{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy, scipy, matplotlib.pyplot as plt, IPython.display as ipd\n", "import librosa, librosa.display\n", "import stanford_mir; stanford_mir.init()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "[← Back to Index](index.html)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Novelty Functions" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "To detect note onsets, we want to locate sudden changes in the audio signal that mark the beginning of transient regions. Often, an increase in the signal's amplitude envelope will denote an onset candidate. However, that is not always the case, for notes can change from one pitch to another without changing amplitude, e.g. a violin playing slurred notes.\n", "\n", "**Novelty functions** are functions which denote local changes in signal properties such as energy or spectral content. We will look at two novelty functions:\n", "\n", "1. Energy-based novelty functions (FMP, p. 306)\n", "2. Spectral-based novelty functions (FMP, p. 309)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Energy-based Novelty Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Playing a note often coincides with a sudden increase in signal energy. To detect this sudden increase, we will compute an **energy novelty function** (FMP, p. 307):\n", "\n", "1. Compute the short-time energy in the signal.\n", "2. Compute the first-order difference in the energy.\n", "3. Half-wave rectify the first-order difference." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "First, load an audio file into the NumPy array `x` and sampling rate `sr`. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(49613,) 22050\n" ] } ], "source": [ "x, sr = librosa.load('audio/simple_loop.wav')\n", "print(x.shape, sr)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Plot the signal:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14, 5))\n", "librosa.display.waveplot(x, sr)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Listen:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio(x, rate=sr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### RMS Energy" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "[`librosa.feature.rmse`](http://librosa.github.io/librosa/generated/librosa.feature.rmse.html#librosa.feature.rmse) returns the root-mean-square (RMS) energy for each frame of audio. We will compute the RMS energy as well as its first-order difference." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "hop_length = 512\n", "frame_length = 1024\n", "rmse = librosa.feature.rmse(x, frame_length=frame_length, hop_length=hop_length).flatten()\n", "rmse_diff = numpy.zeros_like(rmse)\n", "rmse_diff[1:] = numpy.diff(rmse)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(97,)\n", "(97,)\n" ] } ], "source": [ "print(rmse.shape)\n", "print(rmse_diff.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To obtain an energy novelty function, we perform **half-wave rectification** (FMP, p. 307) on `rmse_diff`, i.e. any negative values are set to zero. Equivalently, we can apply the function $\\max(0, x)$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "energy_novelty = numpy.max([numpy.zeros_like(rmse_diff), rmse_diff], axis=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot all three functions together:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "frames = numpy.arange(len(rmse))\n", "t = librosa.frames_to_time(frames, sr=sr)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 6))\n", "plt.plot(t, rmse, 'b--', t, rmse_diff, 'g--^', t, energy_novelty, 'r-')\n", "plt.xlim(0, t.max())\n", "plt.xlabel('Time (sec)')\n", "plt.legend(('RMSE', 'delta RMSE', 'energy novelty')) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Log Energy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The human perception of sound intensity is logarithmic in nature. To account for this property, we can apply a logarithm function to the energy before taking the first-order difference.\n", "\n", "Because $\\log(x)$ diverges as $x$ approaches zero, a common alternative is to use $\\log(1 + \\lambda x)$. This function equals zero when $x$ is zero, but it behaves like $\\log(\\lambda x)$ when $\\lambda x$ is large. This operation is sometimes called **logarithmic compression** (FMP, p. 310)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "log_rmse = numpy.log1p(10*rmse)\n", "log_rmse_diff = numpy.zeros_like(log_rmse)\n", "log_rmse_diff[1:] = numpy.diff(log_rmse)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "log_energy_novelty = numpy.max([numpy.zeros_like(log_rmse_diff), log_rmse_diff], axis=0)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 6))\n", "plt.plot(t, log_rmse, 'b--', t, log_rmse_diff, 'g--^', t, log_energy_novelty, 'r-')\n", "plt.xlim(0, t.max())\n", "plt.xlabel('Time (sec)')\n", "plt.legend(('log RMSE', 'delta log RMSE', 'log energy novelty')) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spectral-based Novelty Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two problems with the energy novelty function: \n", "\n", "1. It is sensitive to energy fluctuations belonging to the same note.\n", "2. It is not sensitive to spectral fluctuations between notes where amplitude remains the same." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, consider the following audio signal composed of pure tones of equal magnitude:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "sr = 22050\n", "def generate_tone(midi):\n", " T = 0.5\n", " t = numpy.linspace(0, T, int(T*sr), endpoint=False)\n", " f = librosa.midi_to_hz(midi)\n", " return numpy.sin(2*numpy.pi*f*t)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "x = numpy.concatenate([generate_tone(midi) for midi in [48, 52, 55, 60, 64, 67, 72, 76, 79, 84]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Listen:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio(x, rate=sr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The energy novelty function remains roughly constant:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "hop_length = 512\n", "frame_length = 1024\n", "rmse = librosa.feature.rmse(x, frame_length=frame_length, hop_length=hop_length).flatten()\n", "rmse_diff = numpy.zeros_like(rmse)\n", "rmse_diff[1:] = numpy.diff(rmse)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "energy_novelty = numpy.max([numpy.zeros_like(rmse_diff), rmse_diff], axis=0)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "frames = numpy.arange(len(rmse))\n", "t = librosa.frames_to_time(frames, sr=sr)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 4))\n", "plt.plot(t, rmse, 'b--', t, rmse_diff, 'g--^', t, energy_novelty, 'r-')\n", "plt.xlim(0, t.max())\n", "plt.xlabel('Time (sec)')\n", "plt.legend(('RMSE', 'delta RMSE', 'energy novelty')) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead, we will compute a **spectral novelty function** (FMP, p. 309):\n", "\n", "1. Compute the log-amplitude spectrogram.\n", "2. Within each frequency bin, $k$, compute the energy novelty function as shown earlier, i.e. (a) first-order difference, and (b) half-wave rectification.\n", "3. Sum across all frequency bins, $k$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Luckily, `librosa` has [`librosa.onset.onset_strength`](http://librosa.github.io/librosa/generated/librosa.onset.onset_strength.html) which computes a novelty function using spectral flux." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "spectral_novelty = librosa.onset.onset_strength(x, sr=sr)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "frames = numpy.arange(len(spectral_novelty))\n", "t = librosa.frames_to_time(frames, sr=sr)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 4))\n", "plt.plot(t, spectral_novelty, 'r-')\n", "plt.xlim(0, t.max())\n", "plt.xlabel('Time (sec)')\n", "plt.legend(('Spectral Novelty',))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Questions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Novelty functions are dependent on `frame_length` and `hop_length`. Adjust these two parameters. How do they affect the novelty function?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Try with other audio files. How do the novelty functions compare?" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "125_bounce.wav jangle_pop.mp3\r\n", "58bpm.wav latin_groove.mp3\r\n", "README.md oboe_c6.wav\r\n", "brahms_hungarian_dance_5.mp3 prelude_cmaj.wav\r\n", "busta_rhymes_hits_for_days.mp3 simple_loop.wav\r\n", "c_strum.wav simple_piano.wav\r\n", "clarinet_c6.wav sir_duke_piano_fast.mp3\r\n", "classic_rock_beat.wav sir_duke_piano_slow.mp3\r\n", "conga_groove.wav sir_duke_trumpet_fast.mp3\r\n", "\u001b[34mdrum_samples\u001b[m\u001b[m/ sir_duke_trumpet_slow.mp3\r\n", "funk_groove.mp3 tone_440.wav\r\n" ] } ], "source": [ "ls audio" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "[← Back to Index](index.html)" ] } ], "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }