{ "cells": [ { "cell_type": "code", "execution_count": 13, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "# Install HermesPy and its dependencies in the current kernel\n", "# When running on Colabs, a restart of the runtime is required afterwards\n", "\n", "import sys\n", "!{sys.executable} -m pip install --quiet hermespy" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Using Beamformers\n", "===============\n", "\n", "This Jupyter notebook provides an in-depth introduction to HermesPy's antenna array definition and beamforming interfaces.\n", "It showcases how to configure MIMO antenna arrays in classic and hybrid configurations, how to specify the antenna element topologies and how to configure custom antenna models within the array.\n", "Furthermore, operating conventional delay and sum beamformers on the ....\n", "\n", "Consider a classical fully digitally beamformed transmitting antenna array consisting of a planar grid of $4 \\times 4 = 16$ atennna elements located in the x-y plane of a cartesian coordinate system.\n", "From a hardware point of view, this means a dedicated digital-analog converter will feed, over its respective radio-frequency chain, each antenna element, respectively.\n", "Within Hermes, this concept is realised by AntennaPorts, which can be connected to a single antenna element or to multiple antenna elements.\n", "\n", "A digital antenna array as assumed above can described in Hermes' API by" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from itertools import product\n", "\n", "import numpy as np\n", "from scipy.constants import speed_of_light\n", "\n", "from hermespy.core import AntennaMode, Transformation\n", "from hermespy.simulation import SimulatedAntennaPort, SimulatedIdealAntenna, SimulatedCustomArray\n", "\n", "sampling_rate = 1e9\n", "carrier_frequency = 70e9\n", "wavelength = speed_of_light / carrier_frequency\n", "\n", "transmit_ports = [\n", " SimulatedAntennaPort(\n", " [SimulatedIdealAntenna(AntennaMode.TX)],\n", " Transformation.From_Translation(np.array([.5 * wavelength * x, .5 * wavelength * y, 0]))\n", " ) for x, y in product(range(4), range(4))\n", "]\n", "\n", "uniform_array = SimulatedCustomArray(transmit_ports)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "which generates an antenna array consisting of ideal istropic antenna elements spaced at half-wavelength intervals, each antenna connected to a single feeding antenna port.\n", "This topology can be visualized by calling" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Visualize the antenna array element positions in the array's local coordinate system\n", "_ = uniform_array.plot_topology()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Of course, we are not limited to uniform linear arrays, but can also define arbitrary antenna element topologies, such as a spiral configurations:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "v = .1 * wavelength\n", "w = 200 * wavelength\n", "c = .4 * wavelength\n", "\n", "spiral_ports = [\n", " SimulatedAntennaPort(\n", " [SimulatedIdealAntenna(AntennaMode.TX)],\n", " Transformation.From_Translation(\n", " np.array([(v*t + c) * np.cos(w * t), (v*t + c) * np.sin(w * t), 0]\n", " ))\n", " ) for t in range(16)\n", "]\n", "\n", "spiral_array = SimulatedCustomArray(spiral_ports)\n", "_ = spiral_array.plot_topology()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's investigate how the antenna array's radiation pattern changes with respect to the assumed antenna element topology.\n", "For this, we will initialize a new simulation environment and assign our custom antenna array to a device representing a transmitting base station / access point:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from scipy.constants import pi\n", "\n", "from hermespy.beamforming import BeamformingTransmitter, ConventionalBeamformer, SphericalFocus\n", "from hermespy.core import ConsoleMode, Signal\n", "from hermespy.simulation import Simulation\n", "\n", "# Initialize a new simulation\n", "simulation = Simulation(console_mode=ConsoleMode.SILENT, seed=42)\n", "\n", "# Create a new device and assign it the antenna array\n", "base_station_device = simulation.new_device(\n", " antennas=uniform_array,\n", " carrier_frequency=carrier_frequency,\n", " pose=Transformation.From_Translation(np.array([0, 0, 0])),\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "To probe the charcteristics, we assume a conventional delay and sum beamformer transmitting a sinusoidal probing signal over the antenna array.\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# Configure the device to transmit a beamformed sinusoidal probing signal\n", "beamformer = ConventionalBeamformer()\n", "sinusoid = Signal.Create(np.outer(np.ones(1), np.exp(2j * pi * .25 * np.arange(100))), sampling_rate, carrier_frequency)\n", "base_station_transmitter = BeamformingTransmitter(sinusoid, beamformer)\n", "base_station_transmitter.device = base_station_device" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We may now visualize the array's radiation pattern by specifiying the beamformer's transmitting focus point and calling the plot_pattern method." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Focus spherical coordinates -.75pi, .3pi\n", "beamformer.transmit_focus = SphericalFocus(-.75 * pi, .3 * pi)\n", "uniform_array.plot_pattern(carrier_frequency, beamformer)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Focus spherical coordinates 0, 0, i.e. along the z-axis\n", "beamformer.transmit_focus = SphericalFocus(0, 0)\n", "uniform_array.plot_pattern(carrier_frequency, beamformer)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's extend our simulation to evaluate our custom base station's performance in a urban communication scenario.\n", "For this purpose, we will add a device representing user equipment to be illuminated by the base station, located somewhere in the positive x-y-z quadrant of the base station's local cartesian coordinate system." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "from hermespy.core import SignalReceiver\n", "\n", "# Create a new simulated device representing user equipment\n", "user_equipment_device = simulation.new_device(\n", " carrier_frequency=carrier_frequency,\n", " pose=Transformation.From_Translation(np.array([50., 50., 100.])),\n", ")\n", "\n", "# Configure the user equipment to simply record 120 samples of any signal impinging on it\n", "user_equipment_receiver = SignalReceiver(120, sampling_rate, sinusoid.power[0])\n", "user_equipment_receiver.device = user_equipment_device" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can instruct the base station to always steer its main lobe towards the user equipment by changing the beamformer's transmit focus point to a device focus object referencing the user equipment:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from hermespy.beamforming import DeviceFocus\n", "\n", "# Focus the base station's main lobe on the user equipment\n", "beamformer.transmit_focus = DeviceFocus(user_equipment_device)\n", "\n", "# Visualize the beam pattern\n", "uniform_array.plot_pattern(carrier_frequency, beamformer)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The propagation characeristics between base station and terminal are to be modeled by 3GPP's 3D urban microcell model (street canyon):" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "from hermespy.channel import UrbanMicrocells, O2IState\n", "\n", "# Configure a line of sight street canyon channel between base station and terminal\n", "simulation.set_channel(\n", " base_station_device,\n", " user_equipment_device,\n", " UrbanMicrocells(expected_state=O2IState.LOS),\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "All of the individual parts of a physical layer simulation within Hermes are now in place.\n", "Before launching a full-scale Monte-Carlo campaign which might run for several hours we can generate single drops in order to investigate whether the signals received by the user equipment are in line with our expectations." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "Number of signal streams to be propagated does not match the number of transmitter antennas (16 != 1))", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)", "Cell \u001b[1;32mIn[24], line 5\u001b[0m\n\u001b[0;32m 2\u001b[0m on_target_focus \u001b[39m=\u001b[39m DeviceFocus(user_equipment_device)\n\u001b[0;32m 4\u001b[0m beamformer\u001b[39m.\u001b[39mtransmit_focus \u001b[39m=\u001b[39m off_target_focus\n\u001b[1;32m----> 5\u001b[0m _ \u001b[39m=\u001b[39m simulation\u001b[39m.\u001b[39;49mscenario\u001b[39m.\u001b[39;49mdrop()\n\u001b[0;32m 6\u001b[0m _ \u001b[39m=\u001b[39m user_equipment_receiver\u001b[39m.\u001b[39mreception\u001b[39m.\u001b[39msignal\u001b[39m.\u001b[39mplot(title\u001b[39m=\u001b[39m\u001b[39m'\u001b[39m\u001b[39mOff Target Reception\u001b[39m\u001b[39m'\u001b[39m)\n\u001b[0;32m 8\u001b[0m beamformer\u001b[39m.\u001b[39mtransmit_focus \u001b[39m=\u001b[39m on_target_focus\n", "File \u001b[1;32mD:\\repositories\\hermespy\\hermespy\\core\\scenario.py:906\u001b[0m, in \u001b[0;36mScenario.drop\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 902\u001b[0m _ \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mreceive_operators(drop\u001b[39m.\u001b[39moperator_inputs, cache\u001b[39m=\u001b[39m\u001b[39mTrue\u001b[39;00m)\n\u001b[0;32m 904\u001b[0m \u001b[39melse\u001b[39;00m:\n\u001b[0;32m 905\u001b[0m \u001b[39m# Generate a new drop\u001b[39;00m\n\u001b[1;32m--> 906\u001b[0m drop \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_drop()\n\u001b[0;32m 908\u001b[0m \u001b[39m# Serialize the drop to HDF if in record mode\u001b[39;00m\n\u001b[0;32m 909\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mmode \u001b[39m==\u001b[39m ScenarioMode\u001b[39m.\u001b[39mRECORD:\n", "File \u001b[1;32mD:\\repositories\\hermespy\\hermespy\\simulation\\scenario.py:704\u001b[0m, in \u001b[0;36mSimulationScenario._drop\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 701\u001b[0m device_transmissions \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mtransmit_devices()\n\u001b[0;32m 703\u001b[0m \u001b[39m# Simulate channel propagation\u001b[39;00m\n\u001b[1;32m--> 704\u001b[0m channel_propagations, channel_realizations \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mpropagate(device_transmissions)\n\u001b[0;32m 706\u001b[0m \u001b[39m# Process receptions\u001b[39;00m\n\u001b[0;32m 707\u001b[0m trigger_realizations \u001b[39m=\u001b[39m [t\u001b[39m.\u001b[39mtrigger_realization \u001b[39mfor\u001b[39;00m t \u001b[39min\u001b[39;00m device_transmissions]\n", "File \u001b[1;32mD:\\repositories\\hermespy\\hermespy\\simulation\\scenario.py:517\u001b[0m, in \u001b[0;36mSimulationScenario.propagate\u001b[1;34m(self, transmissions)\u001b[0m\n\u001b[0;32m 512\u001b[0m alpha_propagation \u001b[39m=\u001b[39m alpha_beta_sample\u001b[39m.\u001b[39mpropagate(\n\u001b[0;32m 513\u001b[0m transmissions[device_alpha_idx], InterpolationMode\u001b[39m.\u001b[39mNEAREST,\n\u001b[0;32m 514\u001b[0m )\n\u001b[0;32m 516\u001b[0m \u001b[39m# Propagate signal emitted from device beta to device alpha over the linking channel\u001b[39;00m\n\u001b[1;32m--> 517\u001b[0m beta_propagation \u001b[39m=\u001b[39m beta_alpha_sample\u001b[39m.\u001b[39;49mpropagate(\n\u001b[0;32m 518\u001b[0m transmissions[device_beta_idx], InterpolationMode\u001b[39m.\u001b[39;49mNEAREST,\n\u001b[0;32m 519\u001b[0m )\n\u001b[0;32m 521\u001b[0m \u001b[39m# Store propagtions in their respective coordinates within the propagation matrix\u001b[39;00m\n\u001b[0;32m 522\u001b[0m propagation_matrix[device_alpha_idx, device_beta_idx] \u001b[39m=\u001b[39m beta_propagation\n", "File \u001b[1;32mD:\\repositories\\hermespy\\hermespy\\channel\\channel.py:383\u001b[0m, in \u001b[0;36mChannelSample.propagate\u001b[1;34m(self, signal, interpolation_mode)\u001b[0m\n\u001b[0;32m 381\u001b[0m \u001b[39m# Assert that the signal's number of streams matches the number of antennas of the transmitter\u001b[39;00m\n\u001b[0;32m 382\u001b[0m \u001b[39mif\u001b[39;00m _signal\u001b[39m.\u001b[39mnum_streams \u001b[39m!=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mnum_transmit_antennas:\n\u001b[1;32m--> 383\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mValueError\u001b[39;00m(\n\u001b[0;32m 384\u001b[0m \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mNumber of signal streams to be propagated does not match the number of transmitter antennas (\u001b[39m\u001b[39m{\u001b[39;00m_signal\u001b[39m.\u001b[39mnum_streams\u001b[39m}\u001b[39;00m\u001b[39m != \u001b[39m\u001b[39m{\u001b[39;00m\u001b[39mself\u001b[39m\u001b[39m.\u001b[39mnum_transmit_antennas\u001b[39m}\u001b[39;00m\u001b[39m))\u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m 385\u001b[0m )\n\u001b[0;32m 387\u001b[0m \u001b[39m# Propagate signal\u001b[39;00m\n\u001b[0;32m 388\u001b[0m propagated_signal \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_propagate(_signal, interpolation_mode)\n", "\u001b[1;31mValueError\u001b[0m: Number of signal streams to be propagated does not match the number of transmitter antennas (16 != 1))" ] } ], "source": [ "off_target_focus = SphericalFocus(-.75 * pi, .3 * pi)\n", "on_target_focus = DeviceFocus(user_equipment_device)\n", "\n", "beamformer.transmit_focus = off_target_focus\n", "_ = simulation.scenario.drop()\n", "_ = user_equipment_receiver.reception.signal.plot(title='Off Target Reception')\n", "\n", "beamformer.transmit_focus = on_target_focus\n", "_ = simulation.scenario.drop()\n", "_ = user_equipment_receiver.reception.signal.plot(title='On Target Reception')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The signal plots visualizing the user equipment's reception confirm that the base station beamforming works as intended.\n", "When focusing the beamformer away from the base station, the received signal power drops significantly when compared to the case where the beamformer is focused towards the user equipment.\n", "\n", "These plots only represent a single data point of an evaluation. We can instruct HermesPy to conduct a simulation campaign evaluating the expected received signal power at the user equipment by adding the respective evaluator to the simulation." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from hermespy.core import ReceivedPowerEvaluator\n", "\n", "# Add a signal power evaluation to the simulation\n", "simulation.add_evaluator(ReceivedPowerEvaluator(user_equipment_receiver))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simulation can be instructed to dynamically switch the beamforming focus from our on-target angles to our off-target angles and collect received power estimates for each configuration by adding a simulation grid dimension configuring the beamformer's respective attribute:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from hermespy.core import dB, SamplePoint\n", "\n", "# Configure a simulation dimension varying the receive SNR\n", "snr_dimension = simulation.new_dimension(\n", " 'noise_level',\n", " dB([0, 2, 4, 8, 16, 32]),\n", " user_equipment_device,\n", ")\n", "\n", "# Configure a simulation dimension switching the beam focus\n", "focus_dimension = simulation.new_dimension(\n", " 'transmit_focus',\n", " [\n", " SamplePoint(off_target_focus, 'Off-Target'),\n", " SamplePoint(on_target_focus, 'On-Target'),\n", " ],\n", " beamformer,\n", " title='Beam Focus',\n", ")\n", "\n", "# Collect 100 drops per parameter combination\n", "simulation.num_drops = 100\n", "\n", "# Run the simulation campaign and plot the results\n", "result = simulation.run()\n", "_ = result.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, we confirmed that our beamformer will increase the power received at the user equipment by three orders of magnitude when focusing the equipment when compared to the selected off-focus angle.\n", "\n", "As a reminder, up to now we assumed a completely digitally steered antenna array.\n", "How about hybrid arrays?\n", "In this case multiple antenna elements will be connected to a single antenna port:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Generate a port topology that is digitally steered in the \n", "# x domain and has multiple antennas fed by the same port in y domain\n", "hybrid_ports = [\n", " SimulatedAntennaPort(\n", " [SimulatedIdealAntenna(AntennaMode.TX, Transformation.From_Translation(np.array([0, .5 * wavelength * y, 0]))) for y in range(4)],\n", " Transformation.From_Translation(np.array([.5 * wavelength * x, 0, 0]))\n", " ) for x in range(4)\n", "]\n", "\n", "# Assign our new toplogy to the base station\n", "hybrid_array = SimulatedCustomArray(hybrid_ports)\n", "base_station_device.antennas = hybrid_array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visually, the hybrid array's beamforming pattern looks almost identical to the fully digitally steered array's:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Visualize the array's beamforming pattern when focusing the user equipment\n", "beamformer.transmit_focus = on_target_focus\n", "_ = hybrid_array.plot_pattern(carrier_frequency, beamformer)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's alter our simulation to further investigate the pros and cons of connecting multiple antennas to a single port.\n", "For this purpose, we'll drop the SNR dimension, and instead change the antenna array model during simulation runtime to estimate the difference in the received signal power at the user equipment for each array configuration:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
┏━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓\n",
       "┃ Beam Focus  Array    RxPwr  ┃\n",
       "┡━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩\n",
       "│ Off-Target  Uniform │ 2.8 dB │\n",
       "│ Off-Target  Hybrid  │ 7.4 dB │\n",
       "│ On-Target   Uniform │ 50 dB  │\n",
       "│ On-Target   Hybrid  │ 39 dB  │\n",
       "└────────────┴─────────┴────────┘\n",
       "
\n" ], "text/plain": [ "┏━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓\n", "┃\u001b[1m \u001b[0m\u001b[1mBeam Focus\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mArray \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mRxPwr \u001b[0m\u001b[1m \u001b[0m┃\n", "┡━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩\n", "│\u001b[36m \u001b[0m\u001b[36mOff-Target\u001b[0m\u001b[36m \u001b[0m│\u001b[36m \u001b[0m\u001b[36mUniform\u001b[0m\u001b[36m \u001b[0m│ 2.8 dB │\n", "│\u001b[36m \u001b[0m\u001b[36mOff-Target\u001b[0m\u001b[36m \u001b[0m│\u001b[36m \u001b[0m\u001b[36mHybrid \u001b[0m\u001b[36m \u001b[0m│ 7.4 dB │\n", "│\u001b[36m \u001b[0m\u001b[36mOn-Target \u001b[0m\u001b[36m \u001b[0m│\u001b[36m \u001b[0m\u001b[36mUniform\u001b[0m\u001b[36m \u001b[0m│ 50 dB │\n", "│\u001b[36m \u001b[0m\u001b[36mOn-Target \u001b[0m\u001b[36m \u001b[0m│\u001b[36m \u001b[0m\u001b[36mHybrid \u001b[0m\u001b[36m \u001b[0m│ 39 dB │\n", "└────────────┴─────────┴────────┘\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Remove the SNR dimension from the simulation parameter sweep grid\n", "simulation.remove_dimension(snr_dimension)\n", "\n", "# Add a dimension switching between our the two antenna array candidates\n", "simulation.new_dimension(\n", " 'antennas',\n", " [\n", " SamplePoint(uniform_array, 'Uniform'),\n", " SamplePoint(hybrid_array, 'Hybrid'),\n", " ],\n", " base_station_device,\n", " title='Array',\n", ")\n", "\n", "simulation.num_drops = 200\n", "array_comparison = simulation.run()\n", "array_comparison.print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In summary, the result shows that a uniform digitally steered array will have higher beam gain when illuminating the user equipment and cause less interference when illuminating a different target than the hybrid array." ] } ], "metadata": { "kernelspec": { "display_name": "hermes", "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": "3.11.8" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }