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{
"cell_type": "markdown",
"source": [
"Import the necessary modules. We need stationarity from ntrfc and some other modules for the definition of a signal and for rendering a plot"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
"from ntrfc.timeseries.stationarity import estimate_stationarity\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "markdown",
"source": [
"Lets define a signal generator. We want to generate a signal with some noise, an initial transient and a constant deterministic fluctuation."
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
"outputs": [],
"source": [
"def signalgen_abatingsine(amplitude, noiseamplitude, frequency, mean, abate, time):\n",
" resolution = 24\n",
" step = (1 / frequency) / resolution\n",
"\n",
" times = np.arange(0, time, step)\n",
" noise = np.random.normal(-1, 1, len(times)) * noiseamplitude\n",
"\n",
" values = amplitude * np.sin(frequency * (2 * np.pi) * times) + mean + np.e ** -(times * abate) + noise\n",
" return times, values"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "markdown",
"source": [
"Lets define the input arguments for the signal generator and lets generate a signal."
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
"outputs": [],
"source": [
"test_amplitudes = 0.1\n",
"test_noiseamplitude = 0.01\n",
"test_frequencies = 6\n",
"\n",
"\n",
"timesteps, values = signalgen_abatingsine(amplitude=test_amplitudes, noiseamplitude=test_noiseamplitude,\n",
" frequency=test_frequencies, mean=test_mean, time=test_times,\n",
" abate=test_abate)\n"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "markdown",
"source": [
"Lets compute the index of the stationary timestep."
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
"stationary_timestep = estimate_stationarity(values)\n",
"well_computed_stationarity_limit = -np.log(0.05) / test_abate\n",
"well_computed_stationary_time = timesteps[-1] - well_computed_stationarity_limit\n",
"stationary_time = timesteps[-1] - stationary_timestep\n"
],
"metadata": {
"collapsed": false,
"pycharm": {
{
"cell_type": "markdown",
"source": [
"Lets plot the result"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
"outputs": [
{
"data": {
"text/plain": "<Figure size 640x480 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot(timesteps, values)\n",
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"plt.axvline(timesteps[stationary_timestep], color=\"green\")\n",
"plt.show()"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 51,
"outputs": [
{
"data": {
"text/plain": "<Figure size 640x480 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot(timesteps[stationary_timestep:],values[stationary_timestep:], color=\"green\")\n",
"plt.show()\n"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 29,
"outputs": [],
"source": [],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": null,
"outputs": [],
"source": [],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}