{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"FMP\"\n", "\"AudioLabs\"\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"C6\"\n", "

Novelty: Comparison of Approaches

\n", "
\n", "\n", "
\n", "\n", "

\n", "In this notebook, we compare different approaches for computing novelty functions, see Section 6.1 of [Müller, FMP, Springer 2015]. An overview of onset detection methods can also be found in the following articles:\n", " \n", "

\n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Approaches for Novelty Computation\n", "\n", "In the previous notebooks, we introduced four different approaches for computing a novelty function: \n", "\n", "* [Energy-based novelty approach](../C6/C6S1_NoveltyEnergy.html)\n", "* [Spectral-based novelty approach](../C6/C6S1_NoveltySpectral.html) \n", "* [Phase-based novelty approach](../C6/C6S1_NoveltyPhase.html)\n", "* [Complex-domain novelty approach](../C6/C6S1_NoveltyComplex.html) \n", "\n", "All approaches go along with a number of parameters and may be combined with suitable post-processing strategies. Using the default parameter settings of `libfmp`, we compare the four approaches with the excerpt of \"Another one bites the dust\" by Queen as introduced in the [FMP notebook on onset detection](../C6/C6S1_OnsetDetection.html).\n", "\n", "\"FMP_C6_F01.png\"\n", "\n", "
\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:47:51.184348Z", "iopub.status.busy": "2024-02-15T08:47:51.184046Z", "iopub.status.idle": "2024-02-15T08:47:54.777830Z", "shell.execute_reply": "2024-02-15T08:47:54.777313Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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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" } ], "source": [ "import numpy as np\n", "import os, sys, librosa\n", "from scipy import signal\n", "from scipy.interpolate import interp1d\n", "from scipy import ndimage\n", "from matplotlib import pyplot as plt\n", "import IPython.display as ipd\n", "\n", "\n", "sys.path.append('..')\n", "import libfmp.b\n", "import libfmp.c2\n", "import libfmp.c6\n", "\n", "%matplotlib inline\n", "\n", "\n", "fn_ann = os.path.join('..', 'data', 'C6', 'FMP_C6_F01_Queen.csv')\n", "ann, label_keys = libfmp.c6.read_annotation_pos(fn_ann)\n", "\n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_F01_Queen.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs)\n", "x_dur = len(x)/Fs\n", "\n", "nov_dic = {}\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_energy(x, Fs=Fs, gamma=None)\n", "nov_dic.update( {0 : [nov, Fs_nov, r'Energy-based novelty function (Fs = %d)'%Fs_nov]} )\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_energy(x, Fs=Fs, gamma=1000)\n", "nov_dic.update( {1 : [nov, Fs_nov, 'Energy-based novelty function with compression (Fs = %d)'%Fs_nov]} )\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs)\n", "nov_dic.update( {2 : [nov, Fs_nov, 'Spectral-based novelty function (Fs = %d)'%Fs_nov]} )\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_phase(x, Fs=Fs)\n", "nov_dic.update( {3 : [nov, Fs_nov, 'Phase-based novelty function (Fs = %d)'%Fs_nov]} )\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_complex(x, Fs=Fs)\n", "nov_dic.update( {4 : [nov, Fs_nov, 'Complex-domain novelty function (Fs = %d)'%Fs_nov]} )\n", "\n", "for k in nov_dic:\n", " fig, ax, line = libfmp.b.plot_signal(nov_dic[k][0], Fs=nov_dic[k][1], \n", " color='k', title=nov_dic[k][2])\n", " libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time Axis Resampling\n", "\n", "The different approaches may lead to novelty functions with different features rates. To directly compare or even combine these novelty functions, we now introduce a **resampling approach** for adjusting the feature rate. More generally, the approach transforms an input signal with a given feature rate (`Fs_in`) into another signal with a given target frame rate (`Fs_out`) using [**linear interpolation**](../C2/C2_STFT-FreqGridInterpol.html). As an example, this function is then apply to convert the complex-domain novelty function (with a feature rate of $344.531~\\mathrm{Hz}$) into a novelty function with a target feature of $100~\\mathrm{Hz}$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:47:54.780623Z", "iopub.status.busy": "2024-02-15T08:47:54.780374Z", "iopub.status.idle": "2024-02-15T08:47:54.988766Z", "shell.execute_reply": "2024-02-15T08:47:54.988030Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def resample_signal(x_in, Fs_in, Fs_out=100, norm=True, time_max_sec=None, sigma=None):\n", " \"\"\"Resample and smooth signal\n", "\n", " Notebook: C6/C6S1_NoveltyComparison.ipynb\n", "\n", " Args:\n", " x_in (np.ndarray): Input signal\n", " Fs_in (scalar): Sampling rate of input signal\n", " Fs_out (scalar): Sampling rate of output signal (Default value = 100)\n", " norm (bool): Apply max norm (if norm==True) (Default value = True)\n", " time_max_sec (float): Duration of output signal (given in seconds) (Default value = None)\n", " sigma (float): Standard deviation for smoothing Gaussian kernel (Default value = None)\n", "\n", " Returns:\n", " x_out (np.ndarray): Output signal\n", " Fs_out (scalar): Feature rate of output signal\n", " \"\"\"\n", " if sigma is not None:\n", " x_in = ndimage.gaussian_filter(x_in, sigma=sigma)\n", " T_coef_in = np.arange(x_in.shape[0]) / Fs_in\n", " time_in_max_sec = T_coef_in[-1]\n", " if time_max_sec is None:\n", " time_max_sec = time_in_max_sec\n", " N_out = int(np.ceil(time_max_sec*Fs_out))\n", " T_coef_out = np.arange(N_out) / Fs_out\n", " if T_coef_out[-1] > time_in_max_sec:\n", " x_in = np.append(x_in, [0])\n", " T_coef_in = np.append(T_coef_in, [T_coef_out[-1]])\n", " x_out = interp1d(T_coef_in, x_in, kind='linear')(T_coef_out)\n", " if norm:\n", " x_max = max(x_out)\n", " if x_max > 0:\n", " x_out = x_out / max(x_out)\n", " return x_out, Fs_out\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_complex(x, Fs)\n", "libfmp.b.plot_signal(nov, Fs=1, xlabel='Time (samples)', color='k', \n", " title='Fs = %0.1f'%Fs_nov);\n", "\n", "nov_out, Fs_out = resample_signal(nov, Fs_in=Fs_nov, Fs_out=100)\n", "libfmp.b.plot_signal(nov_out, Fs=1, xlabel='Time (samples)', color='k',\n", " title='Fs = %0.1f'%Fs_out);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reducing the feature rate via **linear interpolation** may be problematic in cases where a novelty function has peak-like structures that are strongly localized in time. In such cases, the peak may be attenuated by the resampling approach. This is demonstrated by the following example, which shows the phase-based novelty function. One possible strategy to better preserve the peak structure is to apply a **smoothing filter** prior to the resampling (at the cost of smearing the temporal localization)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:47:54.993037Z", "iopub.status.busy": "2024-02-15T08:47:54.992629Z", "iopub.status.idle": "2024-02-15T08:47:55.368176Z", "shell.execute_reply": "2024-02-15T08:47:55.367639Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 2, gridspec_kw={'width_ratios': [1,1], 'height_ratios': [1,1]}, \n", " figsize=(10,4))\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_phase(x, Fs)\n", "libfmp.b.plot_signal(nov, Fs=1, ax=ax[0,0], xlabel='Time (samples)', color='k', \n", " title='Original novelty function (Fs = %0.1f)'%Fs_nov)\n", "\n", "nov_out, Fs_out = resample_signal(nov, Fs_in=Fs_nov, Fs_out=100)\n", "libfmp.b.plot_signal(nov_out, ax=ax[1,0], Fs=1, xlabel='Time (samples)', color='k', \n", " title='Novelty function after resampling (Fs = %0.1f)'%Fs_out);\n", "\n", "Fs_out = Fs_nov\n", "nov_smooth, Fs_out = resample_signal(nov, Fs_in=Fs_nov, Fs_out=Fs_out, sigma=4)\n", "libfmp.b.plot_signal(nov_smooth, Fs=1, ax=ax[0,1], xlabel='Time (samples)', color='k', \n", " title='Smoothed novelty function (Fs = %0.1f)'%Fs_nov)\n", "\n", "Fs_out = 100\n", "nov_smooth_out, Fs_out = resample_signal(nov, Fs_in=Fs_nov, Fs_out=Fs_out, sigma=2)\n", "libfmp.b.plot_signal(nov_smooth_out, ax=ax[1,1], Fs=1, xlabel='Time (samples)', color='k', \n", " title='Smoothed novelty function after resampling (Fs = %0.1f)'%Fs_out);\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Matrix-Based Visualization and Averaging \n", "\n", "After converting different novelty function to a common discrete time axis, one can easily visualize these functions in a color-coded form. This is demonstrated by the following example, which shows five different novelty functions (as shown above) as well as the average of these functions. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:47:55.370946Z", "iopub.status.busy": "2024-02-15T08:47:55.370761Z", "iopub.status.idle": "2024-02-15T08:47:55.522994Z", "shell.execute_reply": "2024-02-15T08:47:55.522255Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def average_nov_dic(nov_dic, time_max_sec, Fs_out=100, norm=True, sigma=None):\n", " \"\"\"Average respamples set of novelty functions\n", "\n", " Notebook: C6/C6S1_NoveltyComparison.ipynb\n", "\n", " Args:\n", " nov_dic (dict): Dictionary of novelty functions\n", " time_max_sec (float): Duration of output signals (given in seconds)\n", " Fs_out (scalar): Sampling rate of output signal (Default value = 100)\n", " norm (bool): Apply max norm (if norm==True) (Default value = True)\n", " sigma (float): Standard deviation for smoothing Gaussian kernel (Default value = None)\n", "\n", " Returns:\n", " nov_matrix (np.ndarray): Matrix containing resampled output signal (last one is average)\n", " Fs_out (scalar): Sampling rate of output signals\n", " \"\"\"\n", " nov_num = len(nov_dic)\n", " N_out = int(np.ceil(time_max_sec*Fs_out))\n", " nov_matrix = np.zeros([nov_num + 1, N_out])\n", " for k in range(nov_num):\n", " nov = nov_dic[k][0]\n", " Fs_nov = nov_dic[k][1]\n", " nov_out, Fs_out = resample_signal(nov, Fs_in=Fs_nov, Fs_out=Fs_out,\n", " time_max_sec=time_max_sec, sigma=sigma)\n", " nov_matrix[k, :] = nov_out\n", " nov_average = np.sum(nov_matrix, axis=0)/nov_num\n", " if norm:\n", " max_value = np.max(nov_average)\n", " if max_value > 0:\n", " nov_average = nov_average / max_value\n", " nov_matrix[nov_num, :] = nov_average\n", " return nov_matrix, Fs_out\n", "\n", "cmap = libfmp.b.compressed_gray_cmap(alpha=1)\n", "Fs_out = 100\n", "nov_matrix, Fs_out = average_nov_dic(nov_dic, time_max_sec=x_dur, Fs_out=Fs_out)\n", "\n", "plt.figure(figsize=[8,3])\n", "ax = plt.subplot(1,1,1)\n", "im = ax.imshow(nov_matrix, cmap=cmap, aspect='auto', clim=[0,1],\n", " extent=[0, x_dur, nov_matrix.shape[0]+0.5, 0.5], interpolation='nearest')\n", "ax.set_xlabel('Time (seconds)')\n", "ax.set_yticks([1,2,3,4,5,6])\n", "ax.set_yticklabels([r'Energy', r'EnergyLog', r'Spectral', r'Phase', r'Complex', r'Average'])\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur);\n", "plt.colorbar(im)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As discussed above, it may be beneficial to apply apply a **smoothing filter** prior to the resampling a novelty curve. Furthermore, smoothing also makes the averaging less vulnerable to small temporal deviations across different novelty functions. A similar smoothing strategy is used prior to differentiation (see the [FMP notebook on structure features](../C4/C4S4_StructureFeature.html)) and prior to applying harmonic summation (see the [FMP notebook on salience representations](../C8/C8S2_SalienceRepresentation.html)). The effect of smoothing is illustrated by the next figure. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:47:55.526157Z", "iopub.status.busy": "2024-02-15T08:47:55.525956Z", "iopub.status.idle": "2024-02-15T08:47:55.845741Z", "shell.execute_reply": "2024-02-15T08:47:55.845189Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Fs_out = 100\n", "sigma = 2\n", "nov_matrix_smooth, Fs_out = average_nov_dic(nov_dic, time_max_sec=x_dur, \n", " Fs_out=Fs_out, sigma=sigma)\n", "\n", "plt.figure(figsize=[8,3])\n", "ax = plt.subplot(1,1,1)\n", "im = ax.imshow(nov_matrix_smooth, cmap=cmap, aspect='auto', clim=[0,1],\n", " extent=[0, x_dur, nov_matrix.shape[0]+0.5, 0.5], interpolation='nearest')\n", "ax.set_xlabel('Time (seconds)')\n", "ax.set_yticks([1,2,3,4,5,6])\n", "ax.set_yticklabels([r'Energy', r'EnergyLog', r'Spectral', r'Phase', r'Complex', r'Average'])\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur);\n", "plt.colorbar(im)\n", "plt.tight_layout()\n", "\n", "fig, ax, line = libfmp.b.plot_signal(nov_matrix[-1,:], Fs=Fs_out, \n", " color='k', title='Average novelty function without smoothing')\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur) \n", "\n", "fig, ax, line = libfmp.b.plot_signal(nov_matrix_smooth[-1,:], Fs=Fs_out, \n", " color='k', title='Average novelty function with smoothing')\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Note C4\n", "\n", "As second example, we consider the note $\\mathrm{C}4$ played by different instruments (piano, trumpet, violin, flute). While most novelty functions show a prominent peak in the case of a piano sound, there are less prominent peaks and many additional spurious peaks in the case of the other instruments (see also our discussion in the [FMP notebook on onset detection](../C6/C6S1_OnsetDetection.html)). " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:47:55.848422Z", "iopub.status.busy": "2024-02-15T08:47:55.848239Z", "iopub.status.idle": "2024-02-15T08:47:56.720962Z", "shell.execute_reply": "2024-02-15T08:47:56.720309Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fn_ann = os.path.join('..', 'data', 'C6', 'FMP_C6_F04_NoteC4_PTVF.csv')\n", "ann, label_keys = libfmp.c6.read_annotation_pos(fn_ann, label='onset', header=0)\n", "\n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_F04_NoteC4_PTVF.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs)\n", "x_dur = len(x)/Fs\n", "\n", "nov_dic = {}\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_energy(x, Fs=Fs, gamma=None)\n", "nov_dic.update( {0 : [nov, Fs_nov, 'Energy-based novelty function']} )\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_energy(x, Fs=Fs, gamma=1000)\n", "nov_dic.update( {1 : [nov, Fs_nov, 'Energy-based novelty function with compression']} )\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs)\n", "nov_dic.update( {2 : [nov, Fs_nov, 'Spectral-based novelty function']} )\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_phase(x, Fs=Fs)\n", "nov_dic.update( {3 : [nov, Fs_nov, 'Phase-based novelty function']} )\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_complex(x, Fs=Fs)\n", "nov_dic.update( {4 : [nov, Fs_nov, 'Complex-domain novelty function']} )\n", "\n", "Fs_out = 100\n", "sigma = 8\n", "nov_matrix_smooth, Fs_out = average_nov_dic(nov_dic, time_max_sec=x_dur, \n", " Fs_out=Fs_out, sigma=sigma)\n", "\n", "plt.figure(figsize=[8,3])\n", "ax = plt.subplot(1,1,1)\n", "im = ax.imshow(nov_matrix_smooth, cmap=cmap, aspect='auto', clim=[0,1],\n", " extent=[0, x_dur, nov_matrix.shape[0]+0.5, 0.5], interpolation='nearest')\n", "ax.set_xlabel('Time (seconds)')\n", "ax.set_yticks([1,2,3,4,5,6])\n", "ax.set_yticklabels([r'Energy', r'EnergyLog', r'Spectral', r'Phase', r'Complex', r'Average'])\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur);\n", "plt.colorbar(im)\n", "plt.tight_layout() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Shostakovich\n", "\n", "In general, the **spectral-based approach** for novelty computation turns out to yield more stable and qualitatively better results than the other approaches. Also, this approach is less sensitive to specific parameter setting than, e.g., approaches that involve phase information. In practice, one often uses a combination of different approaches and parameter settings. Also, an additional decomposition of the input signal in frequency subbands and a subband-wise novelty computation has turned out to be helpful. \n", "\n", "In the following, we compare the spectral-based approach with other approaches. As an example, we use an excerpt of an orchestra recording of the Waltz No. 2 from the Suite for Variety Orchestra No. 1 by Dimitri Shostakovich. The score shows a piano-reduced version of the excerpt.\n", "\n", "\"FMP_C6_F07_Shostakovich_Waltz-02-Section_Score.png\"\n", "\n", "
\n", "\n", "\n", "\n", "The first beats (downbeats) of the $3/4$ meter are played softly by nonpercussive instruments, leading to relatively weak and blurred onsets. In contrast, the second and third beats are played sharply (\"staccato\"), supported by percussive instruments. These properties are also reflected by the spectral-based novelty function. The peaks that correspond to downbeats are hardly visible or even missing, whereas the peaks that correspond to the percussive beats are much more pronounced. Note that, for this complex audio signal, the energy-based and phase-based approaches yield very noisy novelty functions.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:47:56.724190Z", "iopub.status.busy": "2024-02-15T08:47:56.724017Z", "iopub.status.idle": "2024-02-15T08:47:57.475363Z", "shell.execute_reply": "2024-02-15T08:47:57.474759Z" } }, "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" } ], "source": [ "fn_ann = os.path.join('..', 'data', 'C6', 'FMP_C6_F07_Shostakovich_Waltz-02-Section_IncreasingTempo.csv')\n", "ann, label_keys = libfmp.c6.read_annotation_pos(fn_ann, label='onset', header=0)\n", "\n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_F07_Shostakovich_Waltz-02-Section_IncreasingTempo.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs)\n", "x_dur = len(x)/Fs\n", "\n", "N, H = 2048, 512\n", "gamma = 10\n", "\n", "figsize=(8,2)\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs, N=N, H=H, gamma=gamma)\n", "fig, ax, line = libfmp.b.plot_signal(nov, Fs_nov, figsize=figsize, color='k', \n", " title='Spectral-based novelty function');\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur);\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_energy(x, Fs=Fs, gamma=None)\n", "fig, ax, line = libfmp.b.plot_signal(nov, Fs_nov, figsize=figsize, color='k', \n", " title='Energy-based novelty function');\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur);\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_phase(x, Fs=Fs)\n", "fig, ax, line = libfmp.b.plot_signal(nov, Fs_nov, figsize=figsize, color='k', \n", " title='Phase-based novelty function');\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur);\n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_complex(x, Fs=Fs)\n", "fig, ax, line = libfmp.b.plot_signal(nov, Fs_nov, figsize=figsize, color='k', \n", " title='Complex-domain novelty function');\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_dur);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Notes\n", "\n", "In this notebook, we have compared different novelty functions that are computed in conceptually different ways. The properties of a novelty function also crucially depend on the underlying parameters such as STFT parameters, window sizes for pre- and postprocessing, logarithmic compressions, and so on. Furthermore, in our implementation, we simply used differences between subsequent frames as a discrete approximation of the derivative. Here, one may apply **higher-order numerical differentiation** methods to better approximate the derivative. Besides the novelty function, subsequent processing steps such as [peak picking](../C6/C6S1_PeakPicking.html) may have a significant influence on the onset detection quality. Finally, in the implementation step, one needs to take care of normalization and padding conventions, which may lead to systematic differences and drifts." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller and Angel Villar-Corrales.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "
\"C0\"\"C1\"\"C2\"\"C3\"\"C4\"\"C5\"\"C6\"\"C7\"\"C8\"
" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 1 }