{ "cells": [ { "cell_type": "markdown", "id": "eddda13d", "metadata": {}, "source": [ "# Channel timing\n", "This notebooks studies the timing characteristics of a CDL channel model. The same principals also apply to TDL channel models." ] }, { "cell_type": "code", "execution_count": 1, "id": "92baf17d", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.io\n", "import time\n", "\n", "from neoradium import CdlChannel, AntennaPanel, random" ] }, { "cell_type": "code", "execution_count": 2, "id": "ad3523a1", "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Execution Time (Linear): 0.1457\n", "Execution Time (Polar): 0.2356\n", "Execution Time (Nearest): 0.0185\n", "Execution Time (Matlab): 0.0185\n" ] }, { "data": { "image/png": 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", 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "speedKmh = 15 # speed of UE device: 15 km/h\n", "speed = speedKmh*1000/3600\n", "c = 299792458 # Speed of light\n", "f = 4e9 # 4 GHz\n", "d = speed*f/c # Doppler Shift\n", "\n", "gains = []\n", "\n", "# Trying different timing methods\n", "for timingMethod in ['Linear', 'Polar', 'Nearest', 'Matlab']:\n", " channel = CdlChannel('C', delaySpread=10, carrierFreq=f, dopplerShift=d,\n", " txAntenna = AntennaPanel([2,2], polarization=\"x\", matlabOrder=True),\n", " rxAntenna = AntennaPanel([1,1], polarization=\"+\", matlabOrder=True),\n", " txAntennaOrientation = [10, 20, 30],\n", " angleMeans = [130,70,80,110], angleSpreads = [5,11,3,3], # Angle Scaling\n", " seed = 123, # Repeatable results\n", " timing = timingMethod)\n", " \n", " numSamples = int(channel.sampleRate * 0.001) # Number of samples for one subframe.\n", "\n", " t0= time.time()\n", " channelTimes = channel.getChannelTimes(numSamples)\n", " channelGains = channel.getChannelGains(channelTimes) # Shape: nc x nr x nt x np\n", " gains += [ channel.upSample(channelGains, channelTimes, numSamples) ] # Shape: ns x nr x nt x np\n", " print(\"Execution Time (%s): %.4f\"%(timingMethod, time.time()-t0))\n", "\n", "import matplotlib.pyplot as plt\n", "pp = 1\n", "for i,timingMethod in enumerate(['Linear', 'Polar', 'Nearest', 'Matlab']):\n", " plt.plot(np.real(gains[i])[:,0,0,pp], label=timingMethod)\n", "plt.legend()\n", "plt.title(\"Real Values of gains for the first pair of antennas and first path\");\n", "plt.show()\n", "\n", "for i,timingMethod in enumerate(['Linear', 'Polar', 'Nearest', 'Matlab']):\n", " plt.plot(np.imag(gains[i])[:,0,0,pp], label=timingMethod)\n", "plt.legend()\n", "plt.title(\"Imaginary Values of gains for the first pair of antennas and first path\");\n", "plt.show()\n", "\n", "for i,timingMethod in enumerate(['Linear', 'Polar', 'Nearest', 'Matlab']):\n", " plt.plot(np.angle(gains[i])[:,0,0,pp], label=timingMethod)\n", "plt.legend()\n", "plt.title(\"Angles of gains for the first pair of antennas and first path\");\n", "plt.show()\n", "\n", "for i,timingMethod in enumerate(['Linear', 'Polar', 'Nearest', 'Matlab']):\n", " plt.plot(np.abs(gains[i])[:,0,0,pp], label=timingMethod)\n", "plt.legend()\n", "plt.title(\"Magnitudes of gains for the first pair of antennas and first path\");\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "db9ff99d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 3, "id": "d5d0a1a0", "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Testing with 'Linear':\n", " Max Absolute Difference: 5.369472471200176e-05\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Testing with 'Polar':\n", " Max Absolute Difference: 7.4682821260964236e-06\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Testing with 'Nearest':\n", " Max Absolute Difference: 0.010692990186467183\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Testing with 'Matlab':\n", " Max Absolute Difference: 0.01192575626972184\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Checking the continuity of the channel gains for each timing method.\n", "# Running in 2 steps once and then running in one step with twice the samples and comparing the results.\n", "for timingMethod in ['Linear', 'Polar', 'Nearest', 'Matlab']:\n", " print(\"Testing with '%s':\"%(timingMethod))\n", " channel = CdlChannel('C', delaySpread=10, carrierFreq=f, dopplerShift=d,\n", " txAntenna = AntennaPanel([2,2], polarization=\"x\", matlabOrder=True),\n", " rxAntenna = AntennaPanel([1,1], polarization=\"+\", matlabOrder=True),\n", " txAntennaOrientation = [10, 20, 30],\n", " angleMeans = [130,70,80,110], angleSpreads = [5,11,3,3], # Angle Scaling\n", " seed = 123, # Repeatable results\n", " timing = timingMethod)\n", "\n", " numSamples = int(channel.sampleRate * 0.001) # Number of samples for one subframe.\n", "\n", " # get the gains for \"numSamples\" samples\n", " channelTimes = channel.getChannelTimes(numSamples)\n", " channelGains = channel.getChannelGains(channelTimes) # Shape: nc x nr x nt x np\n", " gains1 = channel.upSample(channelGains, channelTimes, numSamples) # Shape: ns x nr x nt x np\n", "\n", " # Advance the channel state.\n", " channel.goNext()\n", "\n", " # get the gains again for the same number of samples.\n", " channelTimes = channel.getChannelTimes(numSamples)\n", " channelGains = channel.getChannelGains(channelTimes) # Shape: nc x nr x nt x np\n", " gains2 = channel.upSample(channelGains, channelTimes, numSamples) # Shape: ns x nr x nt x np\n", "\n", " # Concatenate the results\n", " gains12c = np.concatenate([gains1, gains2]) # Shape: 2*ns x nr x nt x np\n", "\n", " # Restart the channel mode. Note that we want to restart the random generator so that\n", " # we start with the same random initial values.\n", " channel.restart(restartRanGen=True)\n", " \n", " # Get the 1-step gains for twice the number of samples for each step.\n", " channelTimes = channel.getChannelTimes(2*numSamples)\n", " channelGains = channel.getChannelGains(channelTimes) # Shape: 2*nc x nr x nt x np\n", " gains12 = channel.upSample(channelGains, channelTimes, 2*numSamples) # Shape: 2*ns x nr x nt x np\n", "\n", " # Compare the results\n", " print(\" Max Absolute Difference:\", np.abs(gains12-gains12c).max())\n", " \n", " # Draw the continuity magnitude graphs for each interpolation method.\n", " pp=1\n", " plt.plot(np.abs(gains12)[:,0,0,pp],label=\"gains12 one step\")\n", " plt.plot(np.abs(gains12c)[:,0,0,pp],label=\"gains12 two steps\")\n", " plt.plot(np.abs(gains1)[:,0,0,pp],label=\"gains1\")\n", " plt.legend()\n", " plt.grid()\n", " plt.title(\"Magnitudes of gains for \\\"%s\\\" timing method\"%(timingMethod));\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "19f5efa7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 4, "id": "db05cce1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Max Absolut Difference: 8.881784197001252e-16\n" ] } ], "source": [ "# Checking the continuity of the channel fileters.\n", "# Running in 2 steps first and then running in one step with the same data repeated 2-times and comparing the \n", "# results.\n", "\n", "channel = CdlChannel('C', delaySpread=10, carrierFreq=f, dopplerShift=d,\n", " txAntenna = AntennaPanel([2,2], polarization=\"x\", matlabOrder=True),\n", " rxAntenna = AntennaPanel([1,1], polarization=\"+\", matlabOrder=True),\n", " txAntennaOrientation = [10, 20, 30],\n", " angleMeans = [130,70,80,110], angleSpreads = [5,11,3,3], # Angle Scaling\n", " seed = 123, # Repeatable results\n", " timing = \"Polar\")\n", "\n", "# Create some random signal (1 ms)\n", "random.setSeed(123)\n", "txWaveform = random.normal(0,1, # Standard Normal Distribution\n", " (channel.nrNt[1],int(channel.sampleRate*0.001))) # Shape: Nt x NumSamples\n", "\n", "# get filter outputs for the input data.\n", "channelTimes = channel.getChannelTimes(numSamples)\n", "filterOutput1 = channel.channelFilter.applyToSignal(txWaveform) # Shape: ns x nt x np\n", "\n", "# Advance the filter state.\n", "channel.goNext()\n", "\n", "# get filter output again for the same input data.\n", "filterOutput2 = channel.channelFilter.applyToSignal(txWaveform) # Shape: ns x nt x np\n", "\n", "# Concatenate the results\n", "filterOutput12c = np.concatenate([filterOutput1, filterOutput2]) # Shape: 2*ns x nt x np\n", "\n", "# Restart the channel mode. Note that we want to restart the random generator so that\n", "# we start with the same random initial values.\n", "channel.restart(restartRanGen=True)\n", "\n", "txWaveform12 = np.concatenate(2*[txWaveform], axis=1) # Repeat the txWaveform\n", "filterOutput12 = channel.channelFilter.applyToSignal(txWaveform12) # Shape: 2*ns x nt x np\n", "\n", "# Compare the results:\n", "print(\"Max Absolut Difference:\", np.abs(filterOutput12-filterOutput12c).max())" ] }, { "cell_type": "code", "execution_count": null, "id": "80876995", "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 }