{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculate path propagation/attenuation according to ITU-R P.452 (16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## License\n",
    "\n",
    "```\n",
    "Calculate path propagation/attenuation according to ITU-R P.452 (16).\n",
    "Copyright (C) 2015+  Benjamin Winkel (bwinkel@mpifr.de)\n",
    "\n",
    "This program is free software; you can redistribute it and/or\n",
    "modify it under the terms of the GNU General Public License\n",
    "as published by the Free Software Foundation; either version 2\n",
    "of the License, or (at your option) any later version.\n",
    "\n",
    "This program is distributed in the hope that it will be useful,\n",
    "but WITHOUT ANY WARRANTY; without even the implied warranty of\n",
    "MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the\n",
    "GNU General Public License for more details.\n",
    "\n",
    "You should have received a copy of the GNU General Public License\n",
    "along with this program; if not, write to the Free Software\n",
    "Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from pycraf import pathprof\n",
    "from pycraf import conversions as cnv\n",
    "from astropy import units as u"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Doing generic studies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For spectrum compatibility studies on the ITU-R level, it is often necessary to do so-called generic studies. These are analyzing compatibility for the smooth-Earth scenario, i.e., assuming the terrain to be completely flat."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Producing the zero-height profile\n",
    "This is obviously trivial. We just produce a zero-filled numpy array and an appropriate distance vector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "distances = np.arange(0., 100., 0.05)  # 100 km in steps of 50-m\n",
    "zero_hprof = np.zeros_like(distances)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As for the [terrain-based height profile](https://github.com/bwinkel/pycraf/blob/master/notebooks/03a_path_propagation_basic.ipynb), we first create a `PathProp` instance and call the `loss_complete` function afterwards. Since we use a custom height profile, the Tx/Rx coordinates are not relevant, but since the constructor wants to have a number, we will just feed in dummy values. We will also provide values for $\\Delta N$ and $N_0$, the radiometerological parameters, as the P.452 algorithm needs them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "lon_t, lon_r = 0 * u.deg, 0 * u.deg\n",
    "lat_t, lat_r = 50 * u.deg, 50 * u.deg\n",
    "h_tg, h_rg = 10 * u.m, 50 * u.m  # Tx will be within clutter\n",
    "G_t, G_r = 10. * cnv.dBi, 0. * cnv.dBi\n",
    "\n",
    "frequency = 10 * u.GHz\n",
    "temperature = 293.15 * u.K\n",
    "pressure = 1013. * u.hPa\n",
    "\n",
    "time_percent = 2 * u.percent\n",
    "DN, N0 = 38. * cnv.dimless / u.km, 324. * cnv.dimless\n",
    "\n",
    "zone_t, zone_r = pathprof.CLUTTER.URBAN, pathprof.CLUTTER.UNKNOWN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "pprop = pathprof.PathProp(\n",
    "    frequency,\n",
    "    temperature, pressure,\n",
    "    lon_t, lat_t,\n",
    "    lat_t, lat_r,\n",
    "    h_tg, h_rg,\n",
    "    30. * u.m,  # dummy height resolution\n",
    "    time_percent,\n",
    "    zone_t=zone_t, zone_r=zone_r,\n",
    "    delta_N=DN, N0=N0,\n",
    "    hprof_dists=distances * u.km,\n",
    "    hprof_heights=zero_hprof * u.m,\n",
    "    hprof_bearing=90 * u.deg,  # have to provide dummy bearings\n",
    "    hprof_backbearing=-90 * u.deg,\n",
    "    )\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The next step is to feed the `PathProp` object into the attenuation function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "L_b0p:    153.89 dB - Free-space loss\n",
      "L_bd:     200.98 dB - Basic transmission loss associated with diffraction\n",
      "L_bs:     197.07 dB - Tropospheric scatter loss\n",
      "L_ba:     174.22 dB - Ducting/layer reflection loss\n",
      "L_b:      174.22 dB - Complete path propagation loss\n",
      "L_b_corr: 190.32 dB - As L_b but with clutter correction\n",
      "L:        180.32 dB - As L_b_corr but with gain correction\n"
     ]
    }
   ],
   "source": [
    "tot_loss = pathprof.loss_complete(pprop, G_t, G_r)\n",
    "(L_b0p, L_bd, L_bs, L_ba, L_b, L_b_corr, L) = tot_loss\n",
    "print('L_b0p:    {0.value:5.2f} {0.unit} - Free-space loss'.format(L_b0p))\n",
    "print('L_bd:     {0.value:5.2f} {0.unit} - Basic transmission loss associated with diffraction'.format(L_bd))\n",
    "print('L_bs:     {0.value:5.2f} {0.unit} - Tropospheric scatter loss'.format(L_bs))\n",
    "print('L_ba:     {0.value:5.2f} {0.unit} - Ducting/layer reflection loss'.format(L_ba))\n",
    "print('L_b:      {0.value:5.2f} {0.unit} - Complete path propagation loss'.format(L_b))\n",
    "print('L_b_corr: {0.value:5.2f} {0.unit} - As L_b but with clutter correction'.format(L_b_corr))\n",
    "print('L:        {0.value:5.2f} {0.unit} - As L_b_corr but with gain correction'.format(L))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is also interesting to study the attenuation effects as a function of distance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# have to avoid the first few pixels, as each profile needs to have at\n",
    "# least 5 or so values for the algorithm to work\n",
    "\n",
    "# store attenuations in a numpy record for convenience (without units!)\n",
    "attens = np.zeros(\n",
    "    distances.shape, \n",
    "    dtype=np.dtype([\n",
    "        ('LOS', 'f8'), ('Diffraction', 'f8'), ('Troposcatter', 'f8'), \n",
    "        ('Ducting', 'f8'), ('Total', 'f8'),\n",
    "        ('Total w. clutter', 'f8'), ('Total w. clutter/gain', 'f8')\n",
    "        ])\n",
    "    )\n",
    "attens[:5] = 1000.  # dB; initialize to huge value \n",
    "\n",
    "for idx in range(5, len(distances)):\n",
    "\n",
    "    pprop = pathprof.PathProp(\n",
    "        frequency,\n",
    "        temperature, pressure,\n",
    "        lon_t, lat_t,\n",
    "        lat_t, lat_r,\n",
    "        h_tg, h_rg,\n",
    "        30. * u.m,  # dummy height resolution\n",
    "        time_percent,\n",
    "        zone_t=zone_t, zone_r=zone_r,\n",
    "        delta_N=DN, N0=N0,\n",
    "        hprof_dists=distances[:idx] * u.km,\n",
    "        hprof_heights=zero_hprof[:idx] * u.m,\n",
    "        hprof_bearing=90 * u.deg,  # have to provide dummy bearings\n",
    "        hprof_backbearing=-90 * u.deg,\n",
    "        )\n",
    "    \n",
    "    tot_loss = pathprof.loss_complete(pprop, G_t, G_r)\n",
    "    attens[idx] = tuple(u.Quantity(tot_loss).value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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JDMw771iB7C9/sa5zcqwRsxtusPYlG8VM06S5uZmamprIMX36dE444QQA/vjHP/KjH/2I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\nbpsyZQpbt27t8/i0tDSmTJnCpEmTKCwsDEbAenLZZZcNp8uHDJ5yDw2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A1+vltNNO4+ST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RQcLMAWZiPsv8MwXE7/q9k0TZ5//nnefPNNAF544QUmTZqEi8v5OzVezQoKCli7di0rVqxg1apV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\nqTATERERERGJs/8HKWV/Pud6mdoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f996ef88978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "fig = plt.figure(figsize=(14, 8))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "for (name, style) in zip(\n",
    "        attens.dtype.names, \n",
    "        ['b-', 'r-', 'c-', 'm-', 'g-', 'k-.', 'k-']\n",
    "        ):\n",
    "    ax.plot(distances[5:], attens[name][5:], style, label=name, lw=2)\n",
    "\n",
    "ax.legend(\n",
    "    *ax.get_legend_handles_labels(), \n",
    "    loc='lower right', fontsize=8, handlelength=3\n",
    "    )\n",
    "ax.set_xlim((0, 100))\n",
    "ax.set_ylim((80, 220))\n",
    "ax.set_xlabel('Distance [km]')\n",
    "ax.set_ylabel('Path attenuation [dB]')\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "With this, it is easy to see at which distance diffraction kicks in (at about 58 km), because the `L_bd` term shows a sharp bend at this point."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Again, pycraf has a function to do exactly this with less effort and improved computing speed:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "distance = 100 * u.km\n",
    "hprof_step = 50 * u.m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "hprof_data = pathprof.height_path_data_generic(\n",
    "    distance, hprof_step, lon_t, lat_t,\n",
    "    zone_t=pathprof.CLUTTER.URBAN, zone_r=pathprof.CLUTTER.SUBURBAN,\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "results = pathprof.atten_path_fast(\n",
    "    frequency, temperature, pressure,\n",
    "    h_tg, h_rg, time_percent,\n",
    "    hprof_data,\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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madIcDG51BKumh8Dl30q3waSYGLKcTrIcDvZyuzkoKYlMh4OsSNjK6nSc4XDgUJdB6c/+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\niO4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f996ee77470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "fig = plt.figure(figsize=(14, 8))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "for key, name, style in zip(\n",
    "        ['L_b0p', 'L_bd', 'L_bs', 'L_ba', 'L_b', 'L_b_corr'],\n",
    "        attens.dtype.names[:-1], \n",
    "        ['b-', 'r-', 'c-', 'm-', 'g-', 'k-.']\n",
    "        ):\n",
    "    ax.plot(\n",
    "        hprof_data['distances'][5:],\n",
    "        results[key][5:],\n",
    "        style, label=name\n",
    "        )\n",
    "\n",
    "ax.legend(\n",
    "    *ax.get_legend_handles_labels(), \n",
    "    loc='lower right', fontsize=8, handlelength=3\n",
    "    )\n",
    "ax.set_xlim((0, 100))\n",
    "ax.set_ylim((80, 220))\n",
    "ax.set_xlabel('Distance [km]')\n",
    "ax.set_ylabel('Path attenuation [dB]')\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  }
 ],
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