{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "4bcd49a4", "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[audio]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using Audio Equipment\n", "=====================\n", "\n", "This notebook will outline how to setup hardaware validation loops transmitting communication waveforms over sound cards.\n", "\n", "More precisely, we will initially set up a SISO link transmitting over the first output channel and receiving over the first input channel of a sound card, respectively.\n", "For generating this notebook's content, the channels have been diretly linked by a patch cable.\n", "\n", "Initially, we will import all required modules:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from hermespy.hardware_loop.audio import AudioDevice\n", "from hermespy.modem import DuplexModem, RootRaisedCosineWaveform, SingleCarrierCorrelationSynchronization, SingleCarrierZeroForcingChannelEqualization, SingleCarrierLeastSquaresChannelEstimation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The link can be configured by assigning the proper audio device and channel indices.\n", "The device indices are native to the host system, so when executing this notebook lokally, the indices for transmitting $(6)$ and receiving $(4)$ device will differ.\n", "They may be queried by calling the function [query_devices](https://python-sounddevice.readthedocs.io/en/0.4.4/api/checking-hardware.html#sounddevice.query_devices) of the underyling sounddevice package." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "device = AudioDevice(6, 4, [1], [1], max_receive_delay=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The device will be operated by a communication modem transmitting a single-carrier waveform at at symbol rate of $10~\\mathrm{kHz}$ filtered by a root-raised-cosine pulse impulse response." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "modem = DuplexModem(seed=42)\n", "modem.device = device\n", "\n", "waveform = RootRaisedCosineWaveform(symbol_rate=1e4, pilot_rate=64, num_preamble_symbols=128,\n", " num_data_symbols=2048, oversampling_factor=8, modulation_order=4)\n", "waveform.synchronization = SingleCarrierCorrelationSynchronization()\n", "waveform.channel_estimation = SingleCarrierLeastSquaresChannelEstimation()\n", "waveform.channel_equalization = SingleCarrierZeroForcingChannelEqualization()\n", "modem.waveform = waveform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the audio device will internally apply a [Hilbert](https://en.wikipedia.org/wiki/Hilbert_transform) transformation to convert the complex-valued communication waveforms to real-valued envelopes to be transmitted over the audio channels.\n", "This requires at least an oversampling factor of two, ideally higher.\n", "\n", "We may now generate and visualize the information of a single communication frame to be transmitted over the device output channel:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "transmission = modem.transmit()\n", "_ = transmission.symbols.plot_constellation(title='Transmitted Symbols')\n", "_ = transmission.signal.plot(title='Transmitted Waveform')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This waveform can be transmitted and received over the device by calling the hardware-loop specific configure, trigger and fetch routines.\n", "\n", "**Warning: If you are running this section for the first time, especially over speakers, turn down the volume!**" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Trigger device transmission\n", "device.transmit()\n", "device.trigger()\n", "device.receive()\n", "\n", "reception = modem.receive()\n", "_ = reception.signal.plot(title='Received Waveform')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, we received a signal frame clearly visible in the time-domain.\n", "We can now inspect the proper synchronization by plotting only the signal portion of the detected frame:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = reception.frames[0].signal.plot(title='Received Synchronized Waveform')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Proper demodulation and equlization can be assessed by plotting the received symbol constellation and evaluating the bit error rate of the transmitted frame:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from hermespy.modem import BitErrorEvaluator\n", "\n", "_ = reception.frames[0].equalized_symbols.plot_constellation(title='Received Symbol Constellation')\n", "\n", "ber = BitErrorEvaluator(modem, modem)\n", "_ = ber.evaluate().plot()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.10 ('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": "3.9.13 (tags/v3.9.13:6de2ca5, May 17 2022, 16:36:42) [MSC v.1929 64 bit (AMD64)]" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "15324ae639e283979e39f32b76ef84dde816ef5cb4e81fc04e688fd3d2128060" } } }, "nbformat": 4, "nbformat_minor": 2 }