notebooks/01_Concepts/01_Digital Signal Processing.ipynb

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    "# Digital Signal Processing\n",
    "\n",
    "In this notebook, I discuss some DSP concepts relevant to time series analysis. The Ideas here are based on the content of [this](https://www.coursera.org/learn/dsp1/home/welcome) Digital Signal Processing Course offered by Ecole Polytechnique Federal de Lausanne (EPFL) on Coursera."
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   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import primary libraries and functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.ndimage.interpolation import shift # weird that there is no numpy equivalent!\n",
    "\n",
    "# use this if you want to render static plotly images to display them on Github\n",
    "# otherwise, comment this section out to enjoy interactive plotly plots\n",
    "import plotly.io as pio\n",
    "pio.renderers.default = \"svg\"\n",
    "\n",
    "from ts.dsp import make_sinusoidal_signal\n",
    "from ts.viz import plot_basic_timeseries"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  Building Blocks of Signals, main operations, and useful tools\n",
    "\n",
    "\n",
    "**Four Major Classes of Signals**\n",
    "- Finite length signals (finite length and info, practical)\n",
    "- Infinite Length signals (infinite length and info, theoretical)\n",
    "- Periodic Signals -- have finite information but infinite length. A bridge between the two types of signals\n",
    "- Finite Support (support is the part of the domain where the function has a value not equal to zero. So Finite support signals are 0 everywhere except certain areas, like the dirac-delta function). The amount of info is in the support area and it's finite\n",
    "\n",
    "**Operators**\n",
    "\n",
    "We can apply the following operators to our signals and create new ones\n",
    "\n",
    "1. Add\n",
    "2. Scale\n",
    "3. Delay"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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    "# create\n",
    "sig = np.random.normal(1, 0.3, size=100)\n",
    "shifted_sig = shift(sig, 1, cval=0)\n",
    "\n",
    "# plot using helper function\n",
    "plot_basic_timeseries([sig, shifted_sig], names=['Signal', 'Shifted'])"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "moving_average = (sig + shifted_sig)/2\n",
    "plot_basic_timeseries([sig, moving_average], names=['signal', 'moving average'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def making_moving_average(sig, window=1):\n",
    "    shifted = shift(sig, window, cval=0)\n",
    "    return (sig + shifted)/2\n",
    "\n",
    "sig = np.random.normal(1, 0.3, size=1000)\n",
    "plot_basic_timeseries([sig, making_moving_average(sig, 10)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Approximating functions using Taylor Series vs Legendre Polynomials"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Discrete Fourier Transform (DFT)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (14,4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<StemContainer object of 3 artists>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(0, 1.02, 0.02) - 0.5\n",
    "plt.stem(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.fft.fft(x);\n",
    "plt.stem(abs(X));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DFT Examples and Interpretation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Synthetic Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "signal = make_sinusoidal_signal(mean=23, amp=7, freq=10, points=365, noise_var=0.1)\n",
    "plot_basic_timeseries(signal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dft_report(signal):\n",
    "    # compute dft\n",
    "    fft = np.fft.fft(signal)\n",
    "    \n",
    "    # get real components (index is freq as k/N of 2pi, value is the energy)\n",
    "    real = np.abs(np.real(fft))\n",
    "        \n",
    "    # keep only the first half\n",
    "    midpoint = int(signal.size / 2)\n",
    "    real = real[:midpoint] / signal.size\n",
    "    \n",
    "    top_freq_index = np.argmax(real[1:]) + 1\n",
    "    top_freq_amp = real[top_freq_index] * 2\n",
    "    print(f'Average = {real[0]:.2f}', )\n",
    "    print(f'Index of most prominent freq = {top_freq_index}')\n",
    "    print(f'Top Freq Amplitude = {top_freq_amp:.4f}')\n",
    "    print(f'''Period of the most prominent freq = {int(signal.size/top_freq_index)}''')\n",
    "    plt.stem(2*real[1:]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average = 23.00\n",
      "Index of most prominent freq = 10\n",
      "Top Freq Amplitude = 0.0623\n",
      "Period of the most prominent freq = 365\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dft_report(signal)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Real data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
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   ],
   "source": [
    "df = pd.read_csv('https://raw.githubusercontent.com/datasets/global-temp/master/data/monthly.csv')\n",
    "df = df.groupby('Date').mean().reset_index().rename(columns={'Mean': 'temp'})\n",
    "signal = df['temp']\n",
    "plot_basic_timeseries(signal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot diff\n",
    "diff_signal = np.diff(signal)\n",
    "plot_basic_timeseries(diff_signal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average = 0.00\n",
      "Index of most prominent freq = 136\n",
      "Top Freq Amplitude = 0.0068\n",
      "Period of the most prominent freq = 12\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "averaged = pd.Series(diff_signal).rolling(window=3).mean().dropna()\n",
    "dft_report(averaged)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "rank top detected frequencies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def report_top_n(signal, n=3):\n",
    "    # compute dft\n",
    "    fft = np.fft.fft(signal)\n",
    "    \n",
    "    # get real components (index is freq as k/N of 2pi, value is the energy)\n",
    "    real = np.abs(np.real(fft))\n",
    "        \n",
    "    # keep only the first half\n",
    "    midpoint = int(signal.size / 2)\n",
    "    real = real[:midpoint] / signal.size\n",
    "    \n",
    "    top_freq_index = np.argmax(real[1:]) + 1\n",
    "    top_freq_amp = real[top_freq_index] * 2\n",
    "    print(f'Average = {real[0]:.2f}', )\n",
    "    \n",
    "    top_n_indices = real[1:].argsort()[-n:][::-1]\n",
    "    for rank, i in enumerate(top_n_indices):\n",
    "        print(f'Period of the {rank+1} Freq {int(signal.size/(i+1))}, {real[i+1]:.2f}')\n",
    "    \n",
    "    plt.stem(2*real[1:]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average = 69.00\n",
      "Period of the 1 Freq 50, 0.22\n",
      "Period of the 2 Freq 146, 0.08\n",
      "Period of the 3 Freq 365, 0.03\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzIAAAD4CAYAAAA3rtNiAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAAcu0lEQVR4nO3df7Cld10f8Pdn797ADWI2gdUhN4ENmKYTC7q4IkyqtUpJIpWsgpqoFVtHcCozWu3SpDqAWEdgR9tpy7TgyFQ7QAIxrrHErozQdmoJZMMGYoAtSwxJbhACYcGShf317R/3nM3Zs+fcH7v33nOfva/XzM6e85znnuf7PN/v832e93POc77VWgsAAECXbJp0AQAAAJZLkAEAADpHkAEAADpHkAEAADpHkAEAADpn86QW/PSnP71t27ZtUosHAADWubvvvvuLrbWto16bWJDZtm1b9u3bN6nFAwAA61xVfXbca75aBgAAdI4gAwAAdI4gAwAAdI4gAwAAdI4gAwAAdM7EfrVso9qzfy679x7II4cO5+ItM9l19RXZuX120sUCAIBOEWTW0J79c7nptntz+OjxJMncocO56bZ7k0SYAQCAZfDVsjW0e++BkyGm7/DR49m998CESgQAAN0kyKyhRw4dXtZ0AABgNEFmDV28ZWZZ0wEAgNEEmTW06+orMjM9dcq0memp7Lr6igmVCAAAusnN/muof0P/a2/9eI4cP5FZv1oGAABnRJBZYzu3z+bdH3kwSXLLq1804dIAAEA3+WoZAADQOYIMAADQOYIMAADQOYIMAADQOYIMAADQOYIMAADQOYIMAADQOYIMAADQOUsKMlV1TVUdqKqDVXXjAvO9vKpaVe1YuSICAACcatEgU1VTSd6a5NokVya5oaquHDHfU5P8UpIPr3QhAQAABi3lE5kXJDnYWru/tXYkyc1Jrhsx328meXOSr69g+QAAAE6zlCAzm+ShgecP96adVFXPT3Jpa+19K1g2AACAkc76Zv+q2pTkd5P86hLmfVVV7auqfY8++ujZLhoAANiglhJk5pJcOvD8kt60vqcm+XtJ/kdVPZDkhUluH3XDf2vt7a21Ha21HVu3bj3zUgMAABvaUoLMXUkur6rLquq8JNcnub3/YmvtK621p7fWtrXWtiW5M8nLWmv7VqXEAADAhrdokGmtHUvymiR7k3wyyXtaa/dV1Rur6mWrXUAAAIBhm5cyU2vtjiR3DE173Zh5v//siwUAADDeWd/sDwAAsNYEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHOWFGSq6pqqOlBVB6vqxhGv/0JV3VtV91TV/66qK1e+qAAAAPMWDTJVNZXkrUmuTXJlkhtGBJV3tdae21r7ziRvSfK7K11QAACAvqV8IvOCJAdba/e31o4kuTnJdYMztNa+OvD0KUnayhURAADgVJuXMM9skocGnj+c5HuGZ6qqX0zyK0nOS/IDo96oql6V5FVJ8sxnPnO5ZQUAAEiygjf7t9be2lp7TpJ/leTXx8zz9tbajtbajq1bt67UogEAgA1mKUFmLsmlA88v6U0b5+YkO8+iTAAAAAtaSpC5K8nlVXVZVZ2X5Poktw/OUFWXDzx9aZJPr1wRAQAATrXoPTKttWNV9Zoke5NMJXlHa+2+qnpjkn2ttduTvKaqXpzkaJIvJ3nlahYaAADY2JZys39aa3ckuWNo2usGHv/SCpcLAABgrBW72R8AAGCtCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnLCnIVNU1VXWgqg5W1Y0jXv+VqvpEVX28qv6iqp618kUFAACYt2iQqaqpJG9Ncm2SK5PcUFVXDs22P8mO1trzktya5C0rXVAAAIC+pXwi84IkB1tr97fWjiS5Ocl1gzO01j7YWnu89/TOJJesbDEBAACesJQgM5vkoYHnD/emjfNzSf5s1AtV9aqq2ldV+x599NGllxIAAGDAit7sX1U/nWRHkt2jXm+tvb21tqO1tmPr1q0ruWgAAGAD2byEeeaSXDrw/JLetFNU1YuT/FqSf9Ba+8bKFA8AAOB0S/lE5q4kl1fVZVV1XpLrk9w+OENVbU/ytiQva619YeWLCQAA8IRFg0xr7ViS1yTZm+STSd7TWruvqt5YVS/rzbY7yTcleW9V3VNVt495OwAAgLO2lK+WpbV2R5I7hqa9buDxi1e4XAAAAGOt6M3+AAAAa0GQAQAAOkeQAQAAOkeQAQAAOkeQAQAAOkeQAQAAOkeQAQAAOkeQAQAAOkeQAQAAOkeQAQAAOkeQAQAAOkeQAQAAOkeQAQAAOmfzpAvQBXv2z2X33gN55NDhXLxlJruuviI7t89OulgAALBhCTKL2LN/Ljfddm8OHz2eJJk7dDg33XZvkggzAAAwIb5atojdew+cDDF9h48ez+69ByZUIgAAQJBZxCOHDi9rOgAAsPoEmUVcvGVmWdMBAIDVJ8gsYtfVV2RmeuqUaTPTU9l19RUTKhEAAOBm/0X0b+h/7a0fz5HjJzLrV8sAAGDiBJkl2Ll9Nu/+yINJklte/aIJlwYAAPDVMgAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHMEGQAAoHOWFGSq6pqqOlBVB6vqxhGvf19VfbSqjlXVK1a+mAAAAE9YNMhU1VSStya5NsmVSW6oqiuHZnswyc8meddKFxAAAGDY5iXM84IkB1tr9ydJVd2c5Lokn+jP0Fp7oPfaiVUoIwAAwCmW8tWy2SQPDTx/uDcNAABgItb0Zv+qelVV7auqfY8++uhaLhoAADiHLCXIzCW5dOD5Jb1py9Zae3trbUdrbcfWrVvP5C0AAACWFGTuSnJ5VV1WVecluT7J7atbLAAAgPEWDTKttWNJXpNkb5JPJnlPa+2+qnpjVb0sSarqu6vq4SQ/luRtVXXfahYaAADY2Jbyq2Vprd2R5I6haa8beHxX5r9yBgAAsOrW9GZ/AACAlSDIAAAAnSPIAAAAnSPIAAAAnSPIAAAAnSPIAAAAnSPIAAAAnSPIAAAAnSPIAAAAnSPIAAAAnSPIAAAAnbN50gVYT/bsn8vuvQfyyKHDuXjLTHZdfUV2bp+ddLEAAIAhgkzPnv1zuem2e3P46PEkydyhw7nptnuTRJgBAIB1xlfLenbvPXAyxPQdPno8u/cemFCJAACAcQSZnkcOHV7WdAAAYHIEmZ6Lt8wsazoAADA5gkzPrquvyMz01CnTZqansuvqKyZUIgAAYBw3+/f0b+h/7a0fz5HjJzLrV8sAAGDdEmQG7Nw+m3d/5MEkyS2vftGESwMAAIzjq2UAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDnCDIAAEDn+PllAIBzzJ79c9m990AeOXQ4Fxsbj3OUIAPAinDiBOvDnv1zuem2e3P46PEkydyhw7nptnuTxD7ZMfrVhQkyrDg7HWdCu1l5a7lNnTidOzbCvjiJdVzLZe7ee+Dkvth3+Ojx7N574Jyqy3O9repXFyfIsKImsdOd6x3ZRqCzXnlrvU03yonTJAikK2tSx6m1XOYjhw4va/pKWOtj8UZoq/rVxbnZnxW10E63Gvod2dyhw2l5oiPbs39uVZbXX+ZVb/pALrvxfbnqTR9Y1WVNcplraa3bTWKbrrRJnDhNwlq3m7Xu4yaxL661SazjWi/z4i0zy5p+tiZxLN4IbXWj9Ktnwycy57i1vkKy1jvdWl+t2AhX8vrLPJfbzUa4krda23Rc27h4y0zmRrz3ap04LVae1VrWWrebte7jJnXitJb1OIl1XOtl7rr6ilPaapLMTE9l19VXrMryJvHJwUb41GlS/WqX+ERmAYNX3vY/eChf/NtvTLpIyzKJKyRrfRVoPQWn1dKVT7nO5kr1WrebSV3JW62r+aPedzW26UJtY9fVV2RmeuqU+VfzxGmx8pzp+y1UP5NoN2vdx631vpis/bFqEuu41svcuX02v/2jz815U/OnebNbZvLbP/rccypUbIRPnSbRr3aNT2TGGL7yduT4ifz1l76WPfvnRnYE6+0+jT375/Kr7/lYjrd2yvThKyQrXe4zvQp0puVY66sVK9FZL3dd10tYe8Pt951Wzv66DNfB3KHD2fXej+U3/vS+HHr86CnrOWr9R7Wb6U2Vx48cy7Yb35epqhxvLbNbZvIP/+7WfPBTj55Vmz3TbXo2+8tiV/OX8t6j5kky8n1f/l2zueWuh3L0+BN9wPRULbgvLlaGhU7k//LGH0iSvPbWj+fI8ROZXcb2GbfcsynPctvEr++5N++888H0t9Zg/fSXNaqv6c971Zs+cNb956j1HdfHbaoaezw602Xt3D67YB++Wse5tb6av9afVpztMs90u+/cPpt3f+TBJMktr37RmRd+CSbxycFG+NSp/75n0q8OW2/nqSul2tCJ7lrZsWNH27dv30SWvZCfeNuHkiQPf/nwyJ1ydsvMyQN23/AJSt+F50/n9T/87ac1lP4y+h3LYOO6YGY6VTnt5G9wWQs1xD375/KG2+/LocNHx65jJfnrN710bLkXKvvweo8q9wUz0/l/3ziWYyfayZ0uydhyL7b9Bv+2v5wvP3705MltJRlsxTPTU2d85Wmx7XvVmz4wtl3suvqKBcvZPwn/o7vnTlvXTZWcaBnZSY1b5paZ6dzz+pcsex0Wm/df3HJPxvUKVz3nojzwpcMn1/FrR46dcqK8kOmpyk9896WnrX+/vpInOusty3jv6U2V3T/2HQuGrH4dbBmol1GG9+/hNj6qTOdPb8qTpqfG7rN94+qxX7bF1mvP/rnseu/HcvREO2Web3ry5pHrU0mq164W2lbjwuhyPfCmlyY5vX8bXMaoNjkcIJL5NvHy75od21b6f3vZje8b21aHQ++TpzflG8dO5ESb3zbnnzeVx48cz8VbZrLtaTP5y888NvJ9ZqY35etHT4xdzrDhfTkZ3/cN2rN/Lrtu/djINj/cxz1RtlO3x1L3/VF97uB77dk/d9qJU5IF/2YpBtvauHUattiJ21KOieOOU185fPRkGUYd8872wsXgsfjC86fz0uc9I++56+GT23XURZnk1PYy6pix1HofrMdBTzlvKr/1I8s/Ro7qU5fTPpbTPpdzDBs8bhw5djyPHz1xcpsvdB6znAsoSfLLt9wzdtv0+7/V8hNv+1C++LffyNePnVjW9nvy9KYcPnpixDvO9ys/9cJnZsezLhpbr+sl6FTV3a21HSNf2+hBZtSOed7UptN2/EGzW2ZOO1ldTP+9B5fxllc8L8npO/+gfkP7Nzufu6QT/oXea1yZFjLc4S3nQLR5U+XYicXb11IPaEsx7r2e0jtpuWCBjm6hg/u+zz6Wd3/4oUW310quw+DJ91e/fjTjNuWWoYPz8Mn2YFAYPLCeP70pR0+0JQeRlbBp6MS6b6oqv/Pj35H/8BefzkNfPrzg/jfKzPSmfPI3rz2rk/LhE7ld770nY/r/Jb9PsnJBYSUNBrqV2v8uPH86Vz7jqacFglGBalMlF8xML6nvHDZ40WA9bdNRNiUZ1YSmNyXH26nbpCo5k+5lqionWlvwwsLwCd5C7zXqOLVz++zYIJ6MDm0XrGAb6//97NDJ5riLdk/avClvfvnix9dh05sq01O14HZa6OR4qfv65k2V619w+kWd5Rp3cWzchYClGLd+C134HLXdBs9LxtXTuGPTYvrHkS2nXDCcbyOjji9XPeeivPPnX3RaqF3ouHqmFtp+w+eawxc5/9vHPndK8H39D3979n32sdMu9PT1L2T1L6INv8dSTU/V2Aso/fPPSRNkxljoCth6c/70pny9dzURWN9WMpwDT6gk3/YtT8mnv/C1SRflpH6I/z+feeyc2e/Pm6ps3vREOBl3EYpz30+vgzCzUJDZ0Df7/8af3teJEJMkjx8VYqAr7KqwOlqyrkJMMv+JwF+eQyEmSY4cb6d8wuL8Y+N6550PruvhCZYUZKrqmqo6UFUHq+rGEa8/qapu6b3+4aratuIlXQVn8rUGAADYCFqyrsfmWTTIVNVUkrcmuTbJlUluqKorh2b7uSRfbq19W5J/m+TNK11QAABgba3nATiX8vPLL0hysLV2f5JU1c1JrkvyiYF5rkvyht7jW5P8x6qqNqkbcJbp1R//kzz7K+v3YzMAAFgr918wm7c977ok63sAzqV8tWw2yUMDzx/uTRs5T2vtWJKvJHna8BtV1auqal9V7Xv00UfPrMQr6MLzpyddBAAAWLfW8wCcazogZmvt7Unensz/atlaLnuU1//wt2fXrR87mTgBAIB5Vz3nonUznswoS/lEZi7JpQPPL+lNGzlPVW1OckGSL61EAVfTzu2z2f2K78iWGZ/MwHpz3lRlekP/riIA68VVz7loQ50vbqr5n15+58+/aPGZJ2gpn8jcleTyqros84Hl+iQ/OTTP7UlemeRDSV6R5ANduT9m5/bZsSO5Dg5oNzxY07hRgEeN5PvBTz06chCkUYMiDY+k+lO/96GxI0733394AKTB5S5lffojkw+PQj/8N0vdPuNGOv/1PfeeHFSyMj8I05GBn78eHjzu8m95Sh4/Mn4U2+HlDo6ovZSBoYbnH66nYYOD2E1V5YbvufSU31YfNYL08GBww8v8o7sfPm3U3U2VvOjZF+WBLx0+bWThce0wOX308FHTBtv6uNGZF2rDo9ZleFCvcSNVLzSY3qi/Gxz5fXAw0nFjtIyrn+F2Nzii+/Byx5V/1GBtg4OyDQ42eH4vfQ0Oujq8Pw4uZ3iQ1lH74+A6jxtobnC/GxzBfHh5wyM99we9HaynUX3TtqfNjOyLFhpscXCw1idPb8o3emNhjdp/koX7psXG5lnqyOz99VzO6NgXnDLw3tJHvh61r20ZqptR++Wg4X3uJ7/niQGSB0fv7m/bfhv/2pHjS+rPh9tf31Lb0/Br2542kzvv//LJ9tOv54UGsDxv4Fgwql9Z7Hg82AYWOvaNahOLHSsGt8NwG37hsy/MRx88dHJ/6tdPkjMeQHlcnz54jFruOFXD+8ZCI9qP2raD9TPq+N4v66g+/rypylOetPmUfadv+DxgeIDqUcei4brqt5fBbTLcB48z6hxg1D6xlPO9pZxHDf7tuH5pXP87bp6FljHq/OhM+tH1bkkDYlbVDyX5d0mmkryjtfZbVfXGJPtaa7dX1ZOT/Nck25M8luT6/o8DjLMeBsQEAADWr4UGxFzSPTKttTuS3DE07XUDj7+e5MfOppAAAABL5RvoAABA5wgyAABA5wgyAABA5wgyAABA5yzpV8tWZcFVjyb57EQWPtrTk3xx0oXY4NTB5KmD9UE9TJ46WB/Uw+Spg8nb6HXwrNba1lEvTCzIrDdVtW/cT7uxNtTB5KmD9UE9TJ46WB/Uw+Spg8lTB+P5ahkAANA5ggwAANA5gswT3j7pAqAO1gF1sD6oh8lTB+uDepg8dTB56mAM98gAAACd4xMZAACgcwQZAACgczZ8kKmqa6rqQFUdrKobJ12ec1VVXVpVH6yqT1TVfVX1S73pb6iquaq6p/fvhwb+5qZevRyoqqsnV/pzS1U9UFX39rb3vt60i6rq/VX16d7/F/amV1X9+149fLyqnj/Z0ndfVV0x0N7vqaqvVtUv2xdWX1W9o6q+UFV/NTBt2W2/ql7Zm//TVfXKSaxLV42pg91V9anedv7jqtrSm76tqg4P7BP/eeBvvqvXjx3s1VNNYHU6aUwdLLv/cf50dsbUwy0DdfBAVd3Tm25fGKe1tmH/JZlK8pkkz05yXpKPJbly0uU6F/8leUaS5/cePzXJ/01yZZI3JPmXI+a/slcfT0pyWa+epia9HufCvyQPJHn60LS3JLmx9/jGJG/uPf6hJH+WpJK8MMmHJ13+c+lfrw/6myTPsi+syfb+viTPT/JXA9OW1faTXJTk/t7/F/YeXzjpdevKvzF18JIkm3uP3zxQB9sG5xt6n4/06qV69XTtpNetK//G1MGy+h/nT6tTD0Ov/06S1/Ue2xfG/Nvon8i8IMnB1tr9rbUjSW5Oct2Ey3ROaq19rrX20d7jv03yySSzC/zJdUlubq19o7X210kOZr6+WB3XJfmD3uM/SLJzYPoftnl3JtlSVc+YQPnOVT+Y5DOttc8uMI99YYW01v5XkseGJi+37V+d5P2ttcdaa19O8v4k16x64c8Ro+qgtfbnrbVjvad3Jrlkoffo1cM3t9bubPNncn+YJ+qNRYzZD8YZ1/84fzpLC9VD71OVH0/y7oXew77gq2WzSR4aeP5wFj65ZgVU1bYk25N8uDfpNb2vFLyj/7WOqJvV1JL8eVXdXVWv6k371tba53qP/ybJt/Yeq4fVdX1OPVDZF9bectu++lhd/yzzV5X7Lquq/VX1P6vqe3vTZjO/3fvUwcpYTv9jP1hd35vk8621Tw9Msy+MsNGDDGusqr4pyR8l+eXW2leT/Kckz0nynUk+l/mPUlldf7+19vwk1yb5xar6vsEXe1d1/C77Kquq85K8LMl7e5PsCxOm7U9WVf1akmNJ3tmb9Lkkz2ytbU/yK0neVVXfPKnyneP0P+vLDTn1Ipd9YYyNHmTmklw68PyS3jRWQVVNZz7EvLO1dluStNY+31o73lo7keT38sRXZtTNKmmtzfX+/0KSP878Nv98/ytjvf+/0JtdPayea5N8tLX2+cS+MEHLbfvqYxVU1c8m+cdJfqoXKNP7OtOXeo/vzvw9GX8n89t78Otn6uAsnUH/Yz9YJVW1OcmPJrmlP82+MN5GDzJ3Jbm8qi7rXR29PsntEy7TOan3fc/fT/LJ1trvDkwfvN/iR5L0f73j9iTXV9WTquqyJJdn/oY2zkJVPaWqntp/nPmbbP8q89u7/+tLr0zyJ73Htyf5md4vOL0wyVcGvobD2Tnlipt9YWKW2/b3JnlJVV3Y+/rNS3rTOENVdU2S1yZ5WWvt8YHpW6tqqvf42Zlv+/f36uGrVfXC3rHlZ/JEvXEGzqD/cf60el6c5FOttZNfGbMvjLd50gWYpNbasap6TeYPQlNJ3tFau2/CxTpXXZXknyS5t/9zgkn+dZIbquo7M/91jgeSvDpJWmv3VdV7knwi8181+MXW2vE1LvO56FuT/HHv1xk3J3lXa+2/V9VdSd5TVT+X5LOZv8kwSe7I/K83HUzyeJJ/uvZFPvf0QuQ/Sq+997zFvrC6qurdSb4/ydOr6uEkr0/ypiyj7bfWHquq38z8iVySvLG1ttQbpze8MXVwU+Z/Fev9vb7pztbaL2T+V53eWFVHk5xI8gsD2/qfJ/kvSWYyf0/N4H01LGBMHXz/cvsf509nZ1Q9tNZ+P6ffO5nYF8aq3ie4AAAAnbHRv1oGAAB0kCADAAB0jiADAAB0jiADAAB0jiADAAB0jiADAAB0jiADAAB0zv8HuxMneOySEx4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "signal = make_sinusoidal_signal(mean=23, amp=7, freq=10, points=365, noise_var=0.1)\n",
    "signal += make_sinusoidal_signal(mean=23, amp=7, freq=73, points=50, noise_var=0.1)\n",
    "signal += make_sinusoidal_signal(mean=23, amp=7, freq=25, points=146, noise_var=0.1)\n",
    "\n",
    "report_top_n(signal, n=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Short-time Fourier Transform and the Spectogram "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.signal import spectrogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "signal = make_sinusoidal_signal(mean=23, amp=7, freq=10, points=365, noise_var=0.1)\n",
    "signal += make_sinusoidal_signal(mean=23, amp=7, freq=73, points=50, noise_var=0.1)\n",
    "\n",
    "plt.specgram(signal);"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "timeseries-env",
   "language": "python",
   "name": "timeseries-env"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}