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Hyperbolic radio navigation proofs
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Hyperbolic navigation demo\n", | |
"\n", | |
"This is an extremely simple demo to illustrate some of the basic concepts. To keep the math simple, it assumes:\n", | |
"\n", | |
" * Earth is flat (planar 'pre-Galileo' model).\n", | |
" * This means we don't have to deal with the inconvenient fact that the Earth is a sphere.\n", | |
" * This is broadly similar to the [Ordnance Survey National Grid model](https://www.ordnancesurvey.co.uk/resources/maps-and-geographic-resources/the-national-grid.html).\n", | |
" * The propagation delay of the radio signal is equal to the speed of light (no correction for [velocity factor](https://en.wikipedia.org/wiki/Velocity_factor)).\n", | |
"\n", | |
"First we import some useful libraries and set the base parameters." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"import math\n", | |
"\n", | |
"## -- F1 and F2 frequencies, Hz --\n", | |
"# should be about 10% between them\n", | |
"F1 = 130000\n", | |
"F2 = 145000\n", | |
"\n", | |
"## -- Fn+ / Fn- frequency delta from centre, Hz --\n", | |
"FDELTA = 80\n", | |
"\n", | |
"## -- Transmitter baseline distance --\n", | |
"# Baseline distance between the A and B transmitters, metres\n", | |
"AB_DIST = 50e3\n", | |
"\n", | |
"## -- Universal constants --\n", | |
"# Speed of light according to https://en.wikipedia.org/wiki/Speed_of_light\n", | |
"LIGHTSPEED = 299792458 # metres per second" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"This function calculates the phase received by a nav receiver positioned 'a' metres from transmitter A and 'b' metres from transmitter B.\n", | |
"\n", | |
"The transmitter frequency is set as 'frequency'." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def phase(a, b, frequency):\n", | |
" \"\"\"\n", | |
" Calculate phase measurement given the A and B distances (in metres) and signal frequency\n", | |
" \n", | |
" a: A->RX great-circle distance, metres\n", | |
" b: B->RX great-circle distance, metres\n", | |
" frequency: nav signal frequency, Hz\n", | |
" \"\"\"\n", | |
" \n", | |
" # Calculate propagation delays\n", | |
" a_pd = a / LIGHTSPEED\n", | |
" b_pd = b / LIGHTSPEED\n", | |
" \n", | |
" # Calculate difference in path length\n", | |
" ab_t_diff = a_pd - b_pd\n", | |
" #print(\"A-B time diff \", ab_t_diff*1e6, \"us\")\n", | |
" \n", | |
" # Time per cycle\n", | |
" tcy = 1.0 / frequency\n", | |
" #print(\"tcy: \", tcy*1e6, \"us\")\n", | |
" \n", | |
" # Calculate lane count and phase offset\n", | |
" lanes = math.floor(ab_t_diff / tcy)\n", | |
" phase = (math.fmod(ab_t_diff, tcy) / tcy) * 360\n", | |
" \n", | |
" if (phase < 0.):\n", | |
" phase = phase + 360.0\n", | |
" \n", | |
" return (lanes, phase)\n", | |
" \n", | |
"#print(phase(10.4e3, 9.6e3, F1)) # 10km from A, 40km from B" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Now we plot how the phase and lane count varies based on distance from the two transmitters.\n", | |
"\n", | |
"This is distance along the baseline (the easiest to calculate because we don't have to make a triangle out of the receiver's position and solve for the length of the hypotenuse)." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"scrolled": true | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 864x144 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x144 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Show how A-B lane and phase varies over distance\n", | |
"\n", | |
"for n in (AB_DIST, AB_DIST/10):\n", | |
"\n", | |
" # create a linear space\n", | |
" x = np.linspace(1, n-1, num=1000)\n", | |
"\n", | |
" # calculate lane/phase offsets\n", | |
" ylanes = []\n", | |
" yphases = []\n", | |
" for i in x:\n", | |
" lan,pha = phase(i, AB_DIST-i, F1)\n", | |
" ylanes.append(lan)\n", | |
" yphases.append(pha)\n", | |
"\n", | |
" fig,ax1 = plt.subplots(figsize=(12,2))\n", | |
" ax1.plot(x/1e3, ylanes, 'r')\n", | |
" ax1.set_xlabel('A-RX distance (km)')\n", | |
" ax1.set_ylabel('Lane count')\n", | |
"\n", | |
" ax2 = ax1.twinx()\n", | |
" ax2.plot(x/1e3, yphases, 'b')\n", | |
" ax2.set_ylabel('Phase (deg)')\n", | |
"\n", | |
" plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The nav encoding uses a low-frequency shift on the F1 and F2 channels. When the phases of F1+/F1- or F2+/F2- are subtracted, the result is the same as measuring phase shift at a carrier frequency of 80Hz.\n", | |
"\n", | |
"This chart proves this." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x360 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x360 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# F1+/F1-\n", | |
"\n", | |
"plt.figure(figsize=(12,5))\n", | |
"\n", | |
"# at end: [+ofs array, -ofs array]\n", | |
"phases = []\n", | |
"\n", | |
"# calculate phase offset for two frequencies \n", | |
"for f in (F1+FDELTA, F1-FDELTA):\n", | |
" # create a linear space\n", | |
" x = np.linspace(-(AB_DIST/2.), AB_DIST/2., num=10000)\n", | |
"\n", | |
" ylanes = []\n", | |
" yphases = []\n", | |
" for distA in x:\n", | |
" distA = (AB_DIST/2)+distA\n", | |
" distB = AB_DIST - distA\n", | |
" lan,pha = phase(distA, AB_DIST-distA, f)\n", | |
" ylanes.append(lan)\n", | |
" yphases.append(pha)\n", | |
"\n", | |
" phases.append(yphases.copy())\n", | |
" \n", | |
" l = \"%0.2f kHz\" % f\n", | |
" plt.plot(x/1e3, yphases, label=l)\n", | |
"\n", | |
"plt.xlabel('A-RX distance from centreline (km)')\n", | |
"plt.ylabel('Phase (deg)')\n", | |
"plt.legend()\n", | |
"plt.show()\n", | |
"\n", | |
"\n", | |
"## phase difference plot\n", | |
"\n", | |
"plt.figure(figsize=(12,5))\n", | |
"\n", | |
"ym = []\n", | |
"for t in zip(phases[0], phases[1]):\n", | |
" m = t[0] - t[1]\n", | |
" if m < 0.:\n", | |
" m = m + 360.\n", | |
" ym.append(m)\n", | |
" \n", | |
"# Calculate phase shift at 2*Fdelta (aka F1+ - F1-)\n", | |
"ylfpha = []\n", | |
"for distA in x:\n", | |
" distA = (AB_DIST/2)+distA\n", | |
" distB = AB_DIST - distA\n", | |
" lan,pha = phase(distA, AB_DIST-distA, FDELTA*2)\n", | |
" ylfpha.append(pha)\n", | |
"\n", | |
"plt.plot(x/1e3, ym, label=\"F+/F- phase difference\")\n", | |
"plt.plot(x/1e3, ylfpha, label=\"FDelta phase difference\")\n", | |
"plt.xlabel('A-RX distance from centreline (km)')\n", | |
"plt.ylabel('Phase diff (deg)')\n", | |
"plt.legend()\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"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": "3.5.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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