02_Generate_a_sound_that_resembles_violin.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np, matplotlib.pyplot as plt, matplotlib.ticker as ticker, IPython.display as ipd\n",
    "import librosa, librosa.display"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generate a sound that resembles violin\n",
    "\n",
    "The code below is a simplified version of the [Karplus-Strong string synthesis algorithm](https://en.wikipedia.org/wiki/Karplus%E2%80%93Strong_string_synthesis). It is covered in Week 1 of [a really good DSP MOOC on Coursera](https://www.coursera.org/learn/dsp) (lecture 1.3.b).\n",
    "\n",
    "This is what the full Karplus-Strong algorithm looks like\n",
    "\n",
    "![Karplus-Strong diagram from Wikipedia](https://upload.wikimedia.org/wikipedia/commons/thumb/b/bb/Karplus-strong-schematic.svg/519px-Karplus-strong-schematic.svg.png)\n",
    "\n",
    "You can find more information on the algorithm on [Wikipedia](https://en.wikipedia.org/wiki/Karplus%E2%80%93Strong_string_synthesis) which is where the above image was taken from.\n",
    "\n",
    "We start with a sawtooth wave. It tries to simulate the mechanics of plucking a string.\n",
    "\n",
    "> \"When you drag a bow across the string of the violin, the little teeth in the bow's strings are picking the string, displacing it and then when the tension gets too big, the strings jumps back in the original position.\"  - [lecture 1.3.b](https://www.coursera.org/learn/dsp)\n",
    "\n",
    "Let's first generate the finite support of our signal. It will be 100 samples in length. The idea is to repeat it over time attenuating it by some decay factor, say 0.95."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6ee3fd4a90>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = np.linspace(0, 100, num=100)\n",
    "support = (t - 50) / 50\n",
    "ax = plt.subplot()\n",
    "ax.plot(t, support)\n",
    "ax.plot(t, [0]*100, 'r--')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use a sampling rate of 16 khz and let's generate a signal that lasts 1 second."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "sr = 16000\n",
    "decay = 0.95\n",
    "\n",
    "signal = support\n",
    "\n",
    "for i in range(sr // 100 - 1):\n",
    "    signal = np.hstack((signal, support * decay**i))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6ee3eff9b0>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(signal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6ee3e74588>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(signal[:2000])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ipd.Audio(signal, rate=16000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Doesn't sound half bad! There is a variation on this algorithm that does even better and should produce a sound resembling the harpsichord.\n",
    "\n",
    "Instead of starting with a saw tooth wave, the algorithm prescribes using uniformly sampled random values. Also, the decay factor should be a bit lower, around 0.9."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<StemContainer object of 3 artists>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "support = np.random.rand(100) * 2 - 1\n",
    "plt.stem(support, markerfmt='o', bottom=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "sr = 16000\n",
    "decay = 0.9\n",
    "\n",
    "signal = support\n",
    "\n",
    "for i in range(sr // 100 - 1):\n",
    "    signal = np.hstack((signal, support * decay**i))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6ee24c1940>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(signal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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