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kwharrigan/chirp.ipynb

Created April 24, 2014 06:12
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chirp.ipynb
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"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from numpy import fft"
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"%%latex\n",
"\n",
"The equation for the chirp is \n",
"$x(t) = \\sin{ \\phi_0 + 2\\pi(f_0t + \\frac{k}{2}t^2)}$"
],
"language": "python",
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"latex": [
"\n",
"The equation for the chirp is \n",
"$x(t) = \\sin{ \\phi_0 + 2\\pi(f_0t + \\frac{k}{2}t^2)}$"
],
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"input": [
"def build_chirp(sf, ef, chirp_time):\n",
" fs = 20*ef\n",
" t = np.linspace(0, chirp_time, int(fs*chirp_time))\n",
" k = (ef-sf)/chirp_time\n",
" x = np.sin(2*np.pi*(sf*t+(k/2)*(t**2)))\n",
" return (t, x)\n",
"\n",
"t, x = build_chirp(1000, 10000, 10e-3)\n",
"print 'Period: %.2f ms' % (1.0/sf*1000)\n",
"\n",
"plt.plot(t, x)\n",
"plt.title('Chirp from %dhz to %dhz' % (sf, ef));\n",
"plt.xlabel('Time (s)')\n",
"plt.ylabel('Amplitude')"
],
"language": "python",
"metadata": {},
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{
"output_type": "stream",
"stream": "stdout",
"text": [
"Period: 100.00 ms\n"
]
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