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MAT240E Homework4
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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Owen Campbell\n",
"\n",
"MAT 240E\n",
"\n",
"Homework 4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rcParams['figure.figsize'] = (16, 4) #wide graphs by default"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy.io import wavfile\n",
"from scipy.interpolate import interp1d\n",
"from scipy.stats import moment\n",
"sources = []\n",
"sources.append((wavfile.read(\"media/01 Everlasting Light.wav\")))\n",
"sources.append((wavfile.read(\"media/01 P-Funk (Wants to Get Funked Up).wav\")))\n",
"sources.append((wavfile.read(\"media/02 fallingElevatorBlues.wav\")))\n",
"sources.append((wavfile.read(\"media/02 The Wilhelm Scream.wav\")))\n",
"sources.append((wavfile.read(\"media/1-01 Central Texas.wav\")))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 153
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def windowed_rms(input_sig, win_sizes = [512, 1024, 2048, 4096], hop=None):\n",
" rms_windows = []\n",
" for win_size in win_sizes:\n",
" if not hop:\n",
" hop = win_size/2 \n",
" window_start = arange(0, len(input_sig) - win_size, hop)\n",
" rms = []\n",
" for start in window_start:\n",
" w = input_sig[start: start+win_size].astype(float)\n",
" rms_inst = sqrt(mean(w**2))\n",
" rms.append(rms_inst)\n",
" rms_windows.append(rms)\n",
" return rms_windows, win_sizes"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Zero crossing Rate**"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[0][1]\n",
"sr - sources[0][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"in_sig = src_mono\n",
"zc = argwhere((in_sig[:-1]*in_sig[1:]) < 0)\n",
"\n",
"zc = r_[zc, argwhere(in_sig == 0)]\n",
"plot(in_sig);\n",
"plot(zc, zeros_like(zc), 'o');\n",
"duration = len(src_mono) / sr\n",
"xps = len(zc) / duration\n",
"print 'Black Keys - Everlasting Light'\n",
"print 'Zero crossings per second: {}'.format(xps)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Black Keys - Everlasting Light\n",
"Zero crossings per second: 22111\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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9YUsQfdxukQjCwE+U9H6YvPRS/LYGv9izx5twuMQ6PM48M7Xn0vnKLG8TCHPF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\nekloAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x114cc9e10>"
]
}
],
"prompt_number": 72
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[1][1]\n",
"sr - sources[1][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"in_sig = src_mono\n",
"zc = argwhere((in_sig[:-1]*in_sig[1:]) < 0)\n",
"\n",
"zc = r_[zc, argwhere(in_sig == 0)]\n",
"plot(in_sig);\n",
"plot(zc, zeros_like(zc), 'o');\n",
"duration = len(src_mono) / sr\n",
"xps = len(zc) / duration\n",
"print 'Parliament - P-Funk (Wants to Get Funked Up)'\n",
"print 'Zero crossings per second: {}'.format(xps)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Parliament - P-Funk (Wants to Get Funked Up)\n",
"Zero crossings per second: 20375\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ZdjVsGPljANL3WbR884323+aePfpBtyw3F7jggsBrrZYrLWecEb5MedNGOZRj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\np6O2AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x114c81b50>"
]
}
],
"prompt_number": 73
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[2][1]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"# Normalize\n",
"#abs_max = max(abs(src_mono.min().astype(float)), abs(src_mono.max().astype(float)))\n",
"#src_mono_norm = src_mono.astype(float) / abs_max\n",
"\n",
"in_sig = src_mono\n",
"zc = argwhere((in_sig[:-1]*in_sig[1:]) < 0)\n",
"\n",
"zc = r_[zc, argwhere(in_sig == 0)]\n",
"plot(in_sig);\n",
"plot(zc, zeros_like(zc), 'o');\n",
"duration = len(src_mono) / sources[0][0]\n",
"xps = len(zc) / duration\n",
"print 'Me - Falling Elevator Blues'\n",
"print 'Zero crossings per second: {}'.format(xps)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Me - Falling Elevator Blues\n",
"Zero crossings per second: 21718\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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VoAav4/HMcANnNbi7fLk7bbxU+fL1187jcsvKld6syxMik1ed5UmTokm3sjIz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\n",
"text": [
"<matplotlib.figure.Figure at 0x109e0a8d0>"
]
}
],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[3][1]\n",
"sr - sources[3][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"in_sig = src_mono\n",
"zc = argwhere((in_sig[:-1]*in_sig[1:]) < 0)\n",
"\n",
"zc = r_[zc, argwhere(in_sig == 0)]\n",
"plot(in_sig);\n",
"plot(zc, zeros_like(zc), 'o');\n",
"duration = len(src_mono) / sr\n",
"xps = len(zc) / duration\n",
"print 'James Blake - The Wilhelm Scream'\n",
"print 'Zero crossings per second: {}'.format(xps)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"James Blake - The Wilhelm Scream\n",
"Zero crossings per second: 21209\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ORLT7kJXJrUIfPRq/3Z2Y9XtLicNu9z1mDR+61R0QERERuYMBbxxIhJagifQM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\n+Wagvj543A9/GD6Nk0dm9WoVZ80KfD7vvNAbSeFu6CxaBHz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/5Fa237rVOV1RoQpehYXq\nRH4llvdo2zaRe+5xThcXqyDaqjNnVGCkuXRJFbit+ugjfVCzd69Ke2NZvFikpMQ53b27KmxYlZoq\ncvq0c3rCBHUhsOrmm9XJX/PQQ/qCsesyo9pake3bndNnz4r07av+rKit9R7Mm3nxRf2xeumSKiRZ\n9fXX+mPn4kXfvjtvcnNVgcgfFy/q88Lo44/rVlZkZFjfP6APTt56y3t+e1NTI/LOO/q0+XIeKSz0\nbf3vvvMenB886AzA3KmpcRbG3Fm0SP2W6uPAAWeB//Rp/45xqyorfcu7zZtVgc+TkSP1vyVAHdOB\n8M03+sJkSYk69hYuVAGsiApMjMGWN+fP1//YbUqXLjnPOc8+q66/rgEFIPKHP+jPA7NmqUDDqLJS\n/QdEunVzzl+7VhXAX3hBTefnez/2vX2P3bqpyp7rr1fvc/my+t+jh/rftav766f2WSIj1fTWraoC\nJz1dzV+yRKXz4kVVcWp08KD6HbmeVwoLRUJCVOUSoI4fu91z2l0dOaKOuwULRGbMUPOMFbBamseO\nVdN//rPI0KHqtXbenD5dVVg8/bRIRIRaf9EitUy7nmh596tfifz61+r1jh3OgFejVRpqlRnGv4MH\n1fFh/F6nTlWv33tPfYe7d4v88peeg3pv+Xv0qPO8UFys0j5smNrWblfTJ0/q87iqSv3+NK++qi9T\narS0Z2Soa0XHjnXT9+abap3qamdF4TXXqAqa114TcSkS+6S2Vv3WPKmu1n+358+r43Pnzrrr/v73\nKi82blSVN+PGBa7cQGSVPwFvyJUdNGshISEIgo9BZEltLVBdHfineTZXO3eqfm/fhzEHq6uBt98G\nHnqoqVNCgVBSoh5GFqhmuzU1ap8N0by4uRMBtm0DiotVV4HWrX37TS9YoJpsNuTYs+fPA1VVqml0\nSIjqr9uunfsndwPARx8B587VfTCar4qKVFN6YzHn3DnVX9KXp8UbiaimzNpnSE9X42sXFFjb/osv\nVDqs9t/es0ddw8yepF9TA2zc6L57S3Gx6p7h7nt/8EFg0iTVpaqszHv/ZW8WLQL++U/1+QJt/nzV\nZL62lmMlE/nCn3iPAS8RERERERF9b/kT7/k1LBERERERERHR9xUDXiIiIiIiIgpKDHiJiIiIiIgo\nKDHgJSIiIiIioqDEgJeIiIiIiIiCEgNeIiIiIiIiCkoMeImIiIiIiCgoMeAlIiIiIiKioMSAl4iI\niIiIiIISA14iIiIiIiIKSgx4iYiIiIiIKCgx4CUiIiIiIqKgxICXiIiIiIiIghIDXiIiIiIiIgpK\nDHiJiIiIiIgoKDHgJSIiIiIioqDEgJeIiIiIiIiCEgNeatZyc3ObOgnUhJj/LRfzvmVj/rdczPuW\njflP9eF3wPvyyy+jVatWKC8vd8ybP38+YmNj0bNnT2zevNkxf+fOnUhISEBsbCyefvppx/xLly7h\ngQceQGxsLPr374+jR486lr3xxhu48cYbceONN2LVqlX+JpeCDE98LRvzv+Vi3rdszP+Wi3nfsjH/\nqT78CniLi4uxZcsW3HDDDY55Bw4cQEZGBg4cOIDs7GxMnToVIgIAmDJlCtLT02G322G325GdnQ0A\nSE9PR0REBOx2O6ZNm4bnnnsOAFBeXo65c+eioKAABQUFmDNnDiorK/1JMhEREREREbUQfgW806dP\nx0svvaSbl5mZibS0NISFhaFr166w2WzIz8/HiRMncPbsWfTt2xcAMG7cOGzYsAEAkJWVhUcffRQA\nMGrUKOTk5AAANm3ahCFDhiA8PBzh4eFISUlxBMlERERERERE3oTWd8PMzExER0cjMTFRN//48ePo\n37+/Yzo6OhqlpaUICwtDdHS0Y35UVBRKS0sBAKWlpejSpYtKUGgo2rdvj7KyMhw/fly3jbYvd0JC\nQur7UaiZmzNnTlMngZoQ87/lYt63bMz/lot537Ix/8lXXgPelJQUnDx5ss78efPmYf78+br+uVqz\n5abQlO9NRERERERE309eA94tW7a4nf+///0PRUVFSEpKAgCUlJSgT58+yM/PR1RUFIqLix3rlpSU\nIDo6GlFRUSgpKakzH1B3e48dO4bOnTvj8uXLOHPmDCIiIhAVFaXrnF5cXIzBgwfX+8MSERERERFR\ny1GvPrzx8fE4deoUioqKUFRUhOjoaOzatQuRkZEYMWIE1q1bh6qqKhQVFcFut6Nv37647rrr0K5d\nO+Tn50NEsHr1aowcORIAMGLECLzxxhsAgPXr1+Puu+8GAAwZMgSbN29GZWUlKioqsGXLFgwdOjRA\nH52IiIiIiIiCWb378Lpy7T8bFxeH+++/H3FxcQgNDcXSpUsdy5cuXYrHHnsMFy9eRGpqKoYNGwYA\nmDhxIh555BHExsYiIiIC69atAwB06NABL7zwAm699VYAwKxZsxAeHh6IJBMREREREVGQ83scXgA4\nfPgwOnTo4JieMWMGvvrqKxw8eFB3R7ZPnz7Yt28fvvrqKyxevNgx/6qrrsLbb78Nu92OvLw8dO3a\n1bFs/PjxjmGMIiMj0bNnT8TGxmLhwoVu0/LUU08hNjYWSUlJ2L17dyA+Hn0PZGdne837NWvWICkp\nCYmJifjJT36CvXv3NkEqqaGY5b9mx44dCA0NxbvvvtuIqaOGZCXvc3Nz0bt3b8THx2PQoEGNm0Bq\nUGb5f/r0aQwbNgy9evVCfHw8Vq5c2fiJpAYxYcIEREZGIiEhweM6LPMFJ7O8Z5kvuFn57QM+lvmk\nmbh8+bLExMRIUVGRVFVVSVJSkhw4cEC3zgcffCDDhw8XEZG8vDzp169fUySVAsxK3m/fvl0qKytF\nRGTjxo3M+yBiJf+19e666y655557ZP369U2QUgo0K3lfUVEhcXFxUlxcLCIi33zzTVMklRqAlfyf\nNWuW/O53vxMRlfcdOnSQ6urqpkguBdh//vMf2bVrl8THx7tdzjJf8DLLe5b5gptZ/ov4XuYLyB3e\nxlBQUACbzYauXbsiLCwMY8eORWZmpm4d1/F8+/Xrh8rKSpw6daopkksBZCXvBwwYgPbt2wNQee/6\ngDRq3qzkPwC8+uqrGD16NH784x83QSqpIVjJ+7Vr12LUqFGOhyB27NixKZJKDcBK/nfq1Anffvst\nAODbb79FREQEQkMD0luLmtjAgQNxzTXXeFzOMl/wMst7lvmCm1n+A76X+ZpNwOs6Vi/gfkxed+vw\nR9D8Wcl7V+np6UhNTW2MpFEjsPrbz8zMxJQpUwBwXO5gYSXv7XY7ysvLcddddyE5ORmrV69u7GRS\nA7GS/5MmTcL+/fvRuXNnJCUl4a9//WtjJ5OaCMt8BLDM1xLVp8zXbKpBrRZgxTAmLwu+zZ8vebh1\n61YsX74cn376aQOmiBqTlfx/5plnsGDBAoSEhEBEODZ3kLCS99XV1di1axdycnJw4cIFDBgwAP37\n90dsbGwjpJAakpX8/9Of/oRevXohNzcXhw4dQkpKCvbs2YO2bds2QgqpqbHM17KxzNcy1afM12wC\nXuP4vsXFxY4mbJ7WKSkpQVRUVKOlkRqGlbwHgL1792LSpEnIzs42bQpBzYeV/N+5cyfGjh0LQD3E\nZuPGjQgLC8OIESMaNa0UWFbyvkuXLujYsSNat26N1q1b44477sCePXsY8AYBK/m/fft2zJw5EwAQ\nExODbt26obCwEMnJyY2aVmp8LPO1bCzztVz1KfM1mybNycnJsNvtOHLkCKqqqpCRkVHng40YMQKr\nVq0CAOTl5SE8PByRkZFNkVwKICt5f+zYMdx333148803YbPZmiil1BCs5P/hw4cd44KPHj0af//7\n3xnsBgEreT9y5Eh88sknqKmpwYULF5Cfn4+4uLgmSjEFkpX879mzJ/79738DAE6dOoXCwkJ07969\nKZJLjYxlvpaLZb6WrT5lvmZzhzc0NBRLlizB0KFDUVNTg4kTJ+Kmm27CsmXLAACTJ09GamoqPvzw\nQ9hsNlx99dVYsWJFE6eaAsFK3s+dOxcVFRWO9vxhYWEoKChoymRTgFjJfwpOVvK+Z8+eGDZsGBIT\nE9GqVStMmjSJAW+QsJL/M2bMwPjx45GUlITa2lq89NJLumESqflKS0vDxx9/jNOnT6NLly6YM2cO\nqqurAbDMF+zM8p5lvuBmlv/1ESLs7EZERERERERBqNk0aSYiIiIiIiLyBQNeIiIiIiIiCkoMeImI\niIiIiKjBTJgwAZGRkUhISDBdd/r06ejduzd69+6NHj16+P0kbvbhJSIiIiIiogazbds2tGnTBuPG\njcO+ffssb7dkyRJ8/vnneP311+v93rzDS0RERERERA1m4MCBde7UHjp0CMOHD0dycjLuuOMOFBYW\n1tlu7dq1SEtL8+u9m82wRERERERERBQcHn/8cSxbtgw2mw35+fmYOnUqcnJyHMuPHj2KI0eOYPDg\nwX69DwNeIiIiIiIiajTnzp3Df//7X4wZM8Yxr6qqSrfOunXrMGbMGISEhPj1Xgx4iYiIiIiIqNHU\n1tYiPDwcu3fv9rhORkYGli5d6vd7sQ8vERERERERNZp27dqhW7duWL9+PQBARLB3717H8oMHD6Ki\nogL9+/f3+70Y8BIREREREVGDSUtLw2233YbCwkJ06dIFK1aswJo1a5Ceno5evXohPj4eWVlZjvUz\nMjL8fliVhsMSERERERERUVDiHV4iIiIiIiIKSgx4iYiIiIiIKCgx4CUiIiIiIqKgxICXiIiIiIiI\nghIDXiIiIiIiIgpKDHiJiIiIiIgoKP0//2Ydcvf6yuwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1081ef7d0>"
]
}
],
"prompt_number": 74
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[4][1]\n",
"sr - sources[4][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"in_sig = src_mono\n",
"zc = argwhere((in_sig[:-1]*in_sig[1:]) < 0)\n",
"\n",
"zc = r_[zc, argwhere(in_sig == 0)]\n",
"plot(in_sig);\n",
"plot(zc, zeros_like(zc), 'o');\n",
"duration = len(src_mono) / sr\n",
"xps = len(zc) / duration\n",
"print 'Stars of the Lid - Central Texas'\n",
"print 'Zero crossings per second: {}'.format(xps)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Stars of the Lid - Central Texas\n",
"Zero crossings per second: 21136\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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K0aPOnFcPp0/LTRGdeDZW8vbbLPBEnTosafo777gz4rRWALEZM9jM2T//aa88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"text": [
"<matplotlib.figure.Figure at 0x114cd82d0>"
]
}
],
"prompt_number": 75
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All these songs had very similar zero crossing rates, so I suppose that's indicative of them having similar high-frequency content. These values seem pretty high though, very close to Nyquist."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Temporal Centroid:**"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[0][1]\n",
"sr = sources[0][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"# Normalize\n",
"abs_max = max(abs(src_mono.min().astype(float)), abs(src_mono.max().astype(float)))\n",
"src_mono_norm = src_mono.astype(float) / abs_max\n",
"\n",
"\n",
"L = 0.1\n",
"win_len = sr * L\n",
"\n",
"w_rms, win_lens = windowed_rms(src_mono_norm, win_sizes=[win_len])\n",
"\n",
"sample_dur_secs = len(src_mono_norm)/float(sr)\n",
"time = linspace(0, sample_dur_secs, len(w_rms[0]))\n",
"\n",
"tc = sum(w_rms[0]*time)/sum(w_rms[0])\n",
"print tc, \"Temporal Centroid\"\n",
"\n",
"plot(linspace(0, sample_dur_secs, len(src_mono)), src_mono, alpha=0.5);\n",
"vlines(tc, -10000, 10000, lw=4);\n",
"grid();\n",
"\n",
"print 'Black Keys - Everlasting Light'\n",
"title('Temporal Centroid: {:.2f}% of song'.format(100*(tc/sample_dur_secs)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"103.586555312 Temporal Centroid\n",
"Black Keys - Everlasting Light"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 211,
"text": [
"<matplotlib.text.Text at 0x109439950>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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vvFP8/847pvKOHSvKc8894mR/9CjQpo34HxAXwZmZYvscPiwuhjdtEp9VV5ue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\n",
"text": [
"<matplotlib.figure.Figure at 0x11278a810>"
]
}
],
"prompt_number": 211
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[1][1]\n",
"sr = sources[1][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"# Normalize\n",
"abs_max = max(abs(src_mono.min().astype(float)), abs(src_mono.max().astype(float)))\n",
"src_mono_norm = src_mono.astype(float) / abs_max\n",
"\n",
"\n",
"L = 0.1\n",
"win_len = sr * L\n",
"\n",
"w_rms, win_lens = windowed_rms(src_mono_norm, win_sizes=[win_len])\n",
"\n",
"sample_dur_secs = len(src_mono_norm)/float(sr)\n",
"time = linspace(0, sample_dur_secs, len(w_rms[0]))\n",
"\n",
"tc = sum(w_rms[0]*time)/sum(w_rms[0])\n",
"print tc, \"Temporal Centroid\"\n",
"\n",
"plot(linspace(0, sample_dur_secs, len(src_mono)), src_mono, alpha=0.5);\n",
"vlines(tc, -10000, 10000, lw=4);\n",
"grid();\n",
"\n",
"print 'Parliament - P-Funk (Wants to Get Funked Up)'\n",
"title('Temporal Centroid: {:.2f}% of song'.format(100*(tc/sample_dur_secs)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"225.927339697 Temporal Centroid\n",
"Parliament - P-Funk (Wants to Get Funked Up)"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 212,
"text": [
"<matplotlib.text.Text at 0x1125c90d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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95bp95Aj7abcDa9Z4BugffQTMm+f5vrfn3yVlEAW+RNJvv/FNaPTrryywKi31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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x109439ed0>"
]
}
],
"prompt_number": 212
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[2][1]\n",
"sr = sources[2][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"# Normalize\n",
"abs_max = max(abs(src_mono.min().astype(float)), abs(src_mono.max().astype(float)))\n",
"src_mono_norm = src_mono.astype(float) / abs_max\n",
"\n",
"\n",
"L = 0.1\n",
"win_len = sr * L\n",
"\n",
"w_rms, win_lens = windowed_rms(src_mono_norm, win_sizes=[win_len])\n",
"\n",
"sample_dur_secs = len(src_mono_norm)/float(sr)\n",
"time = linspace(0, sample_dur_secs, len(w_rms[0]))\n",
"\n",
"tc = sum(w_rms[0]*time)/sum(w_rms[0])\n",
"print tc, \"Temporal Centroid\"\n",
"\n",
"plot(linspace(0, sample_dur_secs, len(src_mono)), src_mono, alpha=0.5);\n",
"vlines(tc, -10000, 10000, lw=4);\n",
"grid();\n",
"\n",
"print 'Me - Falling Elevator Blues'\n",
"title('Temporal Centroid: {:.2f}% of song'.format(100*(tc/sample_dur_secs)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"82.1355623194 Temporal Centroid\n",
"Me - Falling Elevator Blues"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 213,
"text": [
"<matplotlib.text.Text at 0x112600790>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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I+vnHjwN16ig7XlaWubqH2v7+yEjbtuPnVVie06fNqKiwL9/u3UCvXknYsQP4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\n",
"text": [
"<matplotlib.figure.Figure at 0x1125c9c90>"
]
}
],
"prompt_number": 213
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[3][1]\n",
"sr = sources[3][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"# Normalize\n",
"abs_max = max(abs(src_mono.min().astype(float)), abs(src_mono.max().astype(float)))\n",
"src_mono_norm = src_mono.astype(float) / abs_max\n",
"\n",
"\n",
"L = 0.1\n",
"win_len = sr * L\n",
"\n",
"w_rms, win_lens = windowed_rms(src_mono_norm, win_sizes=[win_len])\n",
"\n",
"sample_dur_secs = len(src_mono_norm)/float(sr)\n",
"time = linspace(0, sample_dur_secs, len(w_rms[0]))\n",
"\n",
"tc = sum(w_rms[0]*time)/sum(w_rms[0])\n",
"print tc, \"Temporal Centroid\"\n",
"\n",
"plot(linspace(0, sample_dur_secs, len(src_mono)), src_mono, alpha=0.5);\n",
"vlines(tc, -10000, 10000, lw=4);\n",
"grid();\n",
"\n",
"print 'James Blake - The Wilhelm Scream'\n",
"title('Temporal Centroid: {:.2f}% of song'.format(100*(tc/sample_dur_secs)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"165.586535692 Temporal Centroid\n",
"James Blake - The Wilhelm Scream"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 214,
"text": [
"<matplotlib.text.Text at 0x113462f50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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buFGsRZMXeqVtJGlp4suCU6csC9j799sWegGxgCn/fskVF5tbcFnXch4/bs7X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\n",
"text": [
"<matplotlib.figure.Figure at 0x1134293d0>"
]
}
],
"prompt_number": 214
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[4][1]\n",
"sr = sources[4][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"# Normalize\n",
"abs_max = max(abs(src_mono.min().astype(float)), abs(src_mono.max().astype(float)))\n",
"src_mono_norm = src_mono.astype(float) / abs_max\n",
"\n",
"\n",
"L = 0.1\n",
"win_len = sr * L\n",
"\n",
"w_rms, win_lens = windowed_rms(src_mono_norm, win_sizes=[win_len])\n",
"\n",
"sample_dur_secs = len(src_mono_norm)/float(sr)\n",
"time = linspace(0, sample_dur_secs, len(w_rms[0]))\n",
"\n",
"tc = sum(w_rms[0]*time)/sum(w_rms[0])\n",
"print tc, \"Temporal Centroid\"\n",
"\n",
"plot(linspace(0, sample_dur_secs, len(src_mono)), src_mono, alpha=0.5);\n",
"vlines(tc, -10000, 10000, lw=4);\n",
"grid();\n",
"\n",
"print 'Stars of the Lid - Central Texas'\n",
"title('Temporal Centroid: {:.2f}% of song'.format(100*(tc/sample_dur_secs)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"125.790659698 Temporal Centroid\n",
"Stars of the Lid - Central Texas"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 215,
"text": [
"<matplotlib.text.Text at 0x112eedf10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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gvYnE5+LYsfpfg4yn+VTn2uL0afF99Wpjy6EHxjISERlDi6mQRERKe/YAv/7q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\nkEfl8vK83yAasfxHsNavB95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S8tXpqEz0SJFlhvsLqzFzBzt5V6sbvsrkIB99BPzwg5gu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\nbKC4j/AqG1VmFalp5gkJwLBhoT030BgcuXPmb39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ZIK1s3iz/oUxNBXp6hN9r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"text": [
"<matplotlib.figure.Figure at 0x1125efdd0>"
]
}
],
"prompt_number": 215
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All of the songs had a temporal centroid near the middle of the song, though the James Blake and Stars of the Lid songs were slightly later (59% and 56%). This makes sense, as both of these songs start out relatively quiet and build up toward the end."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Spectral Centroid**"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[0][1]\n",
"sr = sources[0][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"# Normalize\n",
"abs_max = max(abs(src_mono.min().astype(float)), abs(src_mono.max().astype(float)))\n",
"src_mono_norm = src_mono.astype(float) / abs_max\n",
"\n",
"Pxx, freqs, times, im = specgram(src_mono_norm, NFFT=2048, Fs=sr, window=window_hanning, noverlap=1024)\n",
"X = sqrt(Pxx)\n",
"centroid = []\n",
"\n",
"for spec in X.T:\n",
" sc = sum(spec*freqs)/sum(spec)\n",
" centroid.append(sc)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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TBzlGmLj0KWIzSTapzHIpfkAkFHyMpNWSclrdS1rbdJIW/AGFJKlEg8bpHKu5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\n4p5NPU1Q4bg5rZGL5vmWj7UpGrRs3Gx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UqqJspODmTZpSlY4gcC3CyrPwubai3z5T2ms7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c5QTvOTAD4wTMK6gkc6ZOmbXTPmgonYZSK4nFNR2SmkXUNmmdz7jwVjhiG9PISSwLZtC+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IXYMykznR7F6kBpztZMUTsXfub+FqzGB5gNZMDmIdsecIs7FOIe/Zw/LZPwRVovAD6ECycHAIyu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pMnAgGcTVy30Ms/0jgnImeVjGpzxHeANrD18j+pnd27X3PMDXmM9kFD7OcvRSApRxsQxT7Z7u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ou2X4u5nuTjLOLBAaSc3UP7/6jGG39L844XILebOOLpoK0DuHL9POK7I1Cm7XIqhJyX7fM5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\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d4/5PgN3q0L9vFy3WKsFcQQzAOSRlpAERHtqAqRyTQ8hNSyMhQqKYAPsavMvAx8CqRg4G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\nFYamxYdRFZK1XXheInotfoi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"text": [
"<matplotlib.figure.Figure at 0x1052a6110>"
]
}
],
"prompt_number": 110
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"win_len = 0.1 * sr\n",
"w_rms, win_lens = windowed_rms(src_mono_norm, win_sizes=[win_len])\n",
"\n",
"ifunc = interp1d(linspace(0, len(src_mono_norm)/float(sr), len(w_rms[0])), w_rms[0])\n",
"interp_rms = ifunc(times)\n",
"centroid_rms = array(centroid) * interp_rms\n",
"plot(times, centroid_rms, alpha=0.5)\n",
"title('Spectral Centroid Scaled by RMS')\n",
"mean_sc = sum(centroid) / len(centroid)\n",
"\n",
"print 'Black Keys - Everlasting Light'\n",
"print 'Mean Spectral Centroid: {:.2f} Hz'.format(mean_sc)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Black Keys - Everlasting Light\n",
"Mean Spectral Centroid: 2540.74 Hz\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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E+EPLRFeAEBVEFliSOJYuBc47D7jsskTXJDWggCUk+eF7ShLNkSNAhw58Fglx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"text": [
"<matplotlib.figure.Figure at 0x105aacad0>"
]
}
],
"prompt_number": 111
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"src = sources[1][1]\n",
"sr = sources[1][0]\n",
"# Downmix\n",
"src_mono = sum(src.astype(float)/src.shape[1], axis=1).astype(src.dtype)\n",
"# Normalize\n",
"abs_max = max(abs(src_mono.min().astype(float)), abs(src_mono.max().astype(float)))\n",
"src_mono_norm = src_mono.astype(float) / abs_max\n",
"\n",
"Pxx, freqs, times, im = specgram(src_mono_norm, NFFT=2048, Fs=sr, window=window_hanning, noverlap=1024)\n",
"X = sqrt(Pxx)\n",
"centroid = []\n",
"\n",
"for spec in X.T:\n",
" sc = sum(spec*freqs)/sum(spec)\n",
" centroid.append(sc)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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6G+77qtcs2XNq2q4ly/Y8cC1NPBumnKuaDq0Ek5rmsoceuWrWsTM1q0HBnAlu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\nwEEB6nRwM8olNbXNNPDRIGCHnA5um8FaY91+vz6kCsevFh2TMTM5pDkO
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