{ "cells": [ { "cell_type": "markdown", "id": "7611b21d", "metadata": {}, "source": [ "# Comparing Antenna Panel Calculations with Matlab\n", "Compare the results with the equivalent Matlab code \"MatlabFiles/AntennaPanel.mlx\". [Here](MatlabFiles/AntennaPanel.html) is the execution results of this code in Matlab." ] }, { "cell_type": "code", "execution_count": 1, "id": "efec1d0e", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.io\n", "import time\n", "\n", "import neoradium as nr\n", "# Note: See the \"AntennaPanel.mlx\" file in the \"MatlabFiles\" directory and compare with the \n", "# following results." ] }, { "cell_type": "code", "execution_count": 2, "id": "0b128508", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We first create an antenna element template. The antenna panel class \"AntennaPanel\" uses this\n", "# template to create the elements of the panel.\n", "elementTemplate = nr.AntennaElement(beamWidth=[65,65], maxAttenuation=30)\n", "\n", "# Now we can create the antenna panel using the antenna element template. Note that the spacing between the\n", "# elements is 0.5𝜆 by default.\n", "panel = nr.AntennaPanel([4,4], elements=elementTemplate, polarization=\"+\")\n", "\n", "# The \"showElements\" method draws the antenna panel showing all the elements.\n", "panel.showElements(zeroTicks=True)\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "4cd1fb53", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(np.float64(1.3461163449353218e-16),\n", " np.float64(56.83750173730888),\n", " array([53.76686552, 54.85766752, 55.71739482, 56.33761657, 56.71222024,\n", " 56.83750174, 56.71222024, 56.33761657, 55.71739482, 54.85766752]))" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Depending on the input parameters the \"drawRadiation\" method can create different types of graphs. Here\n", "# we draw the Field values of the antenna panel at the horizontal plane of zero elevation.\n", "radValues = panel.drawRadiation(theta=90, viewAngles=(90,0), radiationType=\"Field\", normalize=False)\n", "\n", "# We can print a selected portion of the field values returned by this function and compare the results\n", "# with Matlab.\n", "radValues.min(),radValues.max(),radValues[175:185]" ] }, { "cell_type": "markdown", "id": "8b0326c5", "metadata": {}, "source": [ "Expected (from Matlab):\n", "```\n", "array([53.76686552, 54.85766752, 55.71739482, 56.33761657, 56.71222024,\n", " 56.83750174, 56.71222024, 56.33761657, 55.71739482, 54.85766752]))\n", "```" ] }, { "cell_type": "code", "execution_count": 4, "id": "e6124e66", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(np.float64(2.584305117453359e-16),\n", " np.float64(56.83750173730888),\n", " array([7.77330424, 7.94472821, 8.03364825, 8.04789381, 7.99526854,\n", " 7.88346163, 7.71996913, 7.51202565, 7.26654655, 6.99008022]))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Here the \"drawRadiation\" method is used to draw the Field values in the vertical plane at azimuth angle 0.\n", "radValues = panel.drawRadiation(phi=0, radiationType=\"Field\", normalize=False)\n", "\n", "# Print a selected portion of the field values and compare the results with Matlab. \n", "radValues.min(),radValues.max(),radValues[130:140]" ] }, { "cell_type": "markdown", "id": "2d2f27f4", "metadata": {}, "source": [ "Expected (from Matlab):\n", "```\n", "array([7.77330424, 7.94472821, 8.03364825, 8.04789381, 7.99526854,\n", " 7.88346163, 7.71996913, 7.51202565, 7.26654655, 6.99008022]))\n", "```" ] }, { "cell_type": "code", "execution_count": 5, "id": "e9ba94d1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Time: 2.7155697345733643\n" ] }, { "data": { "text/plain": [ "(np.float64(-120.0),\n", " np.float64(17.867890470891137),\n", " array([17.38548524, 17.55993762, 17.6950069 , 17.79116026, 17.84872386,\n", " 17.86789047, 17.84872386, 17.79116026, 17.6950069 , 17.55993762]))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Here the \"drawRadiation\" method is used to draw a 3D graph of directivity.\n", "t0 = time.time()\n", "radValues = panel.drawRadiation(radiationType=\"Directivity\", normalize=True, viewAngles=(60,10))\n", "print(\"Time:\", time.time()-t0)\n", "# Print a selected portion of the directivity values and compare the results with Matlab. \n", "radValues.min(),radValues.max(),radValues[85:95,180]" ] }, { "cell_type": "markdown", "id": "decb26eb", "metadata": {}, "source": [ "Expected (from Matlab):\n", "```\n", "array([17.38548524, 17.55993762, 17.6950069 , 17.79116026, 17.84872386,\n", " 17.86789047, 17.84872386, 17.79116026, 17.6950069 , 17.55993762]))\n", "```" ] }, { "cell_type": "code", "execution_count": 6, "id": "af2732b0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of Directivity results: (180, 360)\n", "Maximum difference between the results: 1.6200374375330284e-11\n" ] } ], "source": [ "# Comparing the directivity calculations with Matlab\n", "directivity = panel.getDirectivity()\n", "\n", "# Read the file created by Matlab for \"directivity\" values\n", "directivityMatlab = scipy.io.loadmat('MatlabFiles/PanelDirectivity.mat')['directivity']\n", "directivityMatlab = directivityMatlab[:-1,:-1]\n", "directivityMatlab = np.maximum(-120, directivityMatlab) # We clip the minumum to -120 db (linearly to 1e-12)\n", "assert directivityMatlab.shape==directivity.shape\n", "print(\"Shape of Directivity results:\", directivity.shape)\n", "print(\"Maximum difference between the results:\", np.abs(directivity-directivityMatlab).max())\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "9c1059e8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of Field values: (180, 360)\n", "Maximum difference between the results: 4.263256414560601e-14\n" ] } ], "source": [ "# Comparing the field calculations with Matlab\n", "field = panel.getField()\n", "\n", "# Read the file created by Matlab for \"field\" values\n", "fieldMatlab = scipy.io.loadmat('MatlabFiles/PanelField.mat')['field']\n", "fieldMatlab = fieldMatlab[:-1,:-1]\n", "assert fieldMatlab.shape==field.shape\n", "print(\"Shape of Field values:\", field.shape)\n", "print(\"Maximum difference between the results:\", np.abs(field-fieldMatlab).max())\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "0fb65477", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of power values: (180, 360)\n", "Maximum difference between the results: 1.6186163520615082e-11\n" ] } ], "source": [ "# Comparing the power calculations with Matlab\n", "powerDb = panel.getPowerPatternDb()\n", "\n", "# Read the file created by Matlab for \"powerDb\" values\n", "powerDbMatlab = scipy.io.loadmat('MatlabFiles/PanelPowerDb.mat')['powerDb']\n", "powerDbMatlab = powerDbMatlab[:-1,:-1]\n", "powerDbMatlab = np.maximum(-120, powerDbMatlab) # We clip the minumum to -120 db (linearly to 1e-12)\n", "assert powerDbMatlab.shape==powerDb.shape\n", "print(\"Shape of power values:\", powerDb.shape)\n", "print(\"Maximum difference between the results:\", np.abs(powerDb-powerDbMatlab).max())\n" ] }, { "cell_type": "code", "execution_count": null, "id": "d04518ee", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.6" } }, "nbformat": 4, "nbformat_minor": 5 }