FourierSeriesTranslate.ipynb

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    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "N = 100\n",
    "n = 2*np.pi*np.arange(N)/N\n",
    "\n",
    "n_frames = 50\n",
    "ts = np.linspace(np.pi, 2*np.pi, n_frames)\n",
    "\n",
    "for i, t in enumerate(ts):\n",
    "    y = np.zeros(N)\n",
    "    for k in range(4):\n",
    "        f = 2*k+1\n",
    "        y += np.sin(f*t)*np.cos(f*n)/f - np.cos(f*t)*np.sin(f*n)/f\n",
    "    plt.clf()\n",
    "    plt.plot(y)\n",
    "    plt.plot([0, N], [0.6, 0.6])\n",
    "    plt.ylim([0, 1.2])\n",
    "    plt.title(\"t = {:.3f}\".format(t))\n",
    "    plt.savefig(\"{}.png\".format(i))"
   ]
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