Created
January 31, 2015 16:25
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{ | |
"metadata": { | |
"name": "", | |
"signature": "sha256:1911fdd6cc02c28e4d57a1422d3fdbe85519f8073534dafea16e2e4660761185" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"import numpy as np\n", | |
"%matplotlib inline\n", | |
"import matplotlib.pyplot as plt" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# My version\n", | |
"def exponential(M, center=0., tau=1., sym=True):\n", | |
"\n", | |
" if M < 1:\n", | |
" return np.array([])\n", | |
" if M == 1:\n", | |
" return np.ones(1, 'd')\n", | |
" odd = M % 2\n", | |
" if not sym and not odd:\n", | |
" M = M + 1\n", | |
" n = np.arange(0, M)\n", | |
"\n", | |
" if center is None:\n", | |
" center = 0\n", | |
" w = np.exp(-np.abs(n-center) / tau)\n", | |
" if not sym and not odd:\n", | |
" w = w[:-1]\n", | |
" \n", | |
" return w" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"M = 7\n", | |
"center = 0\n", | |
"tau = 3\n", | |
"\n", | |
"w1 = exponential(M=M, center=center, tau=tau, sym=True)\n", | |
"w2 = exponential(M=M, center=center, tau=tau, sym=False)\n", | |
"plt.plot(w1)\n", | |
"plt.plot(w2)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 3, | |
"text": [ | |
"[<matplotlib.lines.Line2D at 0x7fde2d53eba8>]" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
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OuabOuSrOuWrOuVbOuWnOufRc9hnjnItyzkXn1PQ45351zt3nnLvAOVfHOVfeOVfbOdfR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\nX5ip2U9iKfvQex3BN8tfVXrMDLdbue13NHKMItLA3P1Lam76Vqb8vde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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x7fde2d53ec18>" | |
] | |
} | |
], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"M = 7\n", | |
"center = 1\n", | |
"tau = 3\n", | |
"\n", | |
"w1 = exponential(M=M, center=center, tau=tau, sym=True)\n", | |
"w2 = exponential(M=M, center=center, tau=tau, sym=False)\n", | |
"plt.plot(w1)\n", | |
"plt.plot(w2)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 4, | |
"text": [ | |
"[<matplotlib.lines.Line2D at 0x7fde2b85c0f0>]" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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g1gHrMhj3a+C2iJmdkcm5c92ufQe5uOtjvLytFZUO3s6GXkvUKOWyChUqeF1C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\nfQAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7fde2b41a400>" | |
] | |
} | |
], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"M = 6\n", | |
"center = 0\n", | |
"tau = 3\n", | |
"\n", | |
"w1 = exponential(M=M, center=center, tau=tau, sym=True)\n", | |
"w2 = exponential(M=M, center=center, tau=tau, sym=False)\n", | |
"plt.plot(w1)\n", | |
"plt.plot(w2)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 5, | |
"text": [ | |
"[<matplotlib.lines.Line2D at 0x7fde2b76e9e8>]" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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EO1lW4VFit7TkyQun0eusFn6HJSIiIiL5kJycTKtWrQBaOeciqtDDvrJkZqWB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\nAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7fde2b76ecf8>" | |
] | |
} | |
], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"M = 6\n", | |
"center = 1\n", | |
"tau = 3\n", | |
"\n", | |
"w1 = exponential(M=M, center=center, tau=tau, sym=True)\n", | |
"w2 = exponential(M=M, center=center, tau=tau, sym=False)\n", | |
"plt.plot(w1)\n", | |
"plt.plot(w2)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 6, | |
"text": [ | |
"[<matplotlib.lines.Line2D at 0x7fde2b75a748>]" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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7uX0pYFsOr8mV59BYfWAm0AXY6jk17yjuI0kXAGOAFjaYrqSbxW9b/+H8/u14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\nREREKvH/Ae/Iia+OO5BeAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7fde2b75aeb8>" | |
] | |
} | |
], | |
"prompt_number": 6 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"Hanning" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from scipy.signal import hann\n", | |
"wt = hann(M, sym=True)\n", | |
"wf = hann(M, sym=False)\n", | |
"plt.plot(wt)\n", | |
"plt.plot(wf)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 7, | |
"text": [ | |
"[<matplotlib.lines.Line2D at 0x7fde2d53e898>]" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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LvJYsHLiQVnmtfJckASopKaGgoACgwFpbkso5NLIkIqHx3/9C9+7wi1/A7NkK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\nTz+Fs8+G038eLrfb6aqu3LpWRZLUz5577hl3CFIklGsSFeW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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x7fde2d53e978>" | |
] | |
} | |
], | |
"prompt_number": 7 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"Cosine" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from scipy.signal import cosine\n", | |
"wt = cosine(M, sym=True)\n", | |
"wf = cosine(M, sym=False)\n", | |
"plt.plot(wt)\n", | |
"plt.plot(wf)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 8, | |
"text": [ | |
"[<matplotlib.lines.Line2D at 0x7fde2d53e6d8>]" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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HRYugZEmrI7thwb4F+E7wZfe/u1n27DLGPzEe7xzeDp1Dck24SmbLtVq1ICTE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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7fde2d53e470>" | |
] | |
} | |
], | |
"prompt_number": 8 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"Triangular" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from scipy.signal import triang\n", | |
"wt = triang(M, sym=True)\n", | |
"wf = triang(M, sym=False)\n", | |
"plt.plot(wt)\n", | |
"plt.plot(wf)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 9, | |
"text": [ | |
"[<matplotlib.lines.Line2D at 0x7fde23802eb8>]" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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nShB8rym8QUIVjfe13/0ONm1yASjt2sGUKVqWFy/CGQKhv6ESLzRZEhEJwObN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\nTAM6AqcBizOIP3bbd25n2qppjH9pPDU7ahjdazS3nnJrk69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PCADM7KtmNord\nXaPeAibHEqUUA9v3EJF9S2yovdzMLjezTinPNzOzk4D5wHmJp6c1dJ9CC40h8peZHQEsIWw0BWHv\nkWZAss1pFXCmu/8j+uikkJjZRqDTvsYBM919aJbDkQKV+AW/MfHjLmDzPl5yr2adJF1m9jXgLylP\nfUZYK9KKPbvI/hH4vrv/ObLgpKiY2ThgDImZpZjDkTxWy++17YR1cG3Z3UjEgeSmtA3qzNii6UKM\nh7v/1cy+SVgA/X3CbXefEWacKgi7j++IMUQpHA29jzq/P4GQuCVnLJMNbL68j/GayZRMvE24Vf10\nwq12hwOHEG5NeZOwH85vgNkN3eVeJEP6b6Y0lXeBG4CTgG6E/34eDGwDNgCvAI8m9lxqsLyfWRIR\nEREREcmGfF+zJCIiIiIikhUqlkRERERERGqhYklERERERKQWKpZERERERERqoWJJRERERESkFiqW\nREREREREaqFiSUREREREpBYqlkRERERERGqhYklERERERKQWKpZERERERERqoWJJRERERESkFiqW\nREREREREaqFiSUREREREpBb/HyBCAl/ulgtsAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7fde238050f0>" | |
] | |
} | |
], | |
"prompt_number": 9 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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