{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# CS 583 -- Fall, 2021 -- Homework 3\n", "\n", "\n", "### Due date: Due Friday, November 19th, @ midnight in GradeScope with 1 day grace period\n", "\n", "\n", "### General Instructions\n", "\n", "Please complete this notebook by filling in solutions where indicated. Be sure to \"Run All\" from the Cell menu before submitting. \n", "\n", " " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# General useful imports\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import librosa \n", "import librosa.display\n", "from IPython.display import Audio\n", "\n", "from scipy import signal\n", "\n", "from scipy.signal import find_peaks, windows\n", "\n", "%matplotlib inline\n", "\n", "# Basic audio parameters\n", "\n", "SR = 22050 # sample rate default for Librosa\n", "\n", "# Utility functions\n", "\n", "# Round to 4 decimal places\n", "\n", "def round4(x):\n", " return np.around(x,4) \n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def makeSignal(S=[(440,1,0)], A = None, duration=1.0,sr=SR):\n", " X = np.zeros(int(sr*duration)) \n", " T = np.arange(int(sr*duration))\n", " for (f,amp,phi) in S: \n", " X += amp * np.sin( 2 * np.pi * f * T / sr + phi )\n", " X / max(X) # normalize to amplitude 1.0\n", " if(A == None):\n", " return X \n", " else:\n", " return A * X " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# get signal array and sample rate from a local audio file, will resample to \n", "# default SR of 22050\n", "\n", "import soundfile as sf\n", "import io\n", "import warnings\n", "\n", "from six.moves.urllib.request import urlopen\n", "\n", "def readSignal(name,sr=None): \n", " if(name[:5] == 'https'):\n", " with warnings.catch_warnings():\n", " warnings.simplefilter(\"ignore\")\n", " X, fileSR = sf.read(io.BytesIO(urlopen(name).read())) \n", " else:\n", " with warnings.catch_warnings():\n", " warnings.simplefilter(\"ignore\")\n", " X, fileSR = librosa.load(name)\n", " if((sr == None) or (fileSR == sr)):\n", " return X\n", " else:\n", " return librosa.resample(X,fileSR,SR) \n", "\n", "# write signal array out to a file in your local directory (or to complete path name)\n", "\n", "def writeSignal(name,data,sr=SR):\n", " sf.write(name,data,sr)\n", " " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Display \n", "\n", "\n", "def displaySignal(X, sr=SR, title='Signal Window for X',x_units = \"Seconds\", figsize=(14,6),gridlines=False): \n", " \n", " if(x_units == \"Seconds\"):\n", " T = np.arange(0, len(X)/sr, 1/sr)\n", " elif(x_units == \"Milliseconds\"):\n", " T = np.arange(0, 1000*len(X)/sr, 1000/sr)\n", " elif(x_units == \"Samples\"):\n", " T = np.arange(len(X))\n", "\n", " plt.figure(figsize=figsize) # Set x and y dimensions of window: may need to redo for your display\n", " plt.title(title, fontsize=14, fontweight='bold')\n", " if(x_units==\"Samples\"):\n", " plt.xlabel(\"Sample Number\")\n", " else:\n", " plt.xlabel(x_units)\n", " plt.ylabel(\"Amplitude\")\n", " plt.ylim([-1.1,1.1])\n", " plt.plot([0,T[-1]],[0,0],color='black') # draw the 0 line in black\n", " plt.plot(T,X) \n", " plt.grid(gridlines) # if you want dotted grid lines\n", " plt.show()\n", " \n", "# test\n", "\n", "# f = 10\n", "# X = makeSignal([(10,1,0)])\n", "# displaySignal(X,gridlines=True)\n", "\n", "# displaySignal(X,x_units=\"Samples\")\n", "\n", "# displaySignal(X,x_units=\"Milliseconds\")\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# display the waveform using librosa\n", "\n", "def displaySignal2(x,sr=SR,title='Signal X',):\n", " plt.figure(figsize=(12,6))\n", " plt.title(title)\n", " plt.ylim([-1.1,1.1]) # if you want the full range -1 .. 1, else will adapt to signal\n", " plt.plot([0,librosa.get_duration(x)],[0,0],linewidth=1,color='k') # if you want a 0 line\n", " #plt.grid() # if you want gridlines\n", " librosa.display.waveshow(x,sr=sr)\n", " plt.show()\n", " \n", "# X = readSignal(k + \"trumpet_A4_1_forte_normal.wav\")\n", "\n", "# displaySignal(X)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def realFFT(X):\n", " return 2*abs(np.fft.rfft(X))/len(X) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem One: Peak Picking\n", "\n", "As with frequency detection, a fundamental part of the process of detecting onsets is\n", "to pick the appropriate peaks once candidate onsets have been detected. \n", "\n", "Unfortunately, our naive strategy from HW 02 is no longer sufficient, and we will use\n", "the function `find_peak` from the `scipy.signal` library, which you can read about here:\n", "\n", "https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.find_peaks.html\n", "\n", "(There is a nice example of peak picking in an electrocardiogram there which you should look over.)\n", "\n" ] }, { "attachments": { "Screen%20Shot%202021-11-07%20at%208.37.27%20AM.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Part of the *art* of audio processing is figuring out the right hyper-parameters for the peaking-picking\n", "algorithm (we will see this throughout the MIR part of the course). \n", "\n", "Three of the most useful are\n", "\n", "1. **height** -- minimum height of a peak (we called this the *threshold* in hw02); \n", "2. **distance** -- minimum distance between peaks (to avoid multiple peaks at same onset);\n", "3. **prominence** -- relative height compared with nearby peaks; from Wikipedia: \"The prominence of a peak may be defined as the least drop in height necessary in order to get from the summit to any higher terrain.\" \n", "\n", "![Screen%20Shot%202021-11-07%20at%208.37.27%20AM.png](attachment:Screen%20Shot%202021-11-07%20at%208.37.27%20AM.png)\n", "\n", "The values assigned for these are the units used on the y-axis, or `None`; for a peak to be selected it must satisfy all non-None parameters. You can also specify a min-max range of values (see the documentation for more details). \n", "\n", "Here is the example from lecture (I found it on Stack Overflow):" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# I used a (noisy) frequency-varying sinusoid on purpose because it shows many difficulties. \n", "# We can see that the width parameter is not very useful here because if you set a minimum \n", "# width too high, then it won't be able to track very close peaks in the high frequency part. \n", "# If you set width too low, you would have many unwanted peaks in the left part of the signal. \n", "# Same problem with distance. threshold only compares with the direct neighbours, which is not \n", "# useful here. prominence is the one that gives the best solution. Note that you can combine \n", "# many of these parameters!\n", "\n", "np.random.seed(0)\n", "x1 = np.sin(2*np.pi*(2**np.linspace(2,10,1000))*np.arange(1000)/48000) + np.random.normal(0, 1, 1000) * 0.15\n", "\n", "peaks, _ = find_peaks(x1, distance=20)\n", "peaks2, _ = find_peaks(x1, prominence=1) # BEST!\n", "peaks3, _ = find_peaks(x1, width=20)\n", "peaks4, _ = find_peaks(x1, threshold=0.4) # Required vertical distance to its direct neighbouring samples, pretty useless\n", "plt.figure(figsize=(12,6))\n", "plt.subplot(2, 2, 1)\n", "plt.plot(peaks, x1[peaks], \"xr\"); plt.plot(x1); plt.legend(['distance'])\n", "plt.subplot(2, 2, 2)\n", "plt.plot(peaks2, x1[peaks2], \"ob\"); plt.plot(x1); plt.legend(['prominence'])\n", "plt.subplot(2, 2, 3)\n", "plt.plot(peaks3, x1[peaks3], \"vg\"); plt.plot(x1); plt.legend(['width'])\n", "plt.subplot(2, 2, 4)\n", "plt.plot(peaks4, x1[peaks4], \"xk\"); plt.plot(x1); plt.legend(['threshold'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (A)\n", "\n", "We are going to simply explore these three parameters so that you are comfortable with solving problems using peak picking. \n", "\n", "First, let us explore the `height` parameter (called *threshold* in the last homework). \n", "\n", "For the following, replace the `None` for the height parameter with a value which will generate only the topmost 5 peaks:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x1a = x1[:100]\n", "peaks,_ = find_peaks(x1a,height=0.2,prominence=None,distance=None) \n", "\n", "plt.figure(figsize=(12,4))\n", "plt.title(\"Picking Peaks\")\n", "plt.plot(peaks, x1a[peaks], \"or\")\n", "plt.plot(x1a)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (B)\n", "\n", "Next, replace the `None` for the height parameter with a range `[lo,hi]` which will generate the 5 peaks *closest* to 0.0 (hint: make the range symmetric around 0.0):" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "peaks,_ = find_peaks(x1a,height=None,prominence=None,distance=None) \n", "\n", "plt.figure(figsize=(12,4))\n", "plt.title(\"Picking Peaks\")\n", "plt.plot(peaks, x1a[peaks], \"or\")\n", "plt.plot(x1a)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (C)\n", "\n", "Next, the distance parameter will reject any peak that is too close to the previous peak. \n", "\n", "For the following, provide parameters for the `height` and `distance` parameters which \n", "are within 0.1 of 0, and which are at least 10 units apart:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "peaks,_ = find_peaks(x1a,height=None,prominence=None,distance=None) \n", "\n", "plt.figure(figsize=(12,4))\n", "plt.title(\"Picking Peaks\")\n", "plt.plot(peaks, x1a[peaks], \"or\")\n", "plt.plot(x1a)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (D)\n", "\n", "The `prominence` parameter appears to be the most useful for general audio applications. \n", "\n", "Provide a value for `prominence` which will select the best 5 peaks (from the point of view of prominence):" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "peaks,_ = find_peaks(x1a,height=None,prominence=None,distance=None) \n", "\n", "plt.figure(figsize=(12,4))\n", "plt.title(\"Picking Peaks\")\n", "plt.plot(peaks, x1a[peaks], \"or\")\n", "plt.plot(x1a)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (E)\n", "\n", "Find the top 5 peaks (from the point of view of prominence) which are of height between 0.1 and 0.3 and no closer than 10 units. \n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "peaks,_ = find_peaks(x1a,height=None,prominence=None,distance=None) \n", "\n", "plt.figure(figsize=(12,4))\n", "plt.title(\"Picking Peaks\")\n", "plt.plot(peaks, x1a[peaks], \"or\")\n", "plt.plot(x1a)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Onset Detection\n", "\n", "There are several ways to approach the subject of *onset detection*, basically looking at different sliding windows and determining when changes occur in various attributes such as amplitude or spectra. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem Two\n", "\n", "First we need to create an amplitude-based onset detector, as demonstrated in lecture. \n", "\n", "Complete the following template, with detailed instructions in each place where you need to write code. " ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.027100000000000003" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = np.array([.1, .2, -0.1, 0.22])\n", "\n", "\n", "np.mean(a ** 2)\n", "\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Amplitude-based onset detection\n", "\n", "def AmplitudeBasedOnsets(X,\n", " window_size=512, # width of the analysis window, in samples\n", " hop_length=128, # how far to move the window each time (could also called \"hop_length\")\n", " scale=10, # scaling factor for log transformation\n", " # Peak picking parameters: \n", " height=None, # minimum height (we called this threshold in hw02) \n", " prominence=None, # relative height compared with nearby peaks; see lecture for details\n", " distance=None, # minimum distance between peaks (to avoid multiple peaks at same onset)\n", " displayAll=False): # To print out displays of various signals\n", " \n", " \n", " # Normalize amplitude of X so maximum is 1.0\n", " \n", " # your code here \n", " \n", " X = X / np.max(X)\n", " \n", " # Create the energy envelope by using the sliding window technique to calculate the energy\n", " # in each window and storing it in a numpy array X_energy. The energy in a window is the mean \n", " # of the squared samples. \n", " \n", " # Hints: Easiest is probably to create empty list and append the energy measurements in \n", " # a for loop, then convert to numpy array at end. You should end up with (N // hop_length) - 1\n", " # values in the array; don't worry about it if the last window is not full size. \n", " # Could also do with a list comprehension. \n", "\n", " # your code here \n", " \n", "\n", " \n", " \n", " # The energy in a window is the mean of the squared samples\n", "\n", " X_energy = [] # your code here \n", " \n", "\n", " \n", " if(displayAll):\n", " plt.figure(figsize=(12,4))\n", " plt.title(\"X Energy Signal\")\n", " plt.plot(X_energy)\n", " plt.show()\n", "\n", " # take the log with scaling factor: np.log(1.0 + scale * X_energy)\n", " # if scale = None, do nothing\n", "\n", " if(scale == None):\n", " X_energy_log = X_energy # your code here \n", " else:\n", " X_energy_log = \n", " \n", " \n", "\n", " if(displayAll):\n", " plt.figure(figsize=(12,4))\n", " plt.title(\"Log X Energy Signal with scale factor \"+str(scale))\n", " plt.plot(X_energy_log)\n", " plt.show()\n", "\n", " # Calculate the novelty function (first difference) using np.diff(...)\n", " # Watch out: np.diff(...) changes the array IN PLACE, so make a copy beforehand if you want\n", " # (debugging is easier if you have all the successive arrays)\n", " \n", " # Optional: add 0 at beginning before taking difference so have exactly the same number of values as X_energy\n", " \n", " # your code here \n", "\n", " X_energy_novelty = [] # your code here \n", " \n", " if(displayAll):\n", " plt.figure(figsize=(12,4))\n", " plt.title(\"X Energy Novelty\")\n", " plt.plot(X_energy_novelty)\n", " plt.show()\n", " \n", " # Now perform half-wave recification by setting all values < 0 to 0. \n", " # Hint: I provided this in problem 5.\n", "\n", " X_energy_novelty_rectified = [] \n", " \n", " # Now normalize the novelty so the maximum is 1.0; this will make choosing hyper-parameters more consistent\n", " \n", " # your code here\n", " \n", " if(displayAll):\n", " plt.figure(figsize=(12,4))\n", " plt.title(\"Rectified X Energy Novelty\")\n", " plt.plot(X_energy_novelty_rectified)\n", " plt.show()\n", "\n", " # peak picking using parameters from the argument list: height, prominence, and distance\n", "\n", " peaks,_ = find_peaks(X_energy_novelty_rectified,height=height,prominence=prominence,distance=distance) \n", " \n", " plt.figure(figsize=(12,4))\n", " plt.title(\"Picking Peaks\")\n", " plt.plot(peaks, X_energy_novelty_rectified[peaks], \"or\")\n", " plt.plot(X_energy_novelty_rectified)\n", " plt.show()\n", " \n", " # peaks is a list of indices in X_energy_novelty_rectified where peaks were identified; you need to\n", " # convert from indices in X_energy_novelty_rectified (one value for each sliding window) to sample numbers in X.\n", " # Important: calculate the location from the MIDDLE of the window. \n", " \n", " onsets = [] # your code here \n", "\n", " plt.figure(figsize=(12,4))\n", " plt.title(\"Signal with Onsets\")\n", " plt.plot(X) \n", " for k in range(len(onsets)):\n", " plt.plot([onsets[k],onsets[k]],[-1,1],color='r') \n", " plt.show()\n", " \n", " clicks = librosa.clicks(times=onsets/SR, sr=SR, hop_length=hop_length, length=len(X))\n", " \n", " return (onsets,clicks)\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "W = window numbers\n", "\n", "S = sample numbers\n", "\n", "T = time (in seconds)\n", "\n", "W = 2\n", "\n", "S = W*hop_length\n", "\n", "T = S / SR\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Test your code!" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X1 = readSignal(\"https://www.cs.bu.edu/fac/snyder/cs583/AudioSamples/thelick.wav\") \n", "X1 = np.concatenate([np.zeros(500),X1]) # add silence to beginning or else can't find first onset\n", "displaySignal(X1)\n", "Audio(X1,rate=SR)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "ename": "TypeError", "evalue": "only integer scalar arrays can be converted to a scalar index", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m (onsets1,clicks1) = AmplitudeBasedOnsets(X1,\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mwindow_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m512\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mhop_length\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m128\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mscale\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mprominence\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m\u001b[0m in \u001b[0;36mAmplitudeBasedOnsets\u001b[0;34m(X, window_size, hop_length, scale, height, prominence, distance, displayAll)\u001b[0m\n\u001b[1;32m 94\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m4\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 95\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtitle\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Picking Peaks\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 96\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpeaks\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mX_energy_novelty_rectified\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mpeaks\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"or\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 97\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_energy_novelty_rectified\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 98\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mTypeError\u001b[0m: only integer scalar arrays can be converted to a scalar index" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "(onsets1,clicks1) = AmplitudeBasedOnsets(X1,\n", " window_size=512,\n", " hop_length=128,\n", " scale=100,\n", " prominence=0.2,\n", " displayAll=True\n", " )\n", "\n", "plt.figure(figsize=(12,6))\n", "plt.title(\"The Lick with Clicks\")\n", "plt.plot(X1)\n", "plt.plot(clicks1,color='r')\n", "plt.show()\n", "\n", "Audio([X1,clicks1],rate=SR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem Three: Hyper-parameter tuning\n", "\n", "For the most part, the process of onset detection is the process of exploring\n", "the settings for the `find_peak` algorithm (we will explore window size and hop length\n", "in the next problem). \n", "\n", "For the following signals, find the best values for the parameters `height`, `prominence`, and `distance`\n", "for determining the onsets, at least according to your ears. In the last part, you will comment on what\n", "you have learned. \n", "\n", "Hint: You do not need to use every parameter every time. I would suggest starting with prominence and then adding other parameters as needed. You may also want to play around with the `scale` parameter, which should emphasize lower-amplitude parts of the signal. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (A)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "X3a = readSignal(\"https://www.cs.bu.edu/fac/snyder/cs583/AudioSamples/AnotherOneBitesTheDust.wav\")\n", "X3a = X3a[:SR*10] # just select the first 10 seconds\n", "displaySignal(X3a)\n", "Audio(X3a,rate=SR)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "(onsets3a,clicks3a) = AmplitudeBasedOnsets(X3a,\n", " window_size=513,\n", " hop_length=256,\n", " scale=None,\n", " prominence=None,\n", " distance=None,\n", " displayAll=True\n", " )\n", "\n", "plt.figure(figsize=(13,6))\n", "plt.title(\"Another One Bites The Dust (Queen)\")\n", "plt.plot(X3a)\n", "plt.plot(clicks3a,color='r')\n", "plt.show()\n", "\n", "Audio([X3a,clicks3a],rate=SR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (B)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "X3b,_ = librosa.load(librosa.ex('trumpet'))\n", "\n", "X3b = np.concatenate([np.zeros(11025),X3b]) # add silence at end so can find first onset\n", "\n", "displaySignal(X3b)\n", "Audio(X3b,rate=SR)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# your code here\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (C)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "X3c,_ = librosa.load(librosa.ex('choice'))\n", "\n", "X3c = X3c[:SR*10]\n", "\n", "displaySignal(X3c)\n", "Audio(X3c,rate=SR)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# Your code here\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (D)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "X3d = readSignal(\"https://www.cs.bu.edu/fac/snyder/cs583/AudioSamples/SoWhat.KindOfBlue_01.wav\")\n", "\n", "\n", "displaySignal(X3d)\n", "Audio(X3d,rate=SR)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# Your code here\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (E)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "X3e = readSignal(\"https://www.cs.bu.edu/fac/snyder/cs583/AudioSamples/Tigran_Hamasyan_01.wav\")\n", "\n", "\n", "displaySignal(X3e)\n", "Audio(X3e,rate=SR)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# Your code here\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (F)\n", "\n", "Explain in a paragraph what you discovered about the role of the various parameters. \n", "\n", "1. I found the prominence to be the most useful, is this what you also think?\n", "\n", "2. Did height play a role in any of the choices you made? \n", "\n", "3. How about distance?\n", "\n", "4. How about scale?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem Four: Exploring the role of window size and hop length\n", "\n", "Now we will explore how the window size and the hop length (called *skip* in previous homeworks)\n", "affect the process of finding onsets. Since the window size determines the temporal resolution of\n", "the analysis, we would expect that shorter windows provide better onset measurements. \n", "\n", "We will use the Karplus-Strong C major scale; each onset occurs at precisely half-second intervals;\n", "since we know *exactly* where the onsets are, we can evaluate how accurate our measurements are" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# First test: Karplus-Strong C major scale, with each note at 0.5 sec intervals\n", "\n", "X4 = readSignal(\"https://www.cs.bu.edu/fac/snyder/cs583/AudioSamples/KS.guitar.C.scale.wav\") \n", "\n", "displaySignal(X4)\n", "Audio(X4,rate=SR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (A)\n", "\n", "For this first part, just find parameters that work for this example (should be easy after doing the previous problem). Use a window size of 512 and hop length of 256, as in the previous problem. " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "\n", "(onsets4,clicks4) = AmplitudeBasedOnsets(X4,\n", " window_size=513,\n", " hop_length=256,\n", " scale=None,\n", " prominence=None,\n", " distance=None,\n", " displayAll=True\n", " ) \n", "\n", "plt.figure(figsize=(12,6))\n", "plt.plot(X4)\n", "plt.plot(clicks4,color='r')\n", "plt.show()\n", "\n", "Audio([X4,clicks4],rate=SR) \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (B)\n", "\n", "Now we will determine the accuracy of the measurements. There are several steps:\n", "\n", "1. You must find the actual time in seconds for each of your onsets, using the return value `onsets4` in the first part of the pair returned by `AmplitudeBasedOnsets`. This is a simple calculation using the sample rate. \n", "\n", "2. The *ground truth* for the onsets is that they occur precisely every 0.5 seconds. Compare your timings found in the previous step, and calculate the absolute value of the errors for each measurement. \n", "\n", "3. Report your accuracy as the *mean absolute error*. " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# your code here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (C)\n", "\n", "Now we would expect that if we make the window length and/or the hop length shorter, we would increase\n", "the accuracy of the measurement.\n", "\n", "Perform an experiment to test this thesis, and report on what you discover, and comment in particular\n", "on the following:\n", "\n", "1. Did it matter which of window length or hop length you changed? Which was the most important, or where they both important, perhaps in different ways?\n", "\n", "2. Was there a limit to how short you could make one or both of these and get good results? \n", "\n", "3. Assuming that you might potentially have to change the other hyper-parameters, what values (for all the parameters) gave you the best accuracy, as measured against the ground truth values?\n", "\n", "As always, SHOW ALL WORK. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Part (D)\n", "\n", "Pick one of the examples from the previous problem, and find the onsets using the \"best\" parameters determined from Part (C). If there are issues (perhaps the \"best\" does not work for a different sample), try adjusting\n", "all the parameters to achieve the best results. You don't have \"ground truth\" to work from, but do your best. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Onset Detection using Spectrograms\n", "\n", "Amplitude-based methods are limited because they ONLY use one dimension\n", "of the signal, its energy in the sliding windows. More sophisticated\n", "algorithms use the FFT and determine the *novelty* measure between the spectrum of the $n^{th}$ window and the previous window using a variety of distance metrics. We will use the following notations:\n", "$$X(n)\\ =\\ \\text{the spectrum of the $n^{th}$ window}$$ \n", "\n", "$$X(k,n)\\ =\\ \\text{the complex value of the $k^{th}$ frequency bin in }X(n) $$ \n", "\n", "$$|\\,X(k,n)\\,|\\ =\\ \\text{the magnitude of the complex number } X(k,n)$$ \n", "\n", "The only real difference from the previous, amplitude-based solution is that our *novelty function*\n", "will be different, as it compares the spectra for two adjacent windows, and not just the total energy. \n", "\n", "The following distance measures are useful in this setting, each of which uses the absolute value of\n", "the real magnitude of the complex value in the spectral bin. \n", " \n", "#### L1 Norm (Sum of Absolute Differences or Manhattan Streetcar Distance):\n", "\n", "$$L_1(n)\\ =\\ \\sum_{k=0}^K abs\\bigl(|\\,X(k,n)| - |X(k,n-1)|\\,\\bigr)$$ \n", "\n", "#### L2 Norm (Euclidean Distance or Spectral Flux):\n", "\n", "$$L_2(n)\\ =\\ \\sqrt{\\sum_{k=0}^K \\bigl(\\,|X(k,n)| - |X(k,n-1)|\\,\\bigr)^2}$$ \n", "\n", "\n", "#### Correlation Distance (CD):\n", "\n", "$$CD(n)\\ =\\ 1.0 - corr\\bigl(\\,|X(n)|, |X(n-1)|\\,\\bigr)$$ \n", "\n", "\n", "It has also been suggested that after subtracting the spectral bins, we could rectify the\n", "result, setting any negative values to 0, on the theory that negative values (where the spectral energy\n", "*decreased*) are not significant for onsets. Thus we could define rectified versions of the L1 and L2 norms:\n", "\n", "$$RL_1(n)\\ =\\ \\sum_{k=0}^K abs\\bigl(rect(|\\,X(k,n)| - |X(k,n-1)|)\\,\\bigr)$$ \n", "\n", "\n", "$$RL_2(n)\\ =\\ \\sqrt{\\sum_{k=0}^K \\bigl(\\,rect(|\\,X(k,n)| - |X(k,n-1)|)\\,\\bigr)^2}$$ \n", " \n", "\n", "where\n", "\n", "$$rect(x) \\ =\\ max(x,0).$$\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Onset detection using various distance measures\n", "\n", "def rectify(A):\n", " return np.maximum(A,np.zeros(len(A)))\n", "\n", "# S is previous spectrum, Sn is next one\n", "\n", "def spectral_distance(S,Sn,kind='L2'): # default is L2 norm\n", " S = np.abs(S) # just use magnitude of complex values\n", " Sn = np.abs(Sn)\n", " if(kind == 'L1'):\n", " return np.sum(np.abs(Sn-S))\n", " elif(kind == 'L2'):\n", " return (np.sum((Sn-S)**2))**0.5\n", " elif(kind == 'CD'): # Correlation Distance: 1 - correlation\n", " s = np.std(S) # must account for spectra with all 0's\n", " sn = np.std(Sn)\n", " if(np.isclose(s,0) or np.isclose(sn,0)):\n", " return 0.0\n", " else:\n", " return 1.0 - (((S - np.mean(S)) @ (Sn - np.mean(Sn))) / (len(S) * s * sn))\n", " elif(kind == 'RL1'):\n", " return np.sum(np.abs(rectify(Sn-S)))\n", " elif(kind == 'RL2'):\n", " return (np.sum(rectify(Sn-S)**2))**0.5 \n", " else:\n", " return None\n", " \n", "# simple test\n", "\n", "S = np.array([complex(1,0),complex(2,1),complex(3,-1),complex(4,0)])\n", "Sn = np.array([complex(2,2),complex(3,0),complex(2,0-2),complex(1,0)])\n", "\n", "print(\"L1\", spectral_distance(S,Sn,'L1'))\n", "print(\"L2\", spectral_distance(S,Sn,'L2'))\n", "print(\"CD\", spectral_distance(S,Sn,'CD'))\n", "print(\"RL1\", spectral_distance(S,Sn,'RL1'))\n", "print(\"RL2\", spectral_distance(S,Sn,'RL2'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It has also been suggested in the literature that filters may be applied to the novelty curve before peak picking. Here are the most common ones." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Apply a moving average smoothing filter to X, starting at index n//2 and ending\n", "# at len(X)-n//2-1, returning a new smoothed array;\n", " \n", "def movingAverageFilter(X,n=3): \n", " Y = np.copy(X)\n", " for i in range(n//2,len(X)-n//2):\n", " Y[i] = np.mean(X[i-n//2:i+n//2+1])\n", " return Y\n", "\n", " \n", "# Replace each X[i] by its difference from the mean of the surrounding\n", "# n points\n", "\n", "def subtractMAFilter(X,n=3):\n", " Y = np.copy(X)\n", " return Y - movingAverageFilter(X,n)\n", "\n", "# Apply a median smoothing filter to X, starting at index n/2 and ending\n", "# at len(X)-n/2-1, returning a new smoothed array;\n", " \n", "def medianFilter(X,n=3): \n", " Y = np.copy(X)\n", " for i in range(n//2,len(X)-n//2):\n", " Y[i] = np.median(X[i-n//2:i+n//2+1])\n", " return Y\n", "\n", "# To emphasize peaks, subtract the smoothed curve from the original\n", " \n", "def subtractMedianFilter(X,n=3):\n", " Y = np.copy(X)\n", " return Y - medianFilter(X,n)\n", "\n", "def applyFilter(X,kind=None,size=3):\n", " if(kind == 'MAF'):\n", " return movingAverageFilter(X,size)\n", " elif(kind == 'sMAF'):\n", " return subtractMAFilter(X,size)\n", " elif(kind == 'MF'):\n", " return medianFilter(X,size)\n", " elif(kind == 'sMF'):\n", " return subtractMedianFilter(X,size)\n", " \n", "# Examples with x1a from problem one\n", "\n", "plt.title(\"Original Signal\")\n", "plt.plot(x1a) \n", "plt.show()\n", "\n", "plt.title(\"Moving Average Filter, size 5\")\n", "plt.plot(applyFilter(x1a,'MAF',5)) \n", "plt.show()\n", "\n", "plt.title(\"Subtract Moving Average Filter, size 5\")\n", "plt.plot(applyFilter(x1a,'sMAF',5)) \n", "plt.show()\n", "\n", "plt.title(\"MedianFilter, size 10\")\n", "plt.plot(applyFilter(x1a,'MF',10)) \n", "plt.show()\n", "\n", "plt.title(\"Subtract Median Filter, size 10\")\n", "plt.plot(applyFilter(x1a,'sMF',10)) \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, it has also been suggested that each window is modified by a *window function* such\n", "as a triangular or Hann Window, which emphasizes the middle of the window. \n", "Recall that these would be applied to the analysis window by simply multiplying them element-wise (in Numpy\n", "this is just multiplying two arrays). " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [], "source": [ "from scipy.signal import windows\n", "\n", "# examples using x1a from problem one\n", "\n", "plt.title(\"Triangular Window of length 50\")\n", "plt.scatter(range(50), windows.triang(50) ) # the parameter is the window size\n", "plt.show()\n", "\n", "plt.title(\"Triangular Window Applied\")\n", "plt.plot(x1a) \n", "plt.plot(x1a * windows.triang(len(x1a)),color='r' ) \n", "plt.show()\n", "\n", "plt.title(\"Hann Window of length 50\")\n", "plt.scatter(range(50), windows.hann(50) )\n", "plt.show()\n", "\n", "plt.title(\"Hann Window Applied\")\n", "plt.plot(x1a) \n", "plt.plot(x1a * windows.hann(len(x1a)),color='r' ) \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " ### Problem 5\n", " \n", " For this problem, you will create an onset detector based on spectral energy, as discussed above.\n", "For the most part, you can just adapt your code from the amplitude-based detector, however,\n", "take note of the following points:\n", "\n", "1. You should use `realFFT(...)` instead of `energy` for each analysis window; the result will be an array instead of a scalar. \n", "\n", "2. When calculating the novelty function, you will use `spectral_distance` as follows:\n", "\n", " X_spectral_novelty = np.zeros(num_windows)\n", "\n", " for k in range(1,num_windows): #first value will be 0, length unchanged\n", " X_spectral_novelty[k] = spectral_distance(X_spectrogram[k-1],X_spectrogram[k],kind)\n", " \n", "3. To apply a windowing function (when `win!=None`), simply create the window the same length as the analysis window and multiply, as shown above. If you apply a windowing function, do it RIGHT BEFORE applying `realFFT`. \n", "\n", "4. Numpy will let you apply scalar functions (such as log) to arrays, so for the most part you can use the same code as in the amplitude case.\n", "\n", "5. In general, you do not need to apply half-wave rectification to the novelty function, because the distance functions always return non-negative values, however, the \"subtractive\" filters 'sMAF' and 'sMF' potentially DO produce negative values, so do apply rectification as usual. \n", "\n", "\n", "#### What to provide as your solution\n", "\n", "1. Fill in the template below and test it as shown.\n", "\n", "2. Pick TWO example signals from Problem Two and perform hyper-parameter tuning as before, but now consider the role of distance functions, filters, and windowing functions as potential hyper-parameters. DON'T pick the two easiest ones!\n", "\n", "3. Provide a paragraph of analysis of what you discovered, and in particular specify which distance function(s) worked the best, which did not work (if any), and whether filtering and applying window functions made a difference. Be sure to run your code showing the best choices for your two examples.\n", "\n", "You should try many different combinations, but you do not need to show all your experiments. \n", "\n", "How many cases should you try? This is hard to say, and depends on your interest and ambition. However,\n", "I would expect that after getting the code running you would spend at least 2 hours trying different\n", "combinations of hyper-parameters. Don't do it randomly! Try some general\n", "ideas, eliminate those that are not working, and pursue the ones that seem to work better. \n", "\n", "Your grade on this problem will reflect the amount of apparent effort. \n", "\n", "Fully investigating this, plus adding a few other ideas from the literature, would be a good project!\n", "\n", " " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ " \n", "def SpectralBasedOnsets(X,window_size=512,hop_length=256,\n", " kind = None, # distance function used, L1, L2, CD, SF1, SF2\n", " filtr = None, # filter applied before peak picking, if any, from ('MAF','sMAF','MF','sMF')\n", " size = 3, # size of kernel used in filter, if any\n", " win = None, # apply windowing function to window, if any ('hann','tri')\n", " scale=None, # scale factor for log, None = no log\n", " height=None, # these 3 parameters are for pick_peak,\n", " prominence=None, # any not equal to None will be applied\n", " distance=None,\n", " displayAll=False):\n", " \n", " # Your code here\n", " \n", " \n", " return (onsets,clicks)\n", "\n", "\n", " \n", "\n", "\n", "\n", " " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true }, "outputs": [], "source": [ "(P5,clicks5) = SpectralBasedOnsets(X4,window_size=512,hop_length=256,\n", " kind = 'L1', # distance function used, L1, L2, CD, SF1, SF2\n", " filtr = 'sMAF', # filter applied before peak picking, if any\n", " size = 3, # size of kernel used in filter\n", " win = None, # apply windowing function to window\n", " scale=10, # scale factor for log, None = no log\n", " height=None, # these 3 parameters are for pick_peak,\n", " prominence=0.3, # any not equal to None will be applied\n", " distance=None,\n", " displayAll=True)\n", "\n", "Audio([X4,clicks5],rate=SR)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 2 }