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@lightondust
Last active August 12, 2018 13:29
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src/sound/sound_separation.ipynb
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "5a707e6cda112c26703ce48b3313c195 \nhttps://gist.github.com/lightondust/5a707e6cda112c26703ce48b3313c195"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "TODO:\n\n- 音源の位置情報\n - 時間相関から位置割り出し\n - 音量から位置割り出し\n - 特定の位置にフォーカスした音抽出\n- フレーム処理"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from pydub import AudioSegment\nimport glob, os, sys\nimport numpy as np\nimport matplotlib.pyplot as plt",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "file_dir = '../../data/sound/'\nfile_name = 'speech_obama_trump.wav'\nfile_path = os.path.join(file_dir, file_name)",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from ipywidgets import interact",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def plot_data(data, pos, length=100):\n plt.plot(data[pos : pos+length])",
"execution_count": 4,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# 音声データ数値化"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 読み込み"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "audio = AudioSegment.from_file(file_path)",
"execution_count": 5,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "audio.sample_width",
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"text/plain": "2"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "signal_raw = np.fromstring(audio._data, np.int16)",
"execution_count": 7,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "signal_raw.shape",
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 8,
"data": {
"text/plain": "(79374336,)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "audio.channels",
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"text/plain": "6"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "signal_arr = []\n\nfor chn in range(audio.channels):\n signal_arr.append(signal_raw[chn::audio.channels])\n\nsignal_arr = np.array(signal_arr)",
"execution_count": 14,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "signal_arr.shape",
"execution_count": 15,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 15,
"data": {
"text/plain": "(6, 13229056)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "signal_arr = signal_arr[1:5].T.astype(np.float)",
"execution_count": 17,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "signal_arr.shape",
"execution_count": 18,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 18,
"data": {
"text/plain": "(13229056, 4)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "signal_std = signal_arr.std(axis=0)\n\nsignal_std",
"execution_count": 16,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 16,
"data": {
"text/plain": "array([ 190.07345071, 164.38133173, 108.69337606, ..., 651.51577537,\n 533.16145668, 392.37382969])"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 音声データの特徴を見る"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def plot_data(pos, length=100):\n plt.plot(signal_arr[pos : pos+length])",
"execution_count": 19,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "start = 1100\nintvl_length = 2000\nstep = 100\ninteract(plot_data, pos=(start,start+intvl_length,step), length=(0,10000,1))",
"execution_count": 116,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "interactive(children=(IntSlider(value=2100, description='pos', max=3100, min=1100, step=100), IntSlider(value=100, description='length', max=10000), Output()), _dom_classes=('widget-interact',))",
"text/html": "<p>Failed to display Jupyter Widget of type <code>interactive</code>.</p>\n<p>\n If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n that the widgets JavaScript is still loading. If this message persists, it\n likely means that the widgets JavaScript library is either not installed or\n not enabled. See the <a href=\"https://ipywidgets.readthedocs.io/en/stable/user_install.html\">Jupyter\n Widgets Documentation</a> for setup instructions.\n</p>\n<p>\n If you're reading this message in another frontend (for example, a static\n rendering on GitHub or <a href=\"https://nbviewer.jupyter.org/\">NBViewer</a>),\n it may mean that your frontend doesn't currently support widgets.\n</p>\n",
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "f90e094bc1b74273807c581c72372a41"
}
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 116,
"data": {
"text/plain": "<function __main__.plot_data>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sig = signal_arr[:,0]",
"execution_count": 53,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "position = 270000\nvec = signal_arr[position:position+2200:1,0].astype(np.float)",
"execution_count": 212,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sig_c = np.correlate(vec, vec,\"full\")",
"execution_count": 213,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(sig_c)",
"execution_count": 214,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 214,
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x144d4d6a0>]"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x144c05710>",
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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "vec",
"execution_count": 198,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 198,
"data": {
"text/plain": "array([ 452, 518, 581, 626, 646, 644, 638, 658, 725, 837, 961,\n 1044, 1043, 951, 803, 655, 552, 498, 468, 426], dtype=int32)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sig_c",
"execution_count": 199,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 199,
"data": {
"text/plain": "array([ 192552, 432204, 715026, 1046052, 1439498, 1911378,\n 2466801, 3096823, 3780507, 4492753, 5210340, 5914195,\n 6590464, 7232785, 7843561, 8427451, 8981281, 9480630,\n 9880703, 10133068, 9880703, 9480630, 8981281, 8427451,\n 7843561, 7232785, 6590464, 5914195, 5210340, 4492753,\n 3780507, 3096823, 2466801, 1911378, 1439498, 1046052,\n 715026, 432204, 192552], dtype=int32)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sig_c.shape",
"execution_count": 156,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 156,
"data": {
"text/plain": "(239,)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "vec = np.sin(0.005*np.arange(0,10000)) + np.sin(0.01*np.arange(0,10000)+0.5)",
"execution_count": 133,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "step = 100\nsample_num = 5000\nposition = 5* 10**5\nres = np.array([])\nframe_no = 5000\n\nfor count in range(0, frame_no):\n pos = position + count * step\n temp = np.sum(abs(signal_arr[pos : pos+sample_num]), axis=0)\n if res.shape[0]:\n res = np.vstack((res, temp))\n else:\n res = temp",
"execution_count": 62,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "res_sum = np.sum(res, axis=1).reshape(-1,1).repeat(4, axis=1)",
"execution_count": 63,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "res.shape, res_sum.shape",
"execution_count": 64,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 64,
"data": {
"text/plain": "((5000, 4), (5000, 4))"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "res/res_sum",
"execution_count": 65,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 65,
"data": {
"text/plain": "array([[ 0.26954496, 0.2623257 , 0.23657692, 0.23155242],\n [ 0.27005121, 0.26135043, 0.23689347, 0.23170489],\n [ 0.27036835, 0.26075552, 0.23635041, 0.23252572],\n ..., \n [ 0.25062266, 0.26800177, 0.25330477, 0.2280708 ],\n [ 0.24930066, 0.26929382, 0.2535996 , 0.22780592],\n [ 0.24895085, 0.26942683, 0.25336189, 0.22826042]])"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(res/res_sum)",
"execution_count": 66,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 66,
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x1075127f0>,\n <matplotlib.lines.Line2D at 0x107512940>,\n <matplotlib.lines.Line2D at 0x107512a90>,\n <matplotlib.lines.Line2D at 0x107512be0>]"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x107492f98>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 尖度に基づくica"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "https://keik.github.io/battlefield-acoustics/bss-with-ica.html"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import pyaudio\nimport scipy.io.wavfile as wav\nfrom scipy.stats import kurtosis\nfrom IPython.display import display, Audio\n%matplotlib inline",
"execution_count": 59,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "FORMAT = pyaudio.paInt16\nCHANNELS = 1\nRATE = 44100\nCHUNK = 1024\nRECORD_SECONDS = 5",
"execution_count": 60,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## sklearnのfast-ica"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "\nfrom scipy import signal\n\nfrom sklearn.decomposition import FastICA, PCA",
"execution_count": 16,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "pos = 7000\nlength = 10\nplt.plot(signal_arr[pos : pos+length])",
"execution_count": 69,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 69,
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x1759def28>,\n <matplotlib.lines.Line2D at 0x1757710b8>,\n <matplotlib.lines.Line2D at 0x175771208>,\n <matplotlib.lines.Line2D at 0x175771358>]"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x1755afd30>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Compute ICA\nica = FastICA(n_components=4)\nsignal_est = ica.fit_transform(signal_arr) # Reconstruct signals\nA_ = ica.mixing_ # Get estimated mixing matrix",
"execution_count": 50,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "signal_est.shape",
"execution_count": 51,
"outputs": [
{
"data": {
"text/plain": "(13229056, 4)"
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "np.max(abs(signal_est))",
"execution_count": 52,
"outputs": [
{
"data": {
"text/plain": "0.0090565907684380092"
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "audio_est = np.max(abs(signal_arr))/np.max(abs(signal_est), axis=0) * signal_est",
"execution_count": 53,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "audio_est = audio_est.astype(np.int16)",
"execution_count": 54,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "audio_est.shape",
"execution_count": 55,
"outputs": [
{
"data": {
"text/plain": "(13229056, 4)"
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "test = AudioSegment(\n audio_est.tobytes(), \n sample_width=2, \n frame_rate=44100, \n channels=4,\n )",
"execution_count": 56,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "test.export(\"../../data/sound/speech_obama_trump_est4c.wav\", format=\"wav\")",
"execution_count": 57,
"outputs": [
{
"data": {
"text/plain": "<_io.BufferedRandom name='../../data/sound/speech_obama_trump_est4c.wav'>"
},
"execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A_",
"execution_count": 41,
"outputs": [
{
"data": {
"text/plain": "array([[ 717618.49011195, -276964.53613108, 106940.42532459],\n [ 683955.97825907, 138892.305049 , 402684.41701508],\n [ 741874.33767586, 113253.0511186 , 15012.53515968],\n [ 659589.97733663, -100331.86878776, -256587.949452 ]])"
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# 例"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 尖度に基づくica"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "- http://keik-117.hatenablog.com/entry/2016/07/01/185011\n- https://keik.github.io/battlefield-acoustics/bss-with-ica.html"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import pyaudio\nimport scipy.io.wavfile as wav\nfrom scipy.stats import kurtosis\nfrom IPython.display import display, Audio\n%matplotlib inline",
"execution_count": 59,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "FORMAT = pyaudio.paInt16\nCHANNELS = 1\nRATE = 44100\nCHUNK = 1024\nRECORD_SECONDS = 5",
"execution_count": 60,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## sklearnのica 例"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# #############################################################################\n# Generate sample data\nnp.random.seed(0)\nn_samples = 2000\ntime = np.linspace(0, 8, n_samples)\n\ns1 = np.sin(2 * time) # Signal 1 : sinusoidal signal\ns2 = np.sign(np.sin(3 * time)) # Signal 2 : square signal\ns3 = signal.sawtooth(2 * np.pi * time) # Signal 3: saw tooth signal\n\nS = np.c_[s1, s2, s3]\nS += 0.2 * np.random.normal(size=S.shape) # Add noise",
"execution_count": 59,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(S)",
"execution_count": 60,
"outputs": [
{
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x135fb4c18>,\n <matplotlib.lines.Line2D at 0x135fb4d68>,\n <matplotlib.lines.Line2D at 0x135fb4eb8>]"
},
"execution_count": 60,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": "<matplotlib.figure.Figure at 0x135e9c278>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "s_std = S.std(axis=0)\nS /= s_std # Standardize data\n# Mix data\nA = np.array([[1, 1, 1], [0.5, 2, 1.0], [1.5, 1.0, 2.0]]) # Mixing matrix\nX = np.dot(S, A.T) # Generate observations",
"execution_count": 66,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Compute ICA\nica = FastICA(n_components=3)\nS_ = ica.fit_transform(X) # Reconstruct signals\nA_ = ica.mixing_ # Get estimated mixing matrix",
"execution_count": 36,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "/usr/local/Cellar/python3/3.6.4/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/scipy/linalg/basic.py:1226: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n warnings.warn(mesg, RuntimeWarning)\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# We can `prove` that the ICA model applies by reverting the unmixing.\nnp.allclose(X, np.dot(S_, A_.T) + ica.mean_)",
"execution_count": 41,
"outputs": [
{
"data": {
"text/plain": "True"
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# For comparison, compute PCA\npca = PCA(n_components=3)\nH = pca.fit_transform(X) # Reconstruct signals based on orthogonal components",
"execution_count": 42,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# #############################################################################\n# Plot results\n\nplt.figure()\n\nmodels = [X, S, S_, H]\nnames = ['Observations (mixed signal)',\n 'True Sources',\n 'ICA recovered signals',\n 'PCA recovered signals']\ncolors = ['red', 'steelblue', 'orange']\n\nfor ii, (model, name) in enumerate(zip(models, names), 1):\n plt.subplot(4, 1, ii)\n plt.title(name)\n for sig, color in zip(model.T, colors):\n plt.plot(sig, color=color)\n\nplt.subplots_adjust(0.09, 0.04, 0.94, 0.94, 0.26, 0.46)\nplt.show()",
"execution_count": 43,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x1341dc978>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(S_)",
"execution_count": 70,
"outputs": [
{
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x1369c8b70>,\n <matplotlib.lines.Line2D at 0x1369c8cc0>,\n <matplotlib.lines.Line2D at 0x1369c8e10>]"
},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x136d4b898>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(S)",
"execution_count": 71,
"outputs": [
{
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x136dcbda0>,\n <matplotlib.lines.Line2D at 0x136dcbef0>,\n <matplotlib.lines.Line2D at 0x136ddf080>]"
},
"execution_count": 71,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x136b04780>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(X)",
"execution_count": 69,
"outputs": [
{
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x13647fb70>,\n <matplotlib.lines.Line2D at 0x13647fcc0>,\n <matplotlib.lines.Line2D at 0x13647fe10>]"
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x13640ab00>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A_",
"execution_count": 76,
"outputs": [
{
"data": {
"text/plain": "array([[-46.02147955, 42.50809743, 45.32804372],\n [-44.05919471, 21.19031463, 88.65606826],\n [-91.72748329, 61.75542772, 44.5776646 ]])"
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "np.linalg.eig(A_)",
"execution_count": 75,
"outputs": [
{
"data": {
"text/plain": "(array([ 34.28505579+25.41568397j, 34.28505579-25.41568397j,\n -48.82361190 +0.j ]),\n array([[-0.56374517+0.08877685j, -0.56374517-0.08877685j, 0.19126693+0.j ],\n [-0.70787104+0.j , -0.70787104-0.j , -0.72183777+0.j ],\n [-0.38471756-0.15881135j, -0.38471756+0.15881135j, 0.66510691+0.j ]]))"
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/5a707e6cda112c26703ce48b3313c195"
},
"gist": {
"id": "5a707e6cda112c26703ce48b3313c195",
"data": {
"description": "src/sound/sound_separation.ipynb",
"public": true
}
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.6.4",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"toc": {
"nav_menu": {
"width": "230px",
"height": "370px"
},
"number_sections": true,
"sideBar": false,
"skip_h1_title": false,
"toc_cell": false,
"toc_position": {
"height": "470px",
"left": "1522px",
"right": "20px",
"top": "201px",
"width": "212px"
},
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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