{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "4bcd49a4",
"metadata": {
"nbsphinx": "hidden"
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"outputs": [],
"source": [
"%%capture\n",
"# 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",
"id": "199efcaa",
"metadata": {},
"source": [
"Implementing Beamformers\n",
"=========================\n",
"\n",
"This Jupyter notebook will outline the step-by-step process of implementing a new receiving beamformer within the HermesPy framework, using the Minimum Variance Distortionless Response (MVDR, also known as Capon) beamformer as a working example.\n",
"\n",
"As an initial step we will import all required modules:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "731daaf7",
"metadata": {},
"outputs": [],
"source": [
"from typing_extensions import override\n",
"\n",
"import numpy as np\n",
"\n",
"from hermespy.core import AntennaArrayState\n",
"from hermespy.beamforming import ReceiveBeamformer"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "32929b07",
"metadata": {},
"source": [
"The Capon beamformer estimates the power $\\hat{P}$ received from a direction $(\\theta, \\phi)$, where $\\theta$ is the zenith and $\\phi$ is the azimuth angle of interest in spherical coordinates, respectively. \n",
"Let $Y \\in \\mathbb{C}^{M \\times N}$ be the the matrix of $N$ time-discrete samples acquired by an antenna arrary featuring $M$ antennas and\n",
"\n",
"\\begin{equation}\n",
"\\mathbf{R} = \\mathbf{Y}\\mathbf{Y}^{\\mathsf{H}}\n",
"\\end{equation}\n",
"\n",
"be the respective sample correlation matrix.\n",
"The antenna array's response towards a source within its far field emitting a signal of small relative bandwidth is $\\mathbf{a}(\\theta, \\phi) \\in \\mathbb{C}^{M}$.\n",
"Then, the Capon's spatial power response is defined as \n",
"\n",
"\\begin{equation}\n",
"\\hat{P}_{\\mathrm{Capon}}(\\theta, \\phi) = \\frac{1}{\\mathbf{a}^{\\mathsf{H}}(\\theta, \\phi) \\mathbf{R}^{-1} \\mathbf{a}(\\theta, \\phi)}\n",
"\\end{equation}\n",
"\n",
"with\n",
"\n",
"\\begin{equation}\n",
"\\mathbf{w}(\\theta, \\phi) = \\frac{\\mathbf{R}^{-1} \\mathbf{a}(\\theta, \\phi)}{\\mathbf{a}^{\\mathsf{H}}(\\theta, \\phi) \\mathbf{R}^{-1} \\mathbf{a}(\\theta, \\phi)} \\in \\mathbb{C}^{M}\n",
"\\end{equation}\n",
"\n",
"being the beamforming weights to steer the sensor array's receive characteristics towards direction $(\\theta, \\phi)$, so that\n",
"\n",
"\\begin{equation}\n",
"\\tilde{\\mathbf{y}}(\\theta, \\phi) = \\mathbf{w}^\\mathsf{H}(\\theta, \\phi) \\mathbf{Y}\n",
"\\end{equation}\n",
"\n",
"are the estimated signal samples impinging onto the sensor array from said direction.\n",
"\n",
"The structure of receiving beamformers is implemented as an abstract prototype in the [ReceiveBeamformer](../api/beamforming/beamformer.rst#hermespy.beamforming.beamformer.ReceiveBeamformer).\n",
"Prototypes specify several [abstract](https://docs.python.org/3/library/abc.html#abc.abstractmethod) properties and methods which inheriting classes must implement. For receiving beamformers those are\n",
"\n",
"* num_transmit_input_streams - *Number of antenna streams the beamformer can process.*
Our Capon implementation will always require the samples of all device antennas.\n",
"\n",
"* num_receive_output_streams - *Number of antenna streams the beamformer generates after processing.*
Since the Capon beamformer focuses the power towards a single direction of interest per estimation, a single stream of samples will be generated after beamforming.\n",
"\n",
"* [num_receive_focus_angles](../api/beamforming/beamformer.rst#hermespy.beamforming.beamformer.ReceiveBeamformer.num_receive_focus_points) - *Number of angles of interest the beamformer requires for its configuration.*
The same logic as before applies, only a single direction of interest per beamforming operation is required.\n",
"\n",
"* [\\_decode()](../api/beamforming/beamformer.rst#hermespy.beamforming.beamformer.ReceiveBeamformer._decode) - *This subroutine performs the actual beamforming, given an array of baseband samples, assumed carrier frequency and the angles of interest.*
\n",
"This is where the Capon algorithm is being implemented."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "bebfb7b5",
"metadata": {},
"outputs": [],
"source": [
"class CaponBeamformer(ReceiveBeamformer):\n",
" \n",
" def __init__(self, *args, **kwargs) -> None:\n",
" \n",
" ReceiveBeamformer.__init__(self, *args, **kwargs)\n",
"\n",
" @override\n",
" def num_receive_output_streams(self, num_input_streams: int) -> int:\n",
" # The capon beaformer combies all input streams into a single output stream\n",
" return 1\n",
"\n",
" @property\n",
" @override\n",
" def num_receive_focus_points(self) -> int:\n",
" return 1\n",
"\n",
" @override\n",
" def _decode(\n",
" self,\n",
" samples: np.ndarray,\n",
" carrier_frequency: float,\n",
" angles: np.ndarray,\n",
" array: AntennaArrayState,\n",
" ) -> np.ndarray:\n",
" \n",
" # Compute the inverse sample covariance matrix R\n",
" sample_covariance = np.linalg.inv(samples @ samples.T.conj() + np.eye(samples.shape[0]))\n",
"\n",
" # Query the sensor array response vectors for the angles of interest and create a dictionary from it\n",
" dictionary = np.empty((array.num_receive_antennas, angles.shape[0]), dtype=complex)\n",
" for d, focus in enumerate(angles):\n",
" array_response = array.spherical_phase_response(carrier_frequency, focus[0, 0], focus[0, 1])\n",
" dictionary[:, d] = sample_covariance @ array_response / (array_response.T.conj() @ sample_covariance @ array_response)\n",
"\n",
" beamformed_samples = dictionary.T.conj() @ samples\n",
" return beamformed_samples[:, np.newaxis, :]"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "7c6f60ca",
"metadata": {},
"source": [
"And that's it, by specifying three properties and the decode routine a new beamformer has been implemented within HermesPy.\n",
"We can now plot the beamforming characteristics towards a signal impinging from $(\\theta = 0, \\phi = 0)$ by calling [plot_pattern](../api/simulation/antennas.SimulatedAntennaArray.rst#hermespy.simulation.antennas.SimulatedAntennaArray.plot_pattern) and compare it to the [CoventionalBeamformer](../api/beamforming/conventional.rst#hermespy.beamforming.conventional.ConventionalBeamformer):"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "943cf8ad",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"from hermespy.core import AntennaMode\n",
"from hermespy.beamforming import ConventionalBeamformer\n",
"from hermespy.simulation import SimulatedUniformArray, SimulatedIdealAntenna\n",
"\n",
"# Create a simulated uniform linear array with 8x8 antennas\n",
"carrier_frequency = 72e9\n",
"half_wavelength = 1.5e8 / carrier_frequency\n",
"array = SimulatedUniformArray(SimulatedIdealAntenna, half_wavelength, (8, 8, 1))\n",
"\n",
"# Configure beamformers\n",
"conventional = ConventionalBeamformer()\n",
"capon = CaponBeamformer()\n",
"\n",
"# Render the beamformer's characteristics\n",
"_ = array.plot_pattern(carrier_frequency, conventional, title=\"Conventional Beamformer\")\n",
"_ = array.plot_pattern(carrier_frequency, capon, title=\"Capon Beamformer\")\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "e9e4d2a7",
"metadata": {},
"source": [
"We may now use the newly created beamforming class to configure receive signal processing chains within HermesPy.\n",
"For example, within an imaging radar application simulation:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "949ea95d",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/stealth/coding/python/envs/hermes-311/lib/python3.11/site-packages/ray/_private/worker.py:2052: FutureWarning: Tip: In future versions of Ray, Ray will no longer override accelerator visible devices env var if num_gpus=0 or num_gpus=None (default). To enable this behavior and turn off this error message, set RAY_ACCEL_ENV_VAR_OVERRIDE_ON_ZERO=0\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"from scipy.constants import pi, speed_of_light\n",
"\n",
"from hermespy.core import dB, ConsoleMode\n",
"from hermespy.channel import SingleTargetRadarChannel\n",
"from hermespy.simulation import Simulation, SimulatedIdealAntenna, SimulatedUniformArray\n",
"from hermespy.radar import Radar, FMCW, ReceiverOperatingCharacteristic\n",
"\n",
"# Create a new simulation featuring a single device transmitting at 10GHz\n",
"simulation = Simulation(console_mode=ConsoleMode.SILENT)\n",
"device = simulation.scenario.new_device(\n",
" antennas=SimulatedUniformArray(SimulatedIdealAntenna, .5 * speed_of_light / 10e9, (3, 3)),\n",
" bandwidth=1e9,\n",
" oversampling_factor=1,\n",
" carrier_frequency=10e9,\n",
")\n",
"device.transmit_coding[0] = ConventionalBeamformer()\n",
"\n",
"radar_channel = SingleTargetRadarChannel(target_range=10., radar_cross_section=1., attenuate=False)\n",
"simulation.scenario.set_channel(device, device, radar_channel)\n",
"\n",
"# Configure a radar operation on the device\n",
"radar = Radar()\n",
"radar.waveform = FMCW()\n",
"radar.receive_beamformer = CaponBeamformer()\n",
"device.add_dsp(radar)\n",
"\n",
"simulation.add_evaluator(ReceiverOperatingCharacteristic(radar, device, device, radar_channel))\n",
"simulation.new_dimension('noise_level', dB(-30, -40, -50), device)\n",
"simulation.num_samples = 100\n",
"\n",
"radar.receive_beamformer.probe_focus_points = np.array([[0., 0.]])\n",
"result = simulation.run()\n",
"_ = result.plot()\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "5f1e3dde",
"metadata": {},
"source": [
"When focusing our beamformer away from the direction of the reflecting target, the target's echo signal will be attenuated, and therefore the detection probability will decrease:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "dd5b3719",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"radar.receive_beamformer.probe_focus_points = np.array([[.5*pi, .5*pi]])\n",
"result = simulation.run()\n",
"_ = result.plot()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "hermes-311",
"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": "3.11.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}