{
"cells": [
{
"cell_type": "markdown",
"id": "cb83cb4c",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Projekt"
]
},
{
"cell_type": "markdown",
"id": "4fa55997",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"```{note}\n",
"Es gibt Templates für Python (python.zip) und C++ (cpp.zip)\n",
"```"
]
},
{
"cell_type": "markdown",
"id": "0f54afd9",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"```{note}\n",
"Wir orientieren uns in diesem Projekt am `noaa_apt` Modul von [SatDump](https://github.com/SatDump/SatDump), einem open source Programm mit dem man Daten von vielen verschiedenen Satelliten dekodieren kann.\n",
"```"
]
},
{
"cell_type": "markdown",
"id": "2a4f16b4",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Jetzt wenden wir die Theorie an, um das empfangene Signal zu dekodieren.\n",
"\n",
"Schauen wir uns nochmal an, wie der Satellit das Signal überträgt:"
]
},
{
"cell_type": "markdown",
"id": "adaf6659",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"```{figure} img/apt_frame_format.webp\n",
"---\n",
"name: fig:frame_format2\n",
"---\n",
"APT Bildformat ([source](https://en.wikipedia.org/wiki/File:NOAA_APT_Frame_Format.gif))\n",
"```"
]
},
{
"cell_type": "markdown",
"id": "f653ed80",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Das Bild besteht aus Pixeln, die per Amplituden-Modulation auf einen Carrier moduliert werden:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "2a4aa651",
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fig, ax = plt.subplots(3, sharex=True)\n",
"\n",
"t = np.linspace(0, 5 * 1 / 4160, 1000, endpoint=False)\n",
"data = np.array(200 * [255] + 200 * [128] + 200 * [200] + 200 * [20] + 200 * [255])\n",
"carrier = np.sin(2 * np.pi * 24_000 * t)\n",
"\n",
"ax[0].plot(t, data, color=\"C1\");\n",
"ax[0].set_ylabel(\"Pixelwerte\");\n",
"ax[1].plot(t, carrier, color=\"C0\");\n",
"ax[1].set_ylabel(\"Carrier\");\n",
"ax[2].plot(t, data * carrier, color=\"C0\");\n",
"ax[2].plot(t, data, color=\"C1\");\n",
"ax[2].plot(t, -data, color=\"C1\", linestyle=\"dotted\");\n",
"ax[2].set_ylabel(\"Signal\");\n",
"\n",
"for a in ax:\n",
" a.get_xaxis().set_ticks([]);"
]
},
{
"cell_type": "markdown",
"id": "b11ba0ea",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Die Pixelwerte (\"Basisband\") und den Carrier können wir als Signale auffassen, und die Modulation entsteht durch *Multiplikation* beider Signale."
]
},
{
"cell_type": "markdown",
"id": "fca54469",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Wir erinnern uns:"
]
},
{
"cell_type": "markdown",
"id": "12803f83",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"$$ \\text{Multiplikation} \\,\\circ\\!\\!-\\!\\!\\bullet\\, \\text{Faltung} $$"
]
},
{
"cell_type": "markdown",
"id": "e02e20a9",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Bei der Modulation wird also das Spektrum des Basisbands mit dem des Carriers gefaltet."
]
},
{
"cell_type": "markdown",
"id": "1d1b4bf0",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Das Spektrum des Carriers sieht so aus:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "b61fb512",
"metadata": {
"slideshow": {
"slide_type": "-"
},
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 8192\n",
"f_s = 16440\n",
"t = np.linspace(0, n / f_s, n, endpoint=False)\n",
"carrier = np.sin(2 * np.pi * 2400 * t)\n",
"\n",
"X = np.roll(np.fft.fft(carrier), -n//2)\n",
"f = np.roll(np.fft.fftfreq(n, 1/f_s), -n//2)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(f, np.abs(X));\n",
"ax.set_xlabel(\"Frequenz [Hz]\");"
]
},
{
"cell_type": "markdown",
"id": "c2a53d61",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Wir sehen zwei Peaks, bei plus und minus 2.4 kHz. Dadurch entstehen bei der Faltung zwei Kopien des Basisbands:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "75ba74c8",
"metadata": {
"slideshow": {
"slide_type": "subslide"
},
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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y8tSvXz8VFxdrwYIFWrhwoQYMGCBJyszMVNeuXbVp0yb17dtX7733nnbv3q3Vq1crJiZGvXr10pNPPqlHH31Ujz/+uEJDQ/Xiiy8qMTFRs2fPliR17dpVH374oebMmaO0tLQG2nUAAGCrn3QOTHFxsSQpKipKkpSXl6fy8nKlpqY6NV26dFGHDh2Um5srScrNzVWPHj0UExPj1KSlpamkpES7du1yaqpvo6qmahu1KS0tVUlJic8NAAA0TRccYCorKzV+/Hhdf/31uuKKKyRJXq9XoaGhioyM9KmNiYmR1+t1aqqHl6r2qraz1ZSUlOjkyZO19mf69OmKiIhwbgkJCRe6awAAoJG74ACTkZGhnTt3atGiRQ3Znws2efJkFRcXO7fDhw/7u0sAAOAiqdc5MFXGjRunZcuWaf369Wrfvr2zPDY2VmVlZSoqKvKZhSkoKFBsbKxTs2XLFp/tVV2lVL3mx1cuFRQUyOPxqHnz5rX2ye12y+12X8juAAAAy9RrBsYYo3Hjxumtt97S2rVrlZiY6NPep08fhYSEaM2aNc6yvXv36tChQ0pOTpYkJScna8eOHSosLHRqsrOz5fF41K1bN6em+jaqaqq2AQQ6w7djAAhw9ZqBycjI0MKFC/X222+rVatWzjkrERERat68uSIiIjR69GhNmDBBUVFR8ng8evDBB5WcnKy+fftKkgYNGqRu3bpp+PDhmjlzprxerx577DFlZGQ4Myhjx47VvHnzNGnSJI0aNUpr167V4sWLtXz58gbefQAAYKN6zcC88MILKi4uVkpKiuLi4pzbG2+84dTMmTNH//Iv/6KhQ4eqX79+io2N1Ztvvum0BwcHa9myZQoODlZycrL+4z/+QyNGjNC0adOcmsTERC1fvlzZ2dm68sorNXv2bL388stcQg0AACTVcwbGmHNPW4eFhWn+/PmaP39+nTUdO3bUihUrzrqdlJQUbd++vT7dA5o2PjUCAAe/hQRYyCWXv7sAAH5FgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwABqd8/jdWAABjgADAACsQ4ABAADWIcAAAADrEGAAAIB1CDCAhYw4yxVAYCPAAAAA6xBgAACAdQgwAADAOgQYwBKc9QIAPyDAABZyyeXvLgCAXxFgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAIMmw/i7AwCAnw0BBgAAWIcAAwAArEOAASxk+MAMQIAjwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDGAhl1z+7gIA+BUBBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgxgISPj7y40eoxR02B4GlEHAgwAALAOAQYAAFiHAAMAAKxDgAEswbkAAPADAgxgIZdc/u4CAPgVAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHXqHWDWr1+vW265RfHx8XK5XFq6dKlPuzFGU6ZMUVxcnJo3b67U1FR99tlnPjXffPONhg0bJo/Ho8jISI0ePVrHjx/3qfnkk0904403KiwsTAkJCZo5c2b99w4AADRJ9Q4wJ06c0JVXXqn58+fX2j5z5kw9++yzevHFF7V582a1bNlSaWlpOnXqlFMzbNgw7dq1S9nZ2Vq2bJnWr1+v++67z2kvKSnRoEGD1LFjR+Xl5WnWrFl6/PHH9Ze//OUCdhEAADQ1zeq7wuDBgzV48OBa24wxeuaZZ/TYY49pyJAhkqT//d//VUxMjJYuXarf/OY32rNnj1auXKmtW7fq6quvliQ999xz+vWvf62nnnpK8fHxev3111VWVqZXXnlFoaGh6t69u/Lz8/X000/7BB0AABCYGvQcmAMHDsjr9So1NdVZFhERoaSkJOXm5kqScnNzFRkZ6YQXSUpNTVVQUJA2b97s1PTr10+hoaFOTVpamvbu3atvv/221scuLS1VSUmJzw0AADRNDRpgvF6vJCkmJsZneUxMjNPm9XoVHR3t096sWTNFRUX51NS2jeqP8WPTp09XRESEc0tISPjpOwQAABqlJnMV0uTJk1VcXOzcDh8+7O8uAQCAi6RBA0xsbKwkqaCgwGd5QUGB0xYbG6vCwkKf9tOnT+ubb77xqaltG9Uf48fcbrc8Ho/PDQAANE0NGmASExMVGxurNWvWOMtKSkq0efNmJScnS5KSk5NVVFSkvLw8p2bt2rWqrKxUUlKSU7N+/XqVl5c7NdnZ2ercubNat27dkF0GAAAWqneAOX78uPLz85Wfny/pzIm7+fn5OnTokFwul8aPH68//OEPeuedd7Rjxw6NGDFC8fHxuu222yRJXbt21c0336x7771XW7Zs0YYNGzRu3Dj95je/UXx8vCTprrvuUmhoqEaPHq1du3bpjTfe0Ny5czVhwoQG23EAAGCvel9GvW3bNvXv39+5XxUq7r77bmVlZWnSpEk6ceKE7rvvPhUVFemGG27QypUrFRYW5qzz+uuva9y4cRo4cKCCgoI0dOhQPfvss057RESE3nvvPWVkZKhPnz5q27atpkyZwiXUAABA0gUEmJSUFBlj6mx3uVyaNm2apk2bVmdNVFSUFi5ceNbH6dmzpz744IP6dg8AAASAJnMVEhBIjOp+EwEAgYAAAwAArEOAAQAA1iHAAAAA6xBgAEtw3gsA/IAAA1jIJZe/uwAAfkWAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAANYyMj4uwsA4FcEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAQZNhDCe2AkCgIMAAFnLJ5e8uAIBfEWAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAABaqNMbfXQAAvyLAAICFiLAIdAQYwEJMwIAEg0BHgAEsVMmrV8AzHAMIcAQYwEa8dgU8DgEEOgIMYInqHxvxERJc/u4A4GcEGMASZBZU5yLCIMARYABbkGDqpcnPUgVIfjFN/onEhSLAAJaoftImJ3AiQPILUCcCDGAJn3Ng/NcNNBIuEgwCHAEGsISp8w4CEefAINARYAALkV8ABDoCDGCJ6iczcmIj+AgJgY4AA1iI+AICDAIdAQawRPXQwgQMOAcGgY4AA1jC95t4STCBjhkYBDoCDGAh4guAQEeAASxRfdalkhkYAAGOAANYopLMgmrIsAh0BBjAEpU+l1H7sSNoFPg5CQQ6AgxgiYpKPkLCDzgEEOgIMIAlmIFBdRwDCHQEGMASlZX+7gEANB4EGMASFVyFhGo4BwaBjgADWML3HBg/dgSNAscAAh0BBrBE6ekK5++T5RVnqUQgqP69QKcr+HwRgYcAA1jiVPkPL1Inywgwgc5V7bcECLQIRAQYwBLVQwsvWCitdgx8R6BFAGrUAWb+/Pm69NJLFRYWpqSkJG3ZssXfXQL85usTpc7f354o82NP0Bh8Ve0Y+PY7jgcEnkYbYN544w1NmDBBU6dO1UcffaQrr7xSaWlpKiws9HfXgJ9dpTHafbTEuf8P7zGd5rrqgPXNiTIVlJxy7u/8ouQs1UDT5DKmcV6PmZSUpGuuuUbz5s2TJFVWViohIUEPPvigfv/7359z/ZKSEkVERKi4uFgej6fB+lV47JS+K/Wdrq1tAGsb1trranuUWtat41k6323WdsllrXU/Yd3a1N3v8+xPrdusfWwrKir10aGieven1stRz7MvP/VxjDlzddHpSqPTlZWqqDAqrzSqqDQqr6jU8dLT+vZEmfZ/eULeai9YkhTdyq1fxrRS6xYhahUWotDgIDULdp25BQWpWZBLQS6XXC6p6nSJoO//cLkkl75v05nzKVzVlsulOp2lqc7Gs63jqqX1qo6RcjcLlusC++FySYUlpdpXeLzWdlPtD1P9mTHft5mqu+ZH979/Ho3vdky1+mrNTlv15776sVFXm9GZE3PLKipVftqorKJSZacrdaLstL48VqrdR0tqfGz0y5hwJbRuoVZhzdTS3UwhwUEKCXKpWXCQgoNcPsdD1RjVOAaqnnqXFPT9cRB0luOhzuegHvW1Pf/Vi1uGBqtnQuTZt1HPjtRWX9cmXGc7CP2gcfVGatvKrXB3swbd5vm+fjfsozaQsrIy5eXlafLkyc6yoKAgpaamKjc3t9Z1SktLVVr6wxR7ScnFeUfyh2V79M7HRy7KtoGzCQ0O0sjrL1WL0GC9tO6fKjxWqsJjpedeEU1SrCdMD//qF1q9p1DZuwv0acFxfVpQe2ADLpZnf3uVbr0y3i+P3SgDzFdffaWKigrFxMT4LI+JidE//vGPWteZPn26nnjiiYvet7CQILWqLW3+xET/U98RnP+7kp/2jqSuNyO1vYs6/22e/3uKWrf5M/bpfIf0fJ87l3TmnXKzILmDgxTSzKXQ4CBnWWTzEMVFhKljm5bq94t2imgRIkkafUOiNuz7SnuOHtPXJ0r17YlynSyvUNnpM+/Uq96xVxrjvMuvNN9/Ad73/zU689+qT6Kqas/2JXlnm4Wqe7WzbO8sGzz7Y114H6vPOEhVf1f9Vb1d37dXm5movl4tMxk/bK/a0VfH47n04+34tocEB6l5SLDCQoIUFhKs5iHBCg9rpg5RLdQtzqOky9ooOMilO6/poP/7+oQ2//Mb/fOrE/r2RJmKTpap9HSlyiuqjgej8lqOB+Pc933+TVWbfL9/6HzGuT7HQX1mls/Un9/M9lm3XY9t8F2B59YsyH9zQo3yI6QjR47okksu0caNG5WcnOwsnzRpktatW6fNmzfXWKe2GZiEhIQG/wgJAABcPFZ/hNS2bVsFBweroKDAZ3lBQYFiY2NrXcftdsvtdv8c3QMAAH7WKK9CCg0NVZ8+fbRmzRpnWWVlpdasWeMzIwMAAAJTo5yBkaQJEybo7rvv1tVXX61rr71WzzzzjE6cOKF77rnH310DAAB+1mgDzJ133qkvv/xSU6ZMkdfrVa9evbRy5coaJ/YCAIDA0yhP4m0IF+t7YAAAwMVzvq/fjfIcGAAAgLMhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1mm0PyXwU1V9wXBJSYmfewIAAM5X1ev2uX4ooMkGmGPHjkmSEhIS/NwTAABQX8eOHVNERESd7U32t5AqKyt15MgRtWrVSi6Xy9/dqVNJSYkSEhJ0+PBhfrPpe4yJL8ajJsbEF+NRE2NSky1jYozRsWPHFB8fr6Cgus90abIzMEFBQWrfvr2/u3HePB5Poz6g/IEx8cV41MSY+GI8amJMarJhTM4281KFk3gBAIB1CDAAAMA6BBg/c7vdmjp1qtxut7+70mgwJr4Yj5oYE1+MR02MSU1NbUya7Em8AACg6WIGBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgLoKcnBy5XK5ab1u3bpUkHTx4sNb2TZs2+WxryZIl6tKli8LCwtSjRw+tWLHCp90YoylTpiguLk7NmzdXamqqPvvss59tX+vj0ksvrbG/M2bM8Kn55JNPdOONNyosLEwJCQmaOXNmje00hTE5ePCgRo8ercTERDVv3lyXX365pk6dqrKyMp+aQDtGzsf8+fN16aWXKiwsTElJSdqyZYu/u9Qgpk+frmuuuUatWrVSdHS0brvtNu3du9enJiUlpcbxMHbsWJ+aQ4cOKT09XS1atFB0dLQmTpyo06dP+9Tk5OSod+/ecrvd6tSpk7Kysi727l2Qxx9/vMb+dunSxWk/deqUMjIy1KZNG4WHh2vo0KEqKCjw2UZTGo/a/h/qcrmUkZEhKfCODxk0uNLSUnP06FGf25gxY0xiYqKprKw0xhhz4MABI8msXr3ap66srMzZzoYNG0xwcLCZOXOm2b17t3nsscdMSEiI2bFjh1MzY8YMExERYZYuXWo+/vhjc+utt5rExERz8uTJn32/z6Vjx45m2rRpPvt7/Phxp724uNjExMSYYcOGmZ07d5q//vWvpnnz5uall15yaprKmPz97383I0eONKtWrTL79+83b7/9tomOjjaPPPKIUxOIx8i5LFq0yISGhppXXnnF7Nq1y9x7770mMjLSFBQU+LtrP1laWprJzMw0O3fuNPn5+ebXv/616dChg8+/kZtuusnce++9PsdDcXGx03769GlzxRVXmNTUVLN9+3azYsUK07ZtWzN58mSn5p///Kdp0aKFmTBhgtm9e7d57rnnTHBwsFm5cuXPur/nY+rUqaZ79+4++/vll1867WPHjjUJCQlmzZo1Ztu2baZv377muuuuc9qb2ngUFhb6jEV2draRZN5//31jTOAdHwSYn0FZWZlp166dmTZtmrOs6sVp+/btda53xx13mPT0dJ9lSUlJ5v777zfGGFNZWWliY2PNrFmznPaioiLjdrvNX//614bdiQbQsWNHM2fOnDrbn3/+edO6dWtTWlrqLHv00UdN586dnftNbUyqmzlzpklMTHTuB+Ixci7XXnutycjIcO5XVFSY+Ph4M336dD/26uIoLCw0ksy6deucZTfddJN56KGH6lxnxYoVJigoyHi9XmfZCy+8YDwej/PvatKkSaZ79+4+6915550mLS2tYXegAUydOtVceeWVtbYVFRWZkJAQs2TJEmfZnj17jCSTm5trjGl64/FjDz30kLn88sudN8aBdnzwEdLP4J133tHXX3+te+65p0bbrbfequjoaN1www165513fNpyc3OVmprqsywtLU25ubmSpAMHDsjr9frUREREKCkpyalpbGbMmKE2bdroqquu0qxZs3ymLnNzc9WvXz+FhoY6y9LS0rR37159++23Tk1TG5MqxcXFioqKqrE80I6RupSVlSkvL89nX4KCgpSammrdvpyP4uJiSapxTLz++utq27atrrjiCk2ePFnfffed05abm6sePXooJibGWZaWlqaSkhLt2rXLqTnbMdPYfPbZZ4qPj9dll12mYcOG6dChQ5KkvLw8lZeX++xLly5d1KFDB2dfmuJ4VCkrK9Nrr72mUaNG+fxgcSAdH032xxwbkwULFigtLc3nxyXDw8M1e/ZsXX/99QoKCtLf/vY33XbbbVq6dKluvfVWSZLX6/U50CQpJiZGXq/Xaa9aVldNY/K73/1OvXv3VlRUlDZu3KjJkyfr6NGjevrppyWd2Z/ExESfdar2zev1qnXr1k1uTKrs27dPzz33nJ566ilnWSAeI2fz1VdfqaKiotZ9+cc//uGnXl0clZWVGj9+vK6//npdccUVzvK77rpLHTt2VHx8vD755BM9+uij2rt3r958801JdR8PVW1nqykpKdHJkyfVvHnzi7lr9ZKUlKSsrCx17txZR48e1RNPPKEbb7xRO3fulNfrVWhoqCIjI33W+fHx35TGo7qlS5eqqKhII0eOdJYF2vFBgKmH3//+9/rzn/981po9e/b4nGT2+eefa9WqVVq8eLFPXdu2bTVhwgTn/jXXXKMjR45o1qxZzouTDeozJtX3t2fPngoNDdX999+v6dOnN5mvtr6QY+SLL77QzTffrH//93/Xvffe6yxvKscI6i8jI0M7d+7Uhx9+6LP8vvvuc/7u0aOH4uLiNHDgQO3fv1+XX375z93Ni27w4MHO3z179lRSUpI6duyoxYsXN6oXUn9YsGCBBg8erPj4eGdZoB0fBJh6eOSRR3zSbm0uu+wyn/uZmZlq06bNeb3gJCUlKTs727kfGxtb44z6goICxcbGOu1Vy+Li4nxqevXqdc7HawgXMiZVkpKSdPr0aR08eFCdO3euc38l+exzYx6T+o7HkSNH1L9/f1133XX6y1/+cs7t23iMNJS2bdsqODj4rPvbFIwbN07Lli3T+vXrfWZta5OUlCTpzAze5ZdfrtjY2BpXZZ3vvyGPx9PoQ0FkZKR++ctfat++ffrVr36lsrIyFRUV+czC/Pj4b4rj8X//939avXq1M7NSl6Z+fHAOTD20a9dOXbp0Oeut+vkbxhhlZmZqxIgRCgkJOef28/PzfV5kkpOTtWbNGp+a7OxsJScnS5ISExMVGxvrU1NSUqLNmzc7NRdbfcekuvz8fAUFBSk6OlrSmf1dv369ysvLnZrs7Gx17txZrVu3dmoa85jUZzy++OILpaSkqE+fPsrMzFRQ0Ln/Odp4jDSU0NBQ9enTx2dfKisrtWbNGuv2pTbGGI0bN05vvfWW1q5dW+Pj1Nrk5+dLknNMJCcna8eOHSosLHRqsrOz5fF41K1bN6fmbMdMY3b8+HHt379fcXFx6tOnj0JCQnz2Ze/evTp06JCzL011PDIzMxUdHa309PSz1jX548PfZxE3ZatXrzaSzJ49e2q0ZWVlmYULF5o9e/aYPXv2mD/+8Y8mKCjIvPLKK07Nhg0bTLNmzcxTTz1l9uzZY6ZOnVrrJbKRkZHm7bffNp988okZMmRIo7xEduPGjWbOnDkmPz/f7N+/37z22mumXbt2ZsSIEU5NUVGRiYmJMcOHDzc7d+40ixYtMi1atKhxGXVTGJPPP//cdOrUyQwcONB8/vnnPpc9Vgm0Y+R8LFq0yLjdbpOVlWV2795t7rvvPhMZGelzVYWtHnjgARMREWFycnJ8jofvvvvOGGPMvn37zLRp08y2bdvMgQMHzNtvv20uu+wy069fP2cbVZfJDho0yOTn55uVK1eadu3a1XqZ7MSJE82ePXvM/PnzG+1lso888ojJyckxBw4cMBs2bDCpqammbdu2prCw0Bhz5jLqDh06mLVr15pt27aZ5ORkk5yc7Kzf1MbDmDNX3nXo0ME8+uijPssD8fggwFxEv/3tb32+k6C6rKws07VrV9OiRQvj8XjMtdde63M5YJXFixebX/7ylyY0NNR0797dLF++3Ke9srLS/Pd//7eJiYkxbrfbDBw40Ozdu/ei7M9PkZeXZ5KSkkxERIQJCwszXbt2NX/605/MqVOnfOo+/vhjc8MNNxi3220uueQSM2PGjBrbagpjkpmZaSTVeqsSaMfI+XruuedMhw4dTGhoqLn22mvNpk2b/N2lBlHX8ZCZmWmMMebQoUOmX79+JioqyrjdbtOpUyczceJEn+/5MMaYgwcPmsGDB5vmzZubtm3bmkceecSUl5f71Lz//vumV69eJjQ01Fx22WXOYzQ2d955p4mLizOhoaHmkksuMXfeeafZt2+f037y5Enzn//5n6Z169amRYsW5l//9V993gQY07TGwxhjVq1aZSTV+DcciMeHyxhj/DHzAwAAcKE4BwYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAkHTx4UC6XSy6X66L80GVKSoqz/arfqAFw4QgwQAAbOXKk86Ja/bZv3z5/d81vVq9e7fNjdo8//nitgaYq8JxvGHnzzTdr/BIwgAvXzN8dAOBfN998szIzM32WtWvXrkZdWVlZnb8s3pS0adNGbdq0afDtRkVFqaSkpMG3CwQqZmCAAOd2uxUbG+tzCw4OVkpKisaNG6fx48erbdu2SktLkyTt3LlTgwcPVnh4uGJiYjR8+HB99dVXzvZOnDihESNGKDw8XHFxcZo9e7ZSUlI0fvx4p8blcmnp0qU+/YiMjFRWVpZz//Dhw7rjjjsUGRmpqKgoDRkyRAcPHnTaR44cqdtuu01PPfWU4uLi1KZNG2VkZKi8vFySlJOTU+vs0siRIxt6CJ3+1PZ4OTk5F+XxgEBHgAFQp1dffVWhoaHasGGDXnzxRRUVFWnAgAG66qqrtG3bNq1cuVIFBQW64447nHUmTpyodevW6e2339Z7772nnJwcffTRR/V63PLycqWlpalVq1b64IMPtGHDBoWHh+vmm29WWVmZU/f+++9r//79ev/99/Xqq68qKyvLCUHXXXedjh496tzWrl2rsLAw9evXr0HG5sfmzp3r83gPPfSQoqOj1aVLl4vyeECg4yMkIMAtW7ZM4eHhzv3BgwdryZIlkqRf/OIXmjlzptP2hz/8QVdddZX+9Kc/OcteeeUVJSQk6NNPP1V8fLwWLFig1157TQMHDpR0JgS1b9++Xn164403VFlZqZdfflkul0uSlJmZqcjISOXk5GjQoEGSpNatW2vevHkKDg5Wly5dlJ6erjVr1ujee+9VaGioYmNjJUlff/21xowZo1GjRmnUqFH1HqMdO3b4jJEkGWN87kdERCgiIkLSmfNdXnrpJa1evdrpA4CGRYABAlz//v31wgsvOPdbtmzp/N2nTx+f2o8//ljvv/9+jRdzSdq/f79OnjypsrIyJSUlOcujoqLUuXPnevXp448/1r59+9SqVSuf5adOndL+/fud+927d1dwcLBzPy4uTjt27PBZp7y8XEOHDlXHjh01d+7cevWjSufOnfXOO+/4LPviiy+UkpJSo3b79u0aPny45s2bp+uvv/6CHg/AuRFggADXsmVLderUqc626o4fP65bbrlFf/7zn2vUxsXFnffVSy6Xq8YMRtW5K1WP06dPH73++us11q1+gnFISEiN7VZWVvose+CBB3T48GFt2bJFzZpd2P/yQkNDa4xRbdvyer269dZbNWbMGI0ePfqCHgvA+SHAADhvvXv31t/+9jddeumltb6AX3755QoJCdHmzZvVoUMHSdK3336rTz/9VDfddJNT165dOx09etS5/9lnn+m7777zeZw33nhD0dHR8ng8F9zfp59+WosXL9bGjRsvypVF1Z06dUpDhgxRly5d9PTTT1/UxwLASbwA6iEjI0PffPONfvvb32rr1q3av3+/Vq1apXvuuUcVFRUKDw/X6NGjNXHiRK1du1Y7d+7UyJEjFRTk+7+aAQMGaN68edq+fbu2bdumsWPH+symDBs2TG3bttWQIUP0wQcf6MCBA8rJydHvfvc7ff755+fV19WrV2vSpEmaNWuW2rZtK6/XK6/Xq+Li4gYdkyr333+/Dh8+rGeffVZffvml83jVTzoG0HAIMADOW3x8vDZs2KCKigoNGjRIPXr00Pjx4xUZGemElFmzZunGG2/ULbfcotTUVN1www01zqWZPXu2EhISdOONN+quu+7Sf/3Xf6lFixZOe4sWLbR+/Xp16NBBt99+u7p27arRo0fr1KlT5z0j8+GHH6qiokJjx45VXFycc3vooYcabkCqWbdunY4ePapu3br5PN7GjRsvyuMBgc5lfvxBNAA0sJSUFPXq1UvPPPOMv7tSp4MHDyoxMVHbt2+/KD8l8HM9BhAomIEBgGquu+46XXfddQ2+3cGDB6t79+4Nvl0gUHESLwBIat++vT777DNJZ76duKG9/PLLOnnypCQ5JzgDuHB8hAQAAKzDR0gAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHX+PySbsqVTqXKvAAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"box_width = 4160 / 2\n",
"f_c = 2400\n",
"boxes = np.where(np.bitwise_and(f_c - box_width < np.abs(f), np.abs(f) < f_c + box_width), 4096, 0)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(f, np.abs(X))\n",
"ax.fill_between(f, boxes, alpha=0.3)\n",
"ax.set_xlabel(\"Frequenz [Hz]\");"
]
},
{
"cell_type": "markdown",
"id": "9ea4c83a",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Das so erzeugte Signal wird per *Frequenz-Modulation* im Satelliten-Band (137-138 MHz) übertragen."
]
},
{
"cell_type": "markdown",
"id": "35b858ed",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Wir empfangen dieses Signal mit einem *Software-Defined Radio* und Empfänger-Software, die das FM-Signal demoduliert."
]
},
{
"cell_type": "markdown",
"id": "7f01bcc4",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"**Eure Aufgabe ist es also, die Amplituden-Modulation rückgängig zu machen.**"
]
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.11.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}