{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "VqZvf8p_wDFu" }, "source": [ "# Basic properties of signals\n", "\n", "> Marcos Duarte, Renato Naville Watanabe \n", "> [Laboratory of Biomechanics and Motor Control](https://bmclab.pesquisa.ufabc.edu.br) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": { "id": "NCIR4smjwDFw" }, "source": [ "A signal is a set of data that conveys information about some phenomenon (Bendat, Piersol 2010; Lathi 2009; Lyons 2010). A signal can be represented mathematically by a function of one or more independent variables. We also refer to signal as simply data. The time-dependent voltage of an electric circuit and the acceleration of a moving body are examples of signals. \n", "\n", "Let's see now a brief description about the basic properties of signals (for a more detailed description, see Bendat, Piersol 2010; Lathi 2009; Lyons 2010; Smith 1997)." ] }, { "cell_type": "markdown", "metadata": { "id": "XSF2B4wAwDFx" }, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T08:08:39.303536Z", "start_time": "2017-12-30T08:08:39.066942Z" }, "id": "CEiIvPBpwDFy" }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "id": "VrQZuzW8wDFz" }, "source": [ "## Amplitude, frequency, period, and phase\n", "\n", "A periodic function can be characterized by the properties: amplitude, frequency, period, and phase. Let's exemplify these properties for a periodic function composed by a single frequency, the sine wave or sinusoid [trigonometric function](https://en.wikipedia.org/wiki/Trigonometric_functions):\n", "\n", "$$ x(t) = A\\sin(2 \\pi f t + \\phi) $$\n", "\n", "Where $A$ is the amplitude, $f$ the frequency, $\\phi$ the phase, and $T=1/f$ the period of the function $x(t)$. \n", "\n", "We can define $\\omega=2\\pi f = 2\\pi/T$ as the angular frequency, then:\n", "\n", "$$ x(t) = A\\sin(\\omega t + \\phi) $$\n", "\n", "Let's visualize this function:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T08:08:40.307624Z", "start_time": "2017-12-30T08:08:40.297248Z" }, "id": "FdRKd9szwDFz" }, "outputs": [], "source": [ "t = np.linspace(-2, 2, 101) # time vector\n", "A = 2 # amplitude\n", "freq = 0.5 # frequency, Hz\n", "phase = np.pi/4 # phase, radians (45o)\n", "x1 = 1 * np.sin(2 * np.pi * 1 * t + 0) # sinusoid 1\n", "x2 = A * np.sin(2 * np.pi * freq * t + phase) # sinusoid 2" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "id": "-GqyzwJuwDFz" }, "outputs": [], "source": [ "def wave_plot(freq, t, y, y2, ax=None):\n", " \"\"\"Propertie of waves: amplitude, frequency, phase.\n", " \"\"\"\n", " import matplotlib.pyplot as plt\n", " from matplotlib.ticker import MultipleLocator\n", "\n", " plt.rc('xtick', labelsize=14)\n", " plt.rc('ytick', labelsize=14)\n", " if ax is None:\n", " fig, ax = plt.subplots(1, 1, figsize=(12, 4))\n", " ax.plot(t, y, color=[0, .5, 0, .5], linewidth=5)\n", " ax.plot(t, y2, color=[0, 0, 1, .5], linewidth=5)\n", " ax.spines['bottom'].set_position('zero')\n", " ax.spines['top'].set_color('none')\n", " ax.spines['left'].set_position('zero')\n", " ax.spines['right'].set_color('none')\n", " ax.xaxis.set_ticks_position('bottom')\n", " ax.yaxis.set_ticks_position('left')\n", " ax.tick_params(axis='both', direction='inout', which='both', length=5)\n", " ax.set_xlim((-2.05, 2.05))\n", " ax.set_ylim((-2.1, 2.1))\n", " ax.locator_params(axis='both', nbins=7)\n", " ax.xaxis.set_minor_locator(MultipleLocator(.25))\n", " ax.yaxis.set_minor_locator(MultipleLocator(.5))\n", " ax.grid(which='both')\n", " ax.set_title(r'$Asin(2\\pi ft+\\phi)$', loc='left', size=20, color=[0, 0, 0])\n", " ax.set_title(r'$x_1=sin(2\\pi t)$', loc='center', size=20, color=[0, .5, 0])\n", " ax.set_title(r'$x_2=2sin(\\pi t + \\pi/4)$', loc='right', size=20, color=[0, 0, 1])\n", " ax.annotate('', xy=(.25, 0), xycoords='data', xytext=(.25, 2), size=16,\n", " textcoords='data',\n", " arrowprops={'arrowstyle': '<->', 'fc': 'b', 'ec': 'b'})\n", " ax.annotate(r'$A=2$', xy=(.25, 1.1), xycoords = 'data', xytext=(0, 0),\n", " textcoords = 'offset points', size=18, color='b')\n", " ax.annotate('', xy=(0, 1.6), xycoords='data', xytext=(-.25, 1.6), size=16,\n", " textcoords='data',\n", " arrowprops={'arrowstyle': '<->', 'fc': 'b', 'ec': 'b'})\n", " ax.annotate(r'$t_{\\phi}=\\phi/2\\pi f\\,(\\phi=\\pi/4)$', xy=(-1.25, 1.6),\n", " xycoords = 'data', xytext=(0, -5),\n", " textcoords = 'offset points', size=18, color='b')\n", " ax.annotate('', xy=(-.25, 0), xycoords='data', xytext=(-.25, 2),\n", " textcoords='data', arrowprops={'arrowstyle': '-',\n", " 'linestyle': 'dotted', 'fc': 'b', 'ec': 'b'}, size=16)\n", " ax.annotate('', xy=(-.75, -1.8), xycoords='data', xytext=(1.25, -1.8),\n", " textcoords='data', size=10,\n", " arrowprops={'arrowstyle': '|-|', 'fc': 'b', 'ec': 'b'})\n", " ax.annotate(r'$T=1/f\\,(f=0.5\\,Hz)$', xy=(-.16, -1.8), xycoords = 'data',\n", " xytext=(0, 8), textcoords = 'offset points', size=18, color='b')\n", " ax.annotate(r'$t[s]$', xy=(2.05, -.5), xycoords = 'data', xytext=(0, 0),\n", " textcoords = 'offset points', size=18, color='k')\n", " plt.suptitle(r'Amplitude ($A$), frequency ($f$), period ($T$), phase ($\\phi$)',\n", " fontsize=18, y=1.08)\n", "\n", " return ax" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T08:08:41.829023Z", "start_time": "2017-12-30T08:08:41.184890Z" }, "id": "K4R-nZDtwDF0", "outputId": "97d11390-5fc0-4663-b086-ec248812e99f", "colab": { "base_uri": "https://localhost:8080/", "height": 429 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "ax = wave_plot(freq, t, x1, x2, ax=None)\n", "%config InlineBackend.close_figures=False # hold plot for next cell" ] }, { "cell_type": "markdown", "metadata": { "id": "5-KUfGnFwDF1" }, "source": [ "Can you guess the shape of the sum of the two curves we just plotted?\n", "\n", "$$ x_3 = x_1 + x_2 $$\n", "\n", "$$ x_3 = \\sin(2 \\pi t) + 2\\sin(4 \\pi t + \\pi/4) $$\n", "\n", "And here is the plot:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T08:08:45.432597Z", "start_time": "2017-12-30T08:08:45.143825Z" }, "id": "wwsEV52DwDF1", "outputId": "52d7d239-1569-48a1-ec98-eae2121155c0", "colab": { "base_uri": "https://localhost:8080/", "height": 430 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "x3 = x1 + x2\n", "\n", "ax.plot(t, x3, 'r', linewidth=8)\n", "ax.annotate(r'$x_3 = x_1 + x_2$', xy=(1.25, 2.2), xycoords = 'data', size=22, color='r')\n", "ax.set_ylim((-2.1, 3.1))\n", "%config InlineBackend.close_figures=True # hold off the figure\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "CaQ2L5ZwwDF1" }, "source": [ "### Magnitude and power\n", "\n", "Other terms related to amplitude are magnitude and power. The magnitude is the absolute value (without the signal) of the amplitude. The power of a signal is proportional to its amplitude (or magnitude) squared." ] }, { "cell_type": "markdown", "metadata": { "id": "oEce7OHHwDF1" }, "source": [ "## Periodic function, fundamental frequency, and harmonics\n", "\n", "A function is said to be periodic with period $T$ if $ x(t+T) = x(t)$ for all values of $t$, that is, the function repeats itself after a period. Important properties of this definition are that the sum of periodic functions and a constant times a periodic function are also periodic functions. In particular, this means that a periodic function also repeats itself after $2T,\\: 3T, \\dots$. \n", "The shortest period that the function repeats itself (in this case, $T$) is said to be the fundamental period and its inverse, the fundamental frequency of the periodic function. A [harmonic](http://en.wikipedia.org/wiki/Harmonic) is a component frequency of the function that is an integer multiple of the fundamental frequency, i.e., the harmonics have frequencies $f,\\: 2f,\\: 3f, \\dots$ (which have periods $T,\\: T/2,\\: T/3, \\dots$) and are referred as the first, second, and third harmonics, respectively." ] }, { "cell_type": "markdown", "metadata": { "id": "huLuTQ66wDF1" }, "source": [ "## AC and DC components\n", "\n", "A periodic function can also be characterized by its [AC and DC components](https://en.wikipedia.org/wiki/DC_bias). These terms originated in electronics and mean alternate current and direct current, respectively. The DC component, also referred as DC offset or DC bias, is simply the average (mean) value of the function, i.e., the constant part of the function. The AC component is the oscillatory part of the function and can be found by subtracting the function average value (the DC component) from the function itself. \n", "The next figure illustrates these components." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "id": "ag0NhJQzwDF2" }, "outputs": [], "source": [ "def ac_dc_plot(ax=None):\n", " \"\"\"Plot AC and DC components of signals.\n", " \"\"\"\n", " if ax is None:\n", " fig, ax = plt.subplots(1, 3, figsize=(9, 3))\n", " ax = ax.flat\n", " t = t = np.linspace(0, 1, 101)\n", " AC = np.sin(2*4*np.pi*t)\n", " DC = 2*np.ones(t.shape)\n", " ax[0].plot(t, AC, 'b', linewidth=3, label=r'AC')\n", " ax[0].set_title(r'$AC:\\;sin(8\\pi t)$', fontsize=18)\n", " ax[1].plot(t, DC, 'g', linewidth=3, label=r'DC')\n", " ax[1].set_title(r'$DC:\\; 2$', fontsize=18)\n", " ax[2].plot(t, AC+DC, 'r', linewidth=3, label='AC+DC')\n", " ax[2].plot(t, AC, 'b:', linewidth=2, label='AC')\n", " ax[2].plot(t, DC, 'g:', linewidth=2, label='DC')\n", " ax[2].set_title(r'$AC+DC:\\;sin(8\\pi t)+2$', fontsize=18)\n", " for axi in ax:\n", " axi.set_ylim(-1.2, 3.2)\n", " axi.margins(.02)\n", " axi.spines['bottom'].set_position('zero')\n", " axi.spines['top'].set_color('none')\n", " axi.spines['left'].set_position('zero')\n", " axi.spines['right'].set_color('none')\n", " axi.xaxis.set_ticks_position('bottom')\n", " axi.yaxis.set_ticks_position('left')\n", " axi.tick_params(axis='both', direction='inout', which='both', length=5)\n", " axi.locator_params(axis='both', nbins=4)\n", " fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T08:09:04.974335Z", "start_time": "2017-12-30T08:09:04.663679Z" }, "run_control": { "breakpoint": false }, "id": "IJS3Mk2EwDF2", "outputId": "c76aeaaa-abf5-45c7-cf67-3289d7d24457", "colab": { "base_uri": "https://localhost:8080/", "height": 307 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "ax = ac_dc_plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "ezon8-6ewDF2" }, "source": [ "Note that for a periodic function like $x(t)=A\\cos(2\\pi f t)$, when its frequency is zero, $x(t)=A$. That is, the function $x(t)$ has only a DC component (if $A$ is different from zero). Because that, we can say that the DC component of a function has a frequency equals to zero (an infinite period)." ] }, { "cell_type": "markdown", "metadata": { "id": "-GOjCnnFwDF2" }, "source": [ "## Even and odd functions\n", "\n", "[Even and odd functions](https://en.wikipedia.org/wiki/Even_and_odd_functions) are functions which satisfy symmetry relations with respect to taking additive inverses. The [additive inverse](https://en.wikipedia.org/wiki/Additive_inverse) of a number x is the number that added to x yields zero.\n", "\n", "The function $x(t)$ is even if $x(t) = x(-t)$ and $x(t)$ is odd if $x(t) = -x(-t)$.\n", "\n", "The cosine function is even, for instance, $\\cos(\\pi)=\\cos(-\\pi)$, and the sine function is odd, for instance, $\\sin(\\pi/2)=-\\sin(-\\pi/2)$; confer the next figure." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "id": "N2JvvU5GwDF2" }, "outputs": [], "source": [ "def even_odd_plot(ax=None):\n", " \"\"\"Plot even and odd signals.\n", " \"\"\"\n", " if ax is None:\n", " fig, ax = plt.subplots(1, 2, figsize=(9, 3))\n", " ax = ax.flat\n", " t = t = np.linspace(-np.pi, np.pi, 101)\n", " sin = np.sin(t)\n", " cos = np.cos(t)\n", " ax[0].plot(t, cos, 'b', linewidth=3, label=r'$cos(t)$')\n", " ax[0].plot([np.pi, np.pi], [0, -1], 'r:', linewidth=3)\n", " ax[0].plot([-np.pi, -np.pi], [0, -1], 'r:', linewidth=3)\n", " ax[0].plot([-np.pi, np.pi], [-1, -1], 'r:', linewidth=3)\n", " ax[0].set_title(r'$Even\\;function:\\;cos(t) = cos(-t)$', fontsize=16)\n", " ax[1].plot(t, sin, 'g', linewidth=3, label=r'$sin(t)$')\n", " ax[1].plot([-np.pi/2, -np.pi/2], [0, -1], 'r:', linewidth=3)\n", " ax[1].plot([-np.pi/2, 0], [-1, -1], 'r:', linewidth=3)\n", " ax[1].plot([np.pi/2, np.pi/2], [0, 1], 'r:', linewidth=3)\n", " ax[1].plot([0, np.pi/2], [1, 1], 'r:', linewidth=3)\n", " ax[1].set_title(r'$Odd\\;function:\\;sin(t) =-sin(-t)$', fontsize=16)\n", " for axi in ax:\n", " axi.margins(.02)\n", " axi.spines['bottom'].set_position('zero')\n", " axi.spines['top'].set_color('none')\n", " axi.spines['left'].set_position('zero')\n", " axi.spines['right'].set_color('none')\n", " axi.xaxis.set_ticks_position('bottom')\n", " axi.yaxis.set_ticks_position('left')\n", " axi.tick_params(axis='both', direction='inout', which='both', length=5)\n", " axi.locator_params(axis='both', nbins=5)\n", " axi.set_xlim((-np.pi-0.2, np.pi+0.2))\n", " axi.set_ylim((-1.1, 1.1))\n", " axi.set_xticks(np.linspace(-np.pi, np.pi, 5))\n", " axi.set_xticklabels(['$-\\pi$', '$-\\pi/2$', '$0$', '$\\pi/2$', '$\\pi$'],\n", " fontsize=16)\n", " for label in axi.get_xticklabels() + axi.get_yticklabels():\n", " label.set_bbox(dict(facecolor='white', edgecolor='None',\n", " alpha=0.65))\n", " fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T08:09:11.583070Z", "start_time": "2017-12-30T08:09:11.231596Z" }, "run_control": { "breakpoint": false }, "id": "2RVjDg_FwDF2", "outputId": "c1bb9d54-fe4a-4d1b-a644-d02afb930dcf", "colab": { "base_uri": "https://localhost:8080/", "height": 306 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "ax = even_odd_plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "xML37W64wDF3" }, "source": [ "## Continuous and discrete signals\n", "\n", "A [continuous signal](https://en.wikipedia.org/wiki/Continuous_signal) is dependent of a continuous variable, that is, the independent variable varies continuously (it has a continuum domain). On the other hand, a [discrete signal](https://en.wikipedia.org/wiki/Discrete-time_signal) is dependent of a discrete variable, that is, the independent variable is defined only on a discrete set of values. For instance, the temperature throughout the day (T(t)) is a continuous signal in the sense it depends on time, which varies continuously. However, if we measure the temperature only at certain times, let's say every hour, then this new signal is discrete because its independent variable is discrete (t= 8 am, 9 am, 10 am, ...). \n", "The following figure illustrates continuous and discrete signals (however, since we are using a digital computer, the continuous signal below is in fact not authentic!):" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "id": "pNaTJ2hCwDF3" }, "outputs": [], "source": [ "def cont_disc_plot(ax=None):\n", " \"\"\"Plot of continuous and discrete signals.\n", " \"\"\"\n", " import numpy as np\n", " import matplotlib.pyplot as plt\n", "\n", " if ax is None:\n", " fig, ax = plt.subplots(1, 2, figsize=(9, 3))\n", " ax = ax.flat\n", " t = np.linspace(0, 1, 101)\n", " x = np.sin(2*np.pi*t)\n", " ax[0].plot(t, x, 'r', linewidth=3)\n", " ax[0].set_title('Continuous signal', fontsize=16)\n", " ax[1].stem(t[::5], x[::5], markerfmt='ro', linefmt='b--',\n", " label=r'$sin(t)$')\n", " ax[1].set_title('Discrete signal', fontsize=16)\n", " for axi in ax:\n", " axi.margins(.02)\n", " axi.set_ylabel('Amplitude')\n", " axi.spines['bottom'].set_position('zero')\n", " axi.spines['top'].set_color('none')\n", " axi.spines['left'].set_position('zero')\n", " axi.spines['right'].set_color('none')\n", " axi.xaxis.set_ticks_position('bottom')\n", " axi.yaxis.set_ticks_position('left')\n", " axi.tick_params(axis='both', direction='inout', which='both',\n", " length=5)\n", " axi.locator_params(axis='both', nbins=5)\n", " axi.set_ylim((-1.1, 1.1))\n", " axi.set_ylabel(r'Amplitude', fontsize=16)\n", " axi.annotate(r't[s]', xy=(.95, .1), xycoords = 'data', color='k',\n", " size=14, xytext=(0, 0), textcoords = 'offset points')\n", " fig.tight_layout()\n", "\n", " return ax" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T08:09:20.368733Z", "start_time": "2017-12-30T08:09:20.080385Z" }, "run_control": { "breakpoint": false }, "id": "EzYlZNb7wDF3", "outputId": "39c00e2f-3554-4470-89af-8d4ad396a5e8", "colab": { "base_uri": "https://localhost:8080/", "height": 306 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "ax = cont_disc_plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "BcbXWJCwwDF3" }, "source": [ "### Sampling\n", "\n", "The reduction of a continuous signal to a discrete signal is called sampling and the frequency which this is performed is called sampling frequency or sampling rate. The unit of the sampling frequency is hertz (Hz). For instance, the discrete signal plotted above has a sampling frequency of 20 Hz (the data were sampled at a 0.05 s interval).\n", "\n", "Sampling is the basis for using digital computers to record and store data from a observed phenomenon. As computers have a finite memory, one can not store a continuous signal (how many instants are in a period of one second?). This leads us to the related property: analog and digital signals." ] }, { "cell_type": "markdown", "metadata": { "id": "Sgjw5gPewDF3" }, "source": [ "### Nyquist-Shannon sampling theorem\n", "\n", "Some requirements must be satisfied for the proper discretization of a signal and an important one is expressed in the [Nyquist-Shannon sampling theorem](https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem), which is given by (Shannon's version): \n", "> \"If a function x(t) contains no frequencies higher than B hertz, it is completely determined by giving its ordinates at a series of points spaced 1/(2B) seconds apart.\"\n", "\n", "That is, to appropriately acquire data from some phenomenon which its highest frequency component is $f_B$, the sampling frequency ($fs$) must be at least two times that, $fs\\geq2f_B$. The Nyquist frequency (the highest possible frequency in the acquired (sampled) signal) is half of the sampling frequency.\n", "\n", "When the Nyquist-Shannon sampling theorem is not satisfied and a continuous signal is discretized with a frequency less than two times of its highest frequency, it occurs an effect called [aliasing](https://en.wikipedia.org/wiki/Aliasing). In this case, the discrete signal does not contain the same information as the continuous signal." ] }, { "cell_type": "markdown", "metadata": { "id": "ldiDFINawDF4" }, "source": [ "## Analog and digital signals\n", "\n", "The amplitude of an [analog signal](https://en.wikipedia.org/wiki/Analog_signal) can take on any value (an infinite number of possible values) in a continuous range. On the other hand, the amplitude of a [digital signal](https://en.wikipedia.org/wiki/Digital_signal) can take only certain values (a finite number of possible values). For instance, a binary signal can take only two values.\n", "\n", "The continuous and discrete properties refer to the independent variable (for instance, time) and the analog and digital properties refer to the amplitude of the dependent variable (the signal itself)." ] }, { "cell_type": "markdown", "metadata": { "id": "q8F6S-7zwDF4" }, "source": [ "### Quantization\n", "\n", "The reduction of an analog signal to a digital signal is called quantization and in the context of measurement this is typically performed by an [analog-to-digital (A/D) converter](https://en.wikipedia.org/wiki/Analog-to-digital_converter). The number of discrete values of the signal amplitude over the range of the measured signal is the resolution of the quantization. Because digital computers are often employed in this process, resolution is expressed in number of bits and is a power of two. For instance, a resolution of 1 bit can encode an analog input to one in 2 ($2^0$) different levels, a resolution of 4 bits can encode an analog input to one in 16 ($2^4$) different levels, and a good commercial A/D converter has a resolution of 16 bits ($2^16$=65536 levels).\n", "\n", "If we know the voltage range (maximum minus minimum signal that can be read) of a A/D converter, we can express the resolution in Volts. For instance, a typical range is 10 V [-5V, 5V]; for 1 bit the resolution is 5 V, for 4 bits is 0.625, and for 16 bits is around 0.00015 V (0.15 mV), as illustrated in the next figure." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "id": "y5rl10k_wDF4" }, "outputs": [], "source": [ "def quantize_plot(ax=None):\n", " \"\"\"Plot of continuous and discrete signals.\n", " \"\"\"\n", " if ax is None:\n", " fig, ax = plt.subplots(1, 3, figsize=(9, 4))\n", " ax = ax.flat\n", " t = np.linspace(0, 1, 101)\n", " x = np.sin(2*np.pi*t)\n", " x1 = quantize(x, 1, 2)\n", " ax[0].plot(t, x, linewidth=2, color=[0, 0, 1, .3])\n", " ax[0].plot(t, x1, 'r.', linewidth=1, drawstyle='steps')\n", " ax[0].set_title('2-bit resolution', fontsize=12)\n", " x4 = quantize(x, 4, 2)\n", " ax[1].plot(t, x, linewidth=2, color=[0, 0, 1, .3])\n", " ax[1].plot(t, x4, 'r.', linewidth=1, drawstyle='steps')\n", " ax[1].set_title('4-bit resolution', fontsize=12)\n", " x16 = quantize(x, 16, 2)\n", " ax[2].plot(t, x, linewidth=2, color=[0, 0, 1, .3])\n", " ax[2].plot(t, x16, 'r.', linewidth=1, drawstyle='steps')\n", " ax[2].set_title('16-bit resolution', fontsize=12)\n", " for axi in ax:\n", " axi.margins(.02)\n", " axi.spines['bottom'].set_position('zero')\n", " axi.spines['top'].set_color('none')\n", " axi.spines['left'].set_position('zero')\n", " axi.spines['right'].set_color('none')\n", " axi.xaxis.set_ticks_position('bottom')\n", " axi.yaxis.set_ticks_position('left')\n", " axi.tick_params(axis='both', direction='inout', which='both', length=5)\n", " axi.locator_params(axis='both', nbins=5)\n", " axi.set_ylim((-1.1, 1.1))\n", " fig.tight_layout()\n", "\n", " return ax\n", "\n", "\n", "def quantize(x, n_bits, v_range):\n", " \"\"\" Quantizes `x` given `nbits` resolution and `v_range` range.\"\"\"\n", " r = v_range/2**n_bits\n", " return r*np.sign(x)*np.ceil(np.abs(x)/r)\n", " # a true a/d converter should use 'floor' instead of 'ceil':\n", " # return r*np.ceil(x/r)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T08:09:40.368968Z", "start_time": "2017-12-30T08:09:39.960388Z" }, "run_control": { "breakpoint": false }, "id": "JDur8hyXwDF4", "outputId": "2c1f341f-e4b5-4844-95bd-26d872c8afcb", "colab": { "base_uri": "https://localhost:8080/", "height": 407 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "ax = quantize_plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "PCrr3LRawDF4" }, "source": [ "## Deterministic and random signals\n", "\n", "A deterministic signal can be described by an explicit mathematical function. On other hand, a random signal cannot be described by an explicit mathematical function. A sine wave and a parabola are examples of deterministic signals. The outcomes of throwing a coin and a dice are random. Although the set of possible values are limited and known, there is no mathematical function to predict the exact outcome; just its probability of happening. Most measurements of observed phenomena in nature contain both deterministic and random signals.\n", "\n", "Since by definition there is no explicit mathematical function to generate a random signal, computers in fact are unable to generate true random data. For that, one needs to extract data from nature and inject into the computer! Read more about that in [Introduction to Randomness and Random Numbers](https://www.random.org/randomness/)." ] }, { "cell_type": "markdown", "metadata": { "id": "5ij8S_HowDF5" }, "source": [ "## Signal and noise\n", "\n", "With respect to what is being measured, data can be classified as signal or noise. \n", "Signal is what you want of the phenomenon and you believe this signal truly represents the phenomenon being measured (or modeled) and [noise](https://en.wikipedia.org/wiki/Noise) is what you don't want in a measurement because, in principle, it has no significant role to the understanding of the observed phenomenon. \n", "As much as this argument is tautological, the distinction between noise and signal depends on what you think is relevant about the observed phenomenon. Experimental data are contaminated by noise and it is rarely possible to completely distinguish signal from noise. \n", "[Signal-to-Noise ratio](https://en.wikipedia.org/wiki/Signal-to-noise_ratio) (SNR or S/N) is a measure to quantify the level of a desired signal in relation to the level of background noise. It is defined as the ratio between the power of the signal content and the power of the noise content in some data." ] }, { "cell_type": "markdown", "metadata": { "id": "x7iWxbbIwDF5" }, "source": [ "## Signal and system\n", "\n", "In engineering, signal is often associated to a system, which is an entity (a physical or virtual device) that takes a signal as input and produces another signal as output. In mathematics, if a signal can be represented as a function, the analogous for a system is to be represented as a differential equation. For instance, a mass attached to a spring is a system which can take a force (signal) as input and produce a displacement (another signal). This system could be described by a second-order ordinary differential equation." ] }, { "cell_type": "markdown", "metadata": { "id": "ecDf6ivtwDF5" }, "source": [ "## Problems\n", "\n", "1. Plot the following functions in the interval $t=[-1, 1]$: \n", " a) $ x(t) = 1 + 0.5\\cos(t + \\pi/4) $ \n", " b) $ x(t) = |t| $ \n", " c) $ x(t) = 2x^3 $ \n", " d) $ x(t) = \\sin(2\\pi t) + \\cos(2\\pi t) $ \n", " e) $ x(t) = \\sin^2(2\\pi t) + \\cos^2(2\\pi t) $ \n", " f) $ x(t) = \\sin(2\\pi t)/t $ \n", "\n", "2. Plot the following function in the interval $t=[-3\\pi, 3\\pi]$:\n", "$$ x(t) = \\left\\{\n", "\\begin{array}{l l}\n", " 1+t/\\pi & \\quad \\text{if } -\\pi < t < 0\\\\\n", " 1-t/\\pi & \\quad \\text{if } 0 < t < +\\pi\n", "\\end{array} \\right. $$\n", "$$ x(t + 2\\pi) = x(t), \\quad \\text{for all } t$$ \n", "\n", "3. Which are the amplitude, frequency, period, and phase of the functions in problems 1 and 2? \n", "\n", "4. Calculate the AC and DC components for the functions in problems 1 and 2. \n", "\n", "5. Which functions are even or odd in problems 1 and 2? \n", "\n", "6. The [power line frequency](https://en.wikipedia.org/wiki/Utility_frequency) in Brazil is about 60 Hz (same frequency in US and in Europe is 50 Hz, [see an on line measurement of the frequency in Europe here](https://www.mainsfrequency.com/)). The amplitude of the power line is usually 110 V RMS, where RMS stands for root mean square. \n", "For a discrete signal, RMS is given by:\n", "$$ RMS = \\sqrt{\\frac{1}{N}\\sum_{i=1}^{N} x_i^2} $$\n", "And for a continuous periodic signal with period $T$, RMS is given by:\n", "$$ RMS = \\frac{1}{T}\\int_{t_0}^{t_0+T} (x(t))^2 \\:\\mathrm{d}t $$\n", "If the power line waveform is a sinusoid, which is its amplitude that results in 110 V RMS? \n", "\n", "7. Calculate the average power and the RMS values for the signals in problem 1. \n", "\n", "8. Consider the continuous signal represented by the function $x(t) = 2\\sin(8\\pi t)$. \n", " a) Which would be the Nyquist frequency ($f_N$) of this signal? \n", " b) Plot discretized versions of this signal for the following sampling frequencies: $10f_N$, $2f_N$, $f_N$, and $f_N/2$. \n", "\n", "9. In scientific computing, it's common to use a random number generator to generate noise and add that to a signal.\n", "For example, the following code generates a sinusoid (signal) plus a random noise: \n", "```python \n", "t = np.linspace(0, 1, .01)\n", "x = np.sin(2*2*np.pi*t) + np.random.randn(t.size)/10\n", "``` \n", "Plot this function and play with different levels of noise. \n", "\n", "10. Write a code in Python that for a given input signal, calculates its average value, peak-to-peak amplitude, average power, and RMS values." ] }, { "cell_type": "markdown", "metadata": { "id": "Sat_y4sXwDF5" }, "source": [ "## References\n", "\n", "- Bendat JS, Piersol AG (2010) [Random Data: Analysis and Measurement Procedures](https://books.google.com.br/books?id=qYSViFRNMlwC). 4th Edition. John Wiley & Sons, Inc.\n", "- [dspGuru - Digital Signal Processing Central](https://www.dspguru.com/).\n", "- Lathi BP (2009) [Linear Systems and Signals](https://books.google.com.br/books?id=JC18PwAACAAJ). Oxford University Press.\n", "- Lyons RG (2010) [Understanding Digital Signal Processing](https://books.google.com.br/books?id=UBU7Y2tpwWUC&hl). 3rd edition. Prentice Hall.\n", "- Smith SW (1997) [The Scientist and Engineer's Guide to Digital Signal Processing](https://www.dspguide.com/). California Technical Pub." ] } ], "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": "3.11.6" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false }, "colab": { "provenance": [], "include_colab_link": true } }, "nbformat": 4, "nbformat_minor": 0 }