJaSNGdJPjy4NEtoefzloxTh6+MB974YnJTksV6kzKZ5avlYdLp0w5pCg5aSmSoP69npbctikqkM0M4wWz0dyWBJsjBLYGhr17Mpg3Zh3HHmoZtZUaemarfr9glUVmWwWiRLO/un08RrYp2fR17sqtpXrtu9bz+q1MBnstONGaOa0an3w+JFq2rRz//WuevbQB48/uPWukmxp85Z9LbVRMtiHJo5S3bRqvffY4Vq2ZuvbZ2lOGq26ad2fpZlUQQLbJs1paNR9LwYJbEP6RwlsVXrnuMK21FIkCr2+brs+8MPH37Z9/MjkTk0DACAuy8M2bIpElaNQRaL7XmzSlXOWaH2RL4Ljlm7djH69e2jX3g6NGBws6jqzplqTq5PbLpIP6RKoevfsoT1tHTpiWH/NDAtk5T6bZtWGcCZFmEAlSRNGDarIZLNIlHC2Y0+7pLdm0p0bQ3JeMbm7FjVuVv3CJt37YpPWbt2973dD6ky6syaPPujkvFLQ0eH628oN+9pVt+xq23ceevUwnXZcftd7S6q90eL8Cxv1UMqbKD/+eI3edfRhBTkmRaLQ+m279Y7v/ElS0FY2qG/5PtEAAMjVvEVr9Ol3jzvoaOIDoUiUPIUqEj3/5kb9+i+vq66mSu8/LrnryhRS8+YgGWzVhp06a9JonXJM6bWL5MPr67ZrbkOTtuzaqxlTxuikscmMhy4kd9fS5q2678UmTa4eUrHrEUVun/+GNmzfowumls9Muu5o73A9/ep6PbRkjcYOG1BWM+m6Y3dbu554ea0ee3mtJlUdUtDkyCRLbcf+7oendGv9qu6gSAQAABKHIlHycP0FAED5y3QNVvqNfAAAAAAAAMhZTkUiM7vQzJaYWYeZZXwX0MxWmtkiM2swM96aAgAAAAAASJhcl4hfLOkjkm7MYt8PuPu6HI8HAAAAAACAAsipSOTuSyVV3EJzAAAAAAAA5aZYaxK5pIfN7Dkzm9XVjmY2y8wWmNmCtWvXFml4AAAAAAAAle2AM4nM7E+SRqe56ZvuPifL45zq7k1mNlLSI2a2zN2fTLeju8+WNFsK0jWyfHwAAAAAAADk4IBFInc/I9eDuHtT+LHVzO6RNF1S2iIRAAAAAAAAiq/g7WZmNtDMBkefS/q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\n",
"text/plain": [
"<Figure size 1440x288 with 2 Axes>"
]
@@ -188,29 +188,59 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 11,
"id": "b56d782d-fcea-4fb9-b0c1-9c3933d5ce6c",
"metadata": {},
"outputs": [],
"source": [
"def modulate_16qam(m):\n",
- " sym = {}\n",
+ " sym = {\n",
+ " # first column\n",
+ " 0: -3 -3j,\n",
+ " 1: -3 -1j,\n",
+ " 2: -3 +3j,\n",
+ " 3: -3 +1j,\n",
+ " # second column\n",
+ " 4: -1 -3j,\n",
+ " 5: -1 -1j,\n",
+ " 6: -1 +3j,\n",
+ " 7: -1 +1j,\n",
+ " # fourth column\n",
+ " 8: 3 -3j,\n",
+ " 9: 3 -1j,\n",
+ " 10: 3 +3j,\n",
+ " 11: 3 +1j,\n",
+ " # third column\n",
+ " 12: 3 -3j,\n",
+ " 13: 3 -1j,\n",
+ " 14: 3 +3j,\n",
+ " 15: 3 +1j,\n",
+ " }\n",
" return map(lambda k: sym[k] if k in sym.keys() else None, m)"
]
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": 12,
"id": "2fb687aa-0061-4626-bf6b-3ec7d628d739",
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[1, 10, 3, 4]\n",
+ "[(-3-1j), (3+3j), (-3+1j), (-1-3j)]\n"
+ ]
+ }
+ ],
"source": [
"# convert into chunks of 4 bits for QPSK\n",
- "# chunks = list(np.matmul(np.array(ac_pad).reshape((-1,4)), np.array([4, 3, 2, 1])))\n",
- "# syms = list(modulate_16qam(chunks))\n",
+ "chunks = list(np.matmul(np.array(ac_pad).reshape((-1,4)), np.array([4, 3, 2, 1])))\n",
+ "syms = list(modulate_16qam(chunks))\n",
"\n",
- "# print(chunks)\n",
- "# print(syms)"
+ "print(chunks)\n",
+ "print(syms)"
]
}
],