{ "cells": [ { "cell_type": "markdown", "metadata": { "nbsphinx": "hidden" }, "source": [ "# Characterization of Discrete Systems in the Spectral Domain\n", "\n", "*This Jupyter notebook is part of a [collection of notebooks](../index.ipynb) in the bachelors module Signals and Systems, Communications Engineering, Universität Rostock. Please direct questions and suggestions to [Sascha.Spors@uni-rostock.de](mailto:Sascha.Spors@uni-rostock.de).*" ] }, { "cell_type": "markdown", "metadata": { "execute": "never" }, "source": [ "## Measurement of an Electroacoustic Transfer Function\n", "\n", "The propagation of sound from a loudspeaker placed at one position in a room to a microphone placed at another position can be interpreted as system. The system can be regarded as linear time-invariant (LTI) system under the assumption that the [sound pressure level](https://en.wikipedia.org/wiki/Sound_pressure#Sound_pressure_level) is kept reasonably low (e.g. $L_p < 100$ dB, **pay attention to your ears**) and neither the loudspeaker nor the microphone are 'overdriven'. Consequently, its impulse response $h(t)$ characterizes the propagation of sound between theses two positions. Room impulse responses (RIRs) have a wide range of applications in acoustics, e.g. for the characterization of electroacoustic equipment, room acoustics or auralization. Therefore their measurement and modeling by discrete systems has found a lot of attention in digital signal processing.\n", "Similarly, electromagnetic wave radiation between a transmitter and a receiver could be modeled as a linear transmission channel.\n", "\n", "The following example demonstrates how an electroacoustic transfer function can be measured and [modeled by an finite impulse response (FIR) system](transfer_function.ipynb#Modeling-a-Continuous-System-by-a-Discrete-System) using the soundcard of a computer. The module [`sounddevice`](http://python-sounddevice.readthedocs.org/) provides access to the soundcard via [`portaudio`](http://www.portaudio.com/). The basic procedure involves the following three steps\n", "\n", "1. generation of the measurement signal $x[k]$,\n", "2. playback of measurement signal $x(t)$ and synchronous recording of system response $y(t)$ (digitalization to $y[k]$), and\n", "3. computation of transfer function $H[\\mu]$ and impulse response $h[k]$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.signal as signal\n", "import sounddevice as sd\n", "%matplotlib inline\n", "\n", "fs = 44100 # sampling rate\n", "T = 10 # length of measurement signal in s\n", "Tr = 2 # length of system impulse response in s\n", "\n", "t = np.linspace(0, T, T*fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generation of the Measurement Signal\n", "\n", "The measurement signal has to fulfill $H[\\mu] \\neq 0$, as outlined [before](transfer_function.ipynb#Modeling-a-Continuous-System-by-a-Discrete-System). A Dirac impulse $x[k] = \\delta[k]$ cannot be used for electroacoustic equipment due to its high [Crest factor](https://en.wikipedia.org/wiki/Crest_factor). Chirp signals show a variety of favourable properties for the measurement of electroacoustic systems, e.g. a low Crest factor and a magnitude spectrum which can be freely adjusted, for example to the background noise.\n", "\n", "A sampled linear chirp signal is used as measurement signal\n", "\n", "\\begin{equation}\n", "x[k] = A \\sin \\left( \\frac{\\omega_\\text{stop} - \\omega_\\text{start}}{2 T} \\cdot (k T)^2 + \\omega_\\text{start} \\cdot k T \\right)\n", "\\end{equation}\n", "\n", "where $\\omega_\\text{start}$ and $\\omega_\\text{stop}$ denotes its start and end frequency, respectively and $T$ the sampling period. The measurement signal $x[k]$ is generated and normalized" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "x = signal.chirp(t, 20, T, 20000, 'linear', phi=90)\n", "x = 0.9 * x / np.max(np.abs(x))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and its magnitude spectrum $|H[\\mu]|$ plotted for illustration" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0, 22050.0, 0, 55]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/pdf": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.fft.rfft(x)\n", "f = np.fft.rfftfreq(len(x))*fs\n", "\n", "plt.plot(f, 20*np.log10(np.abs(X)))\n", "plt.xlabel(r'$f$ in Hz')\n", "plt.ylabel(r'$|X(f)|$ in dB')\n", "plt.grid()\n", "plt.axis([0, fs/2, 0, 55])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Playback of Measurement Signal and Recording of Room Response\n", "\n", "The measurement signal $x[k]$ is played through the output of the soundcard and the response $y(t)$ is captured synchronously by the input of the soundcard. The length of the played/captured signal has to be of equal length when using the soundcard. The measurement signal $x[k]$ is zero-padded so that the captured signal $y[k]$ includes the complete system response.\n", "\n", "Be sure not to overdrive the speaker and the microphone by keeping the input level well below 0 dBFS." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Playback level: -0.915149811328209 dB\n", "Input level: -2.4185984431271472 dB\n" ] } ], "source": [ "x = np.concatenate((x, np.zeros(Tr*fs)))\n", "y = sd.playrec(x, fs, channels=1)\n", "sd.wait()\n", "y = np.squeeze(y)\n", "\n", "print('Playback level: ', 20*np.log10(max(x)), ' dB')\n", "print('Input level: ', 20*np.log10(max(y)), ' dB')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computation of the Electroacoustic Transfer Function\n", "\n", "The acoustic transfer function is computed by driving the spectrum of the system output $Y[\\mu] = \\text{DFT} \\{ y[k] \\}$ by the spectrum of the measurement signal $X[\\mu] = \\text{DFT} \\{ x[k] \\}$. Since both signals are real-valued, a real-valued fast Fourier transform (FFT) is used." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "H = np.fft.rfft(y) / np.fft.rfft(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The magnitude of the transfer function is plotted for illustration" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 22050.0)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/pdf": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = np.fft.rfftfreq(len(x))*fs\n", "plt.plot(f, 20*np.log10(np.abs(H)))\n", "plt.xlabel(r'$f$ in Hz')\n", "plt.ylabel(r'$|H(f)|$ in dB')\n", "plt.grid()\n", "plt.xlim([0, fs/2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computation of the Electroacoustic Impulse Response\n", "\n", "The impulse response is computed by inverse DFT $h[k] = \\text{IDFT} \\{ H[\\mu] \\}$ and truncation to its assumed length" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "h = np.fft.irfft(H)\n", "h = h[0:Tr*fs]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is plotted for illustration" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = 1/fs * np.arange(len(h))\n", "plt.plot(t, h)\n", "plt.xlim([0.1, .2])\n", "plt.xlabel(r'$t$ in s')\n", "plt.ylabel(r'$h[k]$')\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": { "nbsphinx": "hidden" }, "source": [ "**Copyright**\n", "\n", "The notebooks are provided as [Open Educational Resource](https://de.wikipedia.org/wiki/Open_Educational_Resources). Feel free to use the notebooks for your own educational purposes. The text is licensed under [Creative Commons Attribution 4.0](https://creativecommons.org/licenses/by/4.0/), the code of the IPython examples under the [MIT license](https://opensource.org/licenses/MIT). Please attribute the work as follows: *Lecture Notes on Signals and Systems* by Sascha Spors." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.3" }, "nbsphinx": { "execute": "never" } }, "nbformat": 4, "nbformat_minor": 1 }