m-thesis-introduction/simulations/03_emitter_receiver_simulat...

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Emitter/Receiver Simulation with Signals"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import os\n",
"import sys\n",
"# Append parent directory to import path so lib can be found\n",
"sys.path.append(os.path.dirname(os.path.abspath(os.getcwd())))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Signal"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from lib import TravelSignal\n",
"\n",
"####\n",
"from scipy.stats import norm\n",
"\n",
"sample_rate = 3e2 # Hz\n",
"interp_sample_rate = sample_rate * 1/10 # Hz\n",
"\n",
"t_offset = 8\n",
"periodic = False\n",
"\n",
"time = t_offset + np.arange(0, 1, 1/sample_rate) #s\n",
"time2 = t_offset + np.arange(-1.5, 1, 1/sample_rate) #s\n",
"\n",
"signal = norm.pdf(time, time[len(time)//2], (time[-1] - time[0])/10)\n",
"\n",
"if True:\n",
" mysignal = TravelSignal(signal, sample_rate, t_0 = t_offset, periodic=True)\n",
" mysignal2 = TravelSignal(signal, sample_rate, t_0 = t_offset, periodic=False)\n",
"\n",
" fig, ax = plt.subplots(1, 1, figsize=(16,4))\n",
" ax.set_title(\"Raw and TravelSignal\")\n",
" ax.set_ylabel(\"Amplitude\")\n",
" ax.set_xlabel(\"Time\")\n",
"\n",
" ax.plot(time, signal, label='Raw signal')\n",
" ax.plot(time2, mysignal(time2)+0.5, '.-', label='TravelSignal(periodic)+0.5')\n",
" ax.plot(time2, mysignal2(time2)-0.5, '.-', label='TravelSignal-0.5')\n",
"\n",
" ax.legend()\n",
"\n",
" plt.show();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## New code"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from lib.location import Receiver, Emitter"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Testing"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"if True:\n",
" sample_rate = 3e2 # Hz\n",
" periodic = False\n",
" \n",
" t_offset = -0.5\n",
" t_start = 0\n",
" t_end = 1\n",
" time = t_offset + np.arange(t_start, t_end, 1/sample_rate) #s\n",
"\n",
"if False:\n",
" if True:\n",
" periodic = True\n",
" freq = sample_rate/8\n",
" signal = np.cos(2*np.pi*freq*time)\n",
" else: \n",
" from scipy.stats import norm\n",
" signal = norm.pdf(time, time[len(time)//2], (time[-1] - time[0])/10)\n",
"\n",
"\n",
"#####\n",
"# Setup Signal, Emitter and Antennae\n",
"\n",
"rot = lambda phi=0.12345: np.cos(np.array([phi, phi-np.pi/2]))\n",
"\n",
"km=1e7\n",
"\n",
"mysignal = TravelSignal(signal, sample_rate, t_0 = t_offset, periodic=periodic)\n",
"\n",
"source = Emitter([0,0,9])*km\n",
"emitted = source.emit(mysignal)\n",
"\n",
"antennae = [\n",
" Receiver((*2*km*rot(0),8)),\n",
" Receiver((*3*km*rot(2), 4)),\n",
" Receiver((*10*km*rot(1), 7)),\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 144x144 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"########\n",
"### Geometry Plot\n",
"########\n",
"ylabel_kw = {\"rotation\": \"horizontal\", \"va\":\"center\", \"ha\":\"center\", \"labelpad\": 30}\n",
"\n",
"fig, axs = plt.subplots(1,1, figsize=(2,2))\n",
"axs = [ axs ]\n",
"i = 0\n",
"axs[i].grid()\n",
"axs[i].set_title(\"Geometry of Emitter(s) and Antennae\")\n",
"axs[i].set_ylabel(\"y (m)\", **ylabel_kw)\n",
"axs[i].set_xlabel(\"x (m)\")\n",
"axs[i].plot(*source.x, '*', label=\"Emitter\")\n",
"\n",
"for j, ant in enumerate(antennae):\n",
" axs[i].plot(*ant.x, '+', label=\"Antenna {}\".format(j))\n",
"\n",
"# make it a square plot\n",
"axs[i].set_aspect('equal', 'datalim')\n",
"axs[i].margins(0.1)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"t_longoffset = t_offset\n",
"t_longstart = t_start\n",
"t_longend = 2*t_end\n",
"longtime = t_longoffset + np.arange(t_longstart, t_longend, 1/sample_rate) #s\n",
"\n",
"########\n",
"### Plot Traces\n",
"########\n",
"\n",
"fig, axs = plt.subplots(1+len(antennae),1, sharex=True, figsize=(12,6), gridspec_kw={\"hspace\":0})\n",
"axs[0].set_title(\"Traces of Emitter and Antennae\")\n",
"\n",
"# Emitter\n",
"i = 0\n",
"axs[i].set_ylabel(\"Emitter\\n at ({})\".format(source.x), **ylabel_kw)\n",
"axs[i].set_xlabel(\"Time (s)\")\n",
"axs[i].plot(time, emitted(time))\n",
"axs[i].plot(longtime, emitted(longtime))\n",
"\n",
"# Antenna\n",
"for j, ant in enumerate(antennae):\n",
" i +=1\n",
" axs[i].set_ylabel(\"Antenna {}\\n at ({})\".format(j, ant.x), **ylabel_kw)\n",
" axs[i].plot(longtime, ant.recv(emitted)(longtime), label=\"Antenna {}\".format(j))\n",
" axs[i].set_xlabel(\"Time (s)\")\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"import matplotlib.pyplot as plt\n",
"from lib.sampling import Digitizer\n",
"\n",
"digit = Digitizer(sampling_frequency=1e1, resolution=0.5)\n",
"\n",
"analog_samples = int(1e3)\n",
"analog_time = np.linspace(0, 10, analog_samples)\n",
"analog_signal = lambda t: np.cos(-t**2/6)\n",
"\n",
"sample_time = digit.sample(analog_time, analog_samples)\n",
"quantised_signal = digit.digitise(analog_signal(sample_time))\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.set_xlabel(\"Time\")\n",
"ax.set_ylabel(\"Amplitude\")\n",
"ax.set_title(\"Digitised signals\")\n",
"\n",
"ax.plot(analog_time, analog_signal(analog_time), 'y', label='Analog')\n",
"ax.plot(sample_time, quantised_signal)\n",
"ax.scatter(sample_time, quantised_signal)\n",
"\n",
"plt.show();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Combination Antennae and Digitizers"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"digit = Digitizer(sampling_frequency=1e1, resolution=0.5)\n",
"\n",
"########\n",
"### Plot Traces\n",
"########\n",
"\n",
"fig, axs = plt.subplots(1+len(antennae),1, sharex=True, figsize=(12,6), gridspec_kw={\"hspace\":0})\n",
"axs[0].set_title(\"Traces of Emitter and Antennae (digitised)\")\n",
"\n",
"# Emitter\n",
"i = 0\n",
"axs[i].set_ylabel(\"Emitter\\n at ({})\".format(source.x), **ylabel_kw)\n",
"axs[i].set_xlabel(\"Time (s)\")\n",
"axs[i].plot(time, digit.digitise(emitted(time)))\n",
"axs[i].plot(longtime, emitted(longtime))\n",
"\n",
"# Antenna\n",
"for j, ant in enumerate(antennae):\n",
" i +=1\n",
" axs[i].set_ylabel(\"Antenna {}\\n at ({})\".format(j, ant.x), **ylabel_kw)\n",
" axs[i].plot(longtime, digit.digitise(ant.recv(emitted)(longtime)), label=\"Digitised Antenna {}\".format(j))\n",
" axs[i].set_xlabel(\"Time (s)\")\n",
" "
]
}
],
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}