{ "cells": [ { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy\n", "\n", "# Graphing helper function\n", "def setup_graph(title='', x_label='', y_label='', fig_size=None):\n", " fig = plt.figure()\n", " if fig_size != None:\n", " fig.set_size_inches(fig_size[0], fig_size[1])\n", " ax = fig.add_subplot(111)\n", " ax.set_title(title)\n", " ax.set_xlabel(x_label)\n", " ax.set_ylabel(y_label)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The Nature of Waves\n", "\n", "We're mainly going to talk about sound waves, but many of these things will apply to other types of waves.\n", "\n", "## How do we represent waves?" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "freq = 1 #hz - cycles per second\n", "amplitude = 3\n", "time_to_plot = 2 # second\n", "sample_rate = 100 # samples per second\n", "num_samples = sample_rate * time_to_plot\n", "\n", "t = np.linspace(0, time_to_plot, num_samples)\n", "signal = [amplitude * np.sin(freq * i * 2*np.pi) for i in t] # Explain the 2*pi\n", "\n", "setup_graph(x_label='time (in seconds)', y_label='amplitude', title='time domain')\n", "plt.plot(t, signal)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## In the context of sound, what would a wave like this represent?\n", "\n", "* Answer: Changes in air pressure\n", "* When the graph is above x=0, the pressure of the air is more than \"normal\" (air is moving toward you)\n", "* When the graph is below x=0, the pressure of the air is less than \"normal\" (air is moving away from you)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Example of a real sound wave" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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xqFVsCSE2CiF+JIT4lRDiDiHE21r3rxJCfE8IcbcQ4rtCiBXGYy4SQtwjhPi1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ug2iO2W4KrI2XLHugkwLwjQOjDJ9BbNzWfGDDu2q1fXWxRouxEuWmRX8h2amq1QZ0uTRuhqtuos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\nwwGt2Aqt2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import scipy.io.wavfile\n", "\n", "(sample_rate, input_signal) = scipy.io.wavfile.read(\"audio_files/vowel_ah.wav\")\n", "time_array = np.arange(0, len(input_signal)/sample_rate, 1/sample_rate)\n", "setup_graph(title='Ah vowel sound', x_label='time (in seconds)', y_label='amplitude', fig_size=(14,7))\n", "_ = plt.plot(time_array[0:4000], input_signal[0:4000])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The Superposition Principle\n", "\n", "* If you add a bunch of waves together, it forms one wave.\n", "* Hearing me talk while knocking on the desk\n", "\n", "# Example" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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I+/cHLrzQ7x6KJKejR4E5c3hsTZ3KILhfPwa9/fsDNWr43UM5lWAwiGAweOz5mDFjYj4x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\nFi1i27kTyMjge3XwYKBHD43ApLrDh4E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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Two subplots, the axes array is 1-d\n", "x = np.linspace(0, 2 * np.pi, 100)\n", "y1 = 5 * np.sin(x)\n", "y2 = 0 * np.sin(2*x)\n", "y3 = 3 * np.sin(3*x)\n", "y4 = 2 * np.sin(4*x)\n", "\n", "f, axarr = plt.subplots(4, sharex=True, sharey=True)\n", "f.set_size_inches(12,6)\n", "axarr[0].plot(x, y1)\n", "axarr[1].plot(x, y2)\n", "axarr[2].plot(x, y3)\n", "axarr[3].plot(x, y4)\n", "_ = plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5/fq+k0g0FCyoDYUiIhI93g9SMcbkAz4APrLWPpnFc2yvXr3+/jglJYWUlBQA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\n2LQCLSIiEVWpkiugH33Ud5LgGDoUrrt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "setup_graph(x_label='time', y_label='amplitude', title='y1+y2+y3+y4', fig_size=(12,6))\n", "convoluted_wave = y1 + y2 + y3 + y4\n", "_ = plt.plot(x, convoluted_wave)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Wave Interference Example\n", "\n", "### This is how noise-canceling headphones work" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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sJ7InONicZbBrlxTK0RUcHExwcHCUv88RG/wua637R7TBTymVCIiltb6plEoM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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y5 = np.sin(3 * x)\n", "y6 = -1 * np.sin(3 * x)\n", "\n", "f, axarr = plt.subplots(3, sharex=True, sharey=True)\n", "f.set_size_inches(12,6)\n", "axarr[0].plot(x, y5, 'b')\n", "axarr[1].plot(x, y6, 'g')\n", "axarr[2].plot(x, y5 + y6, 'r')\n", "_ = plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }