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path: root/buch/papers/fm/Python animation/Bessel-FM.ipynb
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'sympy'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "\u001b[1;32m/home/joshua/Documents/SeminarSpezielleFunktionen/buch/papers/fm/Python animation/Bessel-FM.ipynb Cell 1\u001b[0m in \u001b[0;36m<cell line: 1>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> <a href='vscode-notebook-cell:/home/joshua/Documents/SeminarSpezielleFunktionen/buch/papers/fm/Python%20animation/Bessel-FM.ipynb#W0sZmlsZQ%3D%3D?line=0'>1</a>\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39msympy\u001b[39;00m \u001b[39mimport\u001b[39;00m \u001b[39m*\u001b[39m\n\u001b[1;32m      <a href='vscode-notebook-cell:/home/joshua/Documents/SeminarSpezielleFunktionen/buch/papers/fm/Python%20animation/Bessel-FM.ipynb#W0sZmlsZQ%3D%3D?line=1'>2</a>\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mnumpy\u001b[39;00m \u001b[39mas\u001b[39;00m \u001b[39mnp\u001b[39;00m\n\u001b[1;32m      <a href='vscode-notebook-cell:/home/joshua/Documents/SeminarSpezielleFunktionen/buch/papers/fm/Python%20animation/Bessel-FM.ipynb#W0sZmlsZQ%3D%3D?line=2'>3</a>\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mscipy\u001b[39;00m \u001b[39mimport\u001b[39;00m signal\n",
      "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'sympy'"
     ]
    }
   ],
   "source": [
    "from sympy import *\n",
    "import numpy as np\n",
    "from scipy import signal\n",
    "from scipy.fft import fft, ifft, fftfreq\n",
    "import scipy.special as sc\n",
    "import scipy.fftpack\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "# Use the pgf backend (must be set before pyplot imported)\n",
    "# mpl.use('pgf')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def fm(beta):\n",
    "    # Number of samplepoints\n",
    "    N = 600\n",
    "    # sample spacing\n",
    "    T = 1.0 / 1000.0\n",
    "    fc = 100.0\n",
    "    fm = 30.0\n",
    "    x = np.linspace(0.01, N*T, N)\n",
    "    #beta = 1.0\n",
    "    y_old = np.sin(fc * 2.0*np.pi*x+beta*np.sin(fm * 2.0*np.pi*x))\n",
    "    y = 0*x;\n",
    "    xf = fftfreq(N, 1 / N)\n",
    "    for k in range (-4, 4):\n",
    "        y = sc.jv(k,beta)*np.sin((fc+k*fm) * 2.0*np.pi*x)\n",
    "        yf = fft(y)/(fc*np.pi)\n",
    "        plt.plot(xf, np.abs(yf))\n",
    "    plt.xlim(-150, 150)\n",
    "    plt.show()\n",
    "    #yf_old = fft(y_old)\n",
    "    #plt.plot(xf, np.abs(yf_old))\n",
    "    #plt.show()\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+logzLOZbLllN9OiLQA/tg+4vH3+dj//tr6tTlDQNBbpUTT6MIi8GHeM58jtFszrLZdiH/mdzc0kRBbpUTcWLUoRCJ3whh3AW9Wa85RJl4AjSIe4slWxRoEtiwqHTc670pXkGpy1mM6CiznGT1xux3cKiQl/ST4EuVRfn4JdwMIWDSztFB9/5wP4EBrdH1AdheNsWz2GX7FCgS1309IUCPbR8YB56USa5OwdOlDzNftM6cbaP0z3nCpaF33dfib5UeLsVfF/o9lBnyEh6KNAlMeGwCgdTeLQ+OA+9MJS+98wbdP6PX9B96BRp8favruK9X3+iYFmpDzcYHJlHtVzC22uo54GR9FCgS9XFOWV3uHUQHqUOHilaaNWGPQDsOXamChU2jiNFc/bDs1z6QtvoTG9uG8UaoZ9ToGeVAl2qLs7RjOFgOtMbGqFHTFvMfwCMbkn3r2xBLzw00h4I9Bg99IJWjWRKuv93SEMpGKGHAv107+AIPR9i4ZAPrz8q5WfVPRPaFr2hQD89MEKv/PePeujZpUCXxBT00Eu0E2Cw5VK8szAf6L0pbyecCr3vvhJtqagReph66NmlQJcEhafklQ70fLsgPGqHwSDrixFozSbcijpd4sMN4EzwgdbTV7hdBp9j8HZfyj/0JJoCXarGgkNFI0/xGjHLpVSInerpK/jeNI/Qw+8//JdJ/j2f6/eK77/gMn7qoWeWAl3q4mxf6VkuR0/nZn2c6e0vOOKxt8K0vWZ24uzgh1d4Wxw/k98W54d8saidqZItCnSpmkqH6xfOsT6/5dLf7xw51TNwgegzfecHWZwecrMJh/ip3nOMCWbyHAk+3Ar/gomatqh56KJAlyoaOGw/xqH/pVouJ3r66HeYOXl8bnm4/ZCyEXp4FB3eEXqm5xwzp4wD4MipntyyiBF6wemINUIXFOhSRZVGhgUn5+rrZ9zoUYxpGcXBk7ngyl8YY8bkXKCdKnHAUVoCPfw+ThWM0PuYMSkf6LntcfBEbvtMHj+6oFUVdQUojdCzS4EuVVPpLH/h0Dlxto+2saOZPnkse4/mjv48HIxILy4R6Hlp2SnaV+KgIci95/a2sYxuMQ4Hgb472D4LprUV9NujtsQ57RTNLAW6VE3fQMul8kyMAyd6aG8bw8xJ4wcC683gPC1Xz54SrHP+ybhSM0LvKz1CP3D8LO1tY7h4yni6D+e2x56jpwF4+8WTOHq6d6DtEnUFKE1bzC4FulRNvncbdfrWcAAdPHmW9raxzLpwPNsPngSga98JzOD6Be3A4Mg03BPujZjl0WwKWy65UffJs30cO9PHjMnjWdDRxtZ9JwDYfvAU40aPYsH0iQAcClpU4a2sHrqAAl2qKD9CjxMoB0/0MLVtDO+YPZm9x86y68hpXuo+wvypE7hk6gXA4Mg0PCc9LS2XUicny594bObkcVw+cyJd+05w7Ewv6948zNWzp9DRNhYY/MslauezeujZpUCXqsn3biv9yX+u39l3/AwdbWN538IOAP7nqs0823WQD14+jXGjW5g2cSzb9udG7ifPnj/bpdmFP5jyLZf8+51z0Xg+dPl0+vqdv/jpJtbvPMq/WdBOx8RcoO85ev4ZJzVCF1CgSxVVGqHnQ2fHwZOc6e3nshkTWTCtjSVXzeDH63YxtnUUn7l+HpDro6/rPgLA7mCkDunpD4dPYbA3GJm/1H2YllHGopmTuXbuFN63oJ2H13QzdcIYbnv3XBZObwNg897jQGHfXPPQBaC13gVIc/pV1wHmtU9g1pTxA8vys1wiT/EahM7LO48CsGjmJAD+6hPv5Jar93HlxZOYfWGu3XL9gqn8YtNeXttzjA1vHRt4jmNnekmD8Pt49a2j9Pc7//LqHq6dO4XxY1oA+O6nOnnitb1cO/dC2oN2y5yLxrM++KCLmrYYteO4v99Zsf4tbrl6Jq0pPw1xVumnKkPm7nzye6u55Z5nCpbnR4a7S7QEct+X+3flK7tpbxvLFUGgj21tYclVM7lk6oSBdZe+42LaxrZyx49e4f8+t4NZU8Zz2fQ2dgQ7UPPWbD80cIh8o3J3nt16oGB64vYDuRksH7p8Gqu3HeJPf/QyW/ef5JPvvmRgnfFjWrjl6ou5OPSh+YHLOnhmy4GBHaOlvHXkdMnlj63dyRcffokfPrdjpG9JGlSsQDezxWa22cy6zOyOEo+PNbOHg8dXm9m8qlcqDSN/wMvhoqvt5A96eePAyfO+B3KB/sSmvTy+aS+3vmsOLWVObj61bSzf/NjVvLbnGFv3n+DOm69gfvuEgT4z5A5E+th9v+aW//2vI31LNfXwC938zndX8+ia7oFlbxw4ySiDP196JTMmj+OxtTv5eOdslr7j4rLP9an3zqPnXD93/9OGgtZWuMmS3/5tY1sLZhbtCoJ+//F0XZtVBlVsuZhZC3Av8JvATuAFM1vh7htDq30WOOzuC8zsVuAbwCdqUbDUX9QIfGPQGjl0soenX9/P+y/rKHj8a/+8kWOne1k0cxKf++BvVHydJVfN5P2XdXCu35k8fjS7Dp9m1Ya9bNp9jCtmThroJe84eIpz/V72A6Kent16EICtwYdR37l+Vm3YwzvmTGHORRfwyy/fwNHTvQM7Pcu5bPpEPv/BBdzzxJaBfQwwOCX00Mkent6yH8gdvNV96DRzg1lDadmhLNHi9NCvA7rcfRuAmT0ELAPCgb4M+LPg9mPAX5uZeaWzNUlDc3de23OcE2f7eNe8i+jvdw6e7OHJzfsG1tl77AxTLhjNyld2s3H3Mf7DBy7lZ6/s4VPff545F41n4bSJA+vOmjKeT7xrDl/40EIuGBNv903b2MH1/v21s/ibp7r43e+t5reumcXG3YO99cc37uH6Be1cMKaVw6d6WL3tEB+5cnriveLn3zjEpPGtvG36RM729bP/+FnW7jgM5FpNbWNbeWbLfrbsO8Ff/841AIxpHRUrzPP+840Lmd9+AQ+u7mbHwVzrZvkP1zJ5/GjePHiKfnfuXnYld/3jBr79xOvcdcsiJo8fzYtBHS++eZjuQ6eYMXkco1tGsefoGV7ddZQPXj6tYT8UJR6rlLlm9jFgsbv/YXD/94B3u/vtoXVeDdbZGdzfGqxzIOp5Ozs7fc2aNUMueH33EZbd+6shf58ko2PiWNydAyfO7/Fe2jGhxHcMTbjl0uxquT0u7ZiQqm2VNqu++H7eNmNi5RVLMLO17t5Z6rFEZ7mY2XJgOcDcuXOH9RxTLhhdzZJkGCaNa+W9vzGVbftPsiU4mnHc6FHccNk0WlvOH+Ft2n2MaRPHMbVtzIhfOz8zJj8MMeDYmT6efn3/iJ+7Vi4PpmdCru5qjoEvnzGRF7Yf5l3zLmSUFT7zopmT2PDWsYJ9GjdfNTPYL6Gwr6eJ42oTvXGedRcwJ3R/drCs1Do7zawVmAwcLH4id78fuB9yI/ThFHzJ1Als//rNw/lWEZFUi9NgfAFYaGbzzWwMcCuwomidFcCng9sfA36p/rmISLIqjtDdvc/MbgdWAS3A9919g5ndDaxx9xXA/wF+aGZdwCFyoS8iIgmK1chx95XAyqJld4VunwF+u7qliYjIUOhIURGRlFCgi4ikhAJdRCQlFOgiIimhQBcRSYmKh/7X7IXN9gPDPY9nOxB5WoE6Ul1D16i1qa6hUV1DM5K6LnH3jlIP1C3QR8LM1kSdy6CeVNfQNWptqmtoVNfQ1KoutVxERFJCgS4ikhLNGuj317uACKpr6Bq1NtU1NKpraGpSV1P20EVE5HzNOkIXEZEiTRPoZvZlM3Mzaw/um5ndE1yY+mUzuza07qfNbEvw9enoZx1RPV8LXvclM/u5mV3cIHV9y8xeC177x2Y2JfTYV4K6NpvZR0LLy14EvEp1/baZbTCzfjPrLHqsbnWVqDPx1wy99vfNbF9wBbD8sovM7PHgd+ZxM7swWB75e1aDuuaY2ZNmtjH4Gf5xI9RmZuPM7HkzWx/U9efB8vmWu1h9l+UuXj8mWJ7oxezNrMXM1pnZTxOry90b/ovcxTNWkZu33h4sWwL8jNwFYN4DrA6WXwRsC/69MLh9YQ1qmhS6/Z+A+xqkrn8LtAa3vwF8I7i9CFgPjAXmA1vJnQ65Jbh9KTAmWGdRDeq6Angb8BTQGVpe17qKakz8NYte//3AtcCroWXfBO4Ibt8R+nmW/D2rUV0zgWuD2xOB14OfW11rC56/Lbg9GlgdvN4jwK3B8vuA/xjc/lzo/+mtwMM1/nl+CfgH4KfB/ZrX1Swj9L8C/pTBK49B7sLUP/Cc54ApZjYT+AjwuLsfcvfDwOPA4moX5O7HQncnhGqrd10/d/e+4O5z5K4wla/rIXc/6+5vAF3kLgA+cBFwd+8B8hcBr3Zdm9x9c4mH6lpXkXq85gB3f5rc9QTClgF/H9z+e+DfhZaX+j2rRV273f3F4PZxYBMwq961Bc9/Irg7Ovhy4EPkLlZfqq58vY8BHzazmlwV28xmAzcD3wvuWxJ1NXygm9kyYJe7ry96aBbQHbq/M1gWtbwWtf2FmXUDnwTy54eve10hf0BupNRodYU1Ul313halTHf33cHtPcD04HZdag3aAdeQGw3XvbagrfESsI/cIGkrcCQ0qAm/9kBdweNHgam1qAv4NrlBaH9wf2oSdSV6kegoZvYLYEaJh+4E/iu5NkLiytXl7v/o7ncCd5rZV4Dbga82Ql3BOncCfcADSdQUty4ZPnd3M6vbtDQzawN+BHzR3Y+FB5H1qs3dzwHvDPYV/Ri4POkaipnZLcA+d19rZjck+doNEejufmOp5WZ2Fbm+6vrgl2c28KKZXUf0xat3ATcULX+qmnWV8AC5Kzp9tRHqMrPfB24BPuxBY65MXZRZXtW6ItS8rirVUi97zWymu+8O2hb7guWJ1mpmo8mF+QPu/v8aqTYAdz9iZk8C7yXX4mkNRrvh1451MfsquB5YamZLgHHAJOB/JVJXLXcKVPsL2M7gTtGbKdzx8nyw/CLgDXI7Hi8Mbl9Ug1oWhm5/AXisQepaDGwEOoqWX0nhzsdt5HYCtga35zO4I/DKGv4Mn6Jwp2hD1BXUkvhrlqhhHoU7Rb9F4Y7Hb5b7PatRTQb8APh20fK61gZ0AFOC2+OBZ8gNZB6lcOfj54Lbn6dw5+MjCfw8b2Bwp2jN60rsF7VKG2c7g4FuwL3kemavFIXEH5DbudYFfKZGtfwIeBV4GfgnYFaD1NVFrh/3UvB1X+ixO4O6NgM3hZYvITdzYSu59kgt6votcn3Ds8BeYFUj1FWizsRfM/TaDwK7gd5gW32WXC/1CWAL8AuCQUC537Ma1PU+cjsbXw79Xi2pd23A1cC6oK5XgbuC5ZcCzwf/Fx4FxgbLxwX3u4LHL03gZ3oDg4Fe87p0pKiISEo0/CwXERGJR4EuIpISCnQRkZRQoIuIpIQCXUQkJRToIiIpoUAXEUkJBbqISEr8f7DBJ3GnZJ8oAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Number of samplepoints\n",
    "N = 800\n",
    "# sample spacing\n",
    "T = 1.0 / N\n",
    "x = np.linspace(0.01, N*T, N)\n",
    "\n",
    "y_old = np.sin(100* 2.0*np.pi*x+1*np.sin(15* 2.0*np.pi*x))\n",
    "yf_old = fft(y_old)/(100*np.pi)\n",
    "xf = fftfreq(N, 1 / N)\n",
    "plt.plot(xf, np.abs(yf_old))\n",
    "#plt.xlim(-150, 150)\n",
    "plt.show()\n",
    "\n",
    "fm(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.44605905843961724\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "for n in range (-1,7):\n",
    "    x = np.linspace(-11,16,1000)\n",
    "    y = sc.jv(n,x)\n",
    "    plt.plot(x, y, '-',label='n='+str(n))\n",
    "#plt.plot([1,1],[sc.jv(0,1),sc.jv(-1,1)],)\n",
    "plt.xlim(-5,15)\n",
    "plt.grid(True)\n",
    "plt.ylabel('Bessel $J_n(\\\\beta)$')\n",
    "plt.xlabel(' $ \\\\beta $ ')\n",
    "plt.plot(x, y)\n",
    "plt.legend()\n",
    "#plt.show()\n",
    "plt.savefig('bessel.pgf', format='pgf')\n",
    "print(sc.jv(2,2.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0,0.1,2000)\n",
    "ratio = 2\n",
    "first = 1\n",
    "(length,)  = x.shape\n",
    "slop = int(length/6)\n",
    "second = ratio-first\n",
    "odd = ratio % 2\n",
    "\n",
    "first = int(first * length/ratio) \n",
    "second = int( second * length/ratio) + odd\n",
    "slop = np.array(np.append(np.zeros(first-slop) , (np.arange(slop))/slop))\n",
    "#steep = np.ones(int(first * length/ratio)+ odd) - np.exp(-np.arange(int(first * length/ratio) + odd)/200)\n",
    "steep = (np.ones(first) + slop)*0.5\n",
    "\n",
    "step = np.append(steep,  np.ones(second))\n",
    "m = np.sin(5 * 2.0 * np.pi * x) * step \n",
    "plt.plot(x, step, '-')\n",
    "plt.plot(x, m, '-')\n",
    "plt.savefig('m_t.pgf', format='pgf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "y = (np.sin(20 * 2.0*np.pi*x)+np.sin(5* 2.0*np.pi*x)+np.sin(2* 2.0*np.pi*x))/3\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Nat Modulationsarten"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = np.linspace(0,2,5000)\n",
    "\n",
    "# m(t)\n",
    "k = 0.25\n",
    "dc = 0.25\n",
    "f1 = 1\n",
    "f2 = 1.4\n",
    "\n",
    "# x_c(t)\n",
    "fc = 10\n",
    "kp = 1.5 * 2 * np.pi\n",
    "kf = 15\n",
    "\n",
    "m = dc + k* np.cos(2*np.pi*f1*t) + k*np.sin(2*np.pi*f2*t)\n",
    "\n",
    "AM = 2* m* np.cos(2* np.pi *fc*t)\n",
    "\n",
    "PM = 1* np.cos(2* np.pi * fc*t+kp*m)\n",
    "\n",
    "dt= t[1]-t[0]\n",
    "phi = kp * m\n",
    "phidt = np.gradient(phi,dt)\n",
    "FM = 1* (np.cos(2 *np.pi *fc *t + phidt))\n",
    "plt.plot(t, m, '-')\n",
    "#plt.plot(t, AM,'b')\n",
    "plt.plot(t,PM)\n",
    "plt.plot(t,FM)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1"
  },
  "kernelspec": {
   "display_name": "Python 3.8.10 64-bit",
   "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": "3.8.10"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}