.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/01_temporalTimeSeriesAnalysis/plot_movingAverageExample.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_auto_examples_01_temporalTimeSeriesAnalysis_plot_movingAverageExample.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_01_temporalTimeSeriesAnalysis_plot_movingAverageExample.py:


Generation of a moving average time series
==========================================

.. GENERATED FROM PYTHON SOURCE LINES 7-9

Import requirements
-------------------

.. GENERATED FROM PYTHON SOURCE LINES 9-14

.. code-block:: Python


    import os
    import numpy as np
    import plotly.graph_objects as go








.. GENERATED FROM PYTHON SOURCE LINES 15-17

Define variables
-----------------

.. GENERATED FROM PYTHON SOURCE LINES 17-22

.. code-block:: Python


    srate = 1
    T = 500
    sigma = 1.0








.. GENERATED FROM PYTHON SOURCE LINES 23-26

Create white noise
------------------


.. GENERATED FROM PYTHON SOURCE LINES 26-31

.. code-block:: Python


    time = np.arange(0, T, 1.0/srate)
    N = len(time)
    w = np.random.normal(loc=0, scale=sigma, size=N)








.. GENERATED FROM PYTHON SOURCE LINES 32-35

Create moving average time series
---------------------------------


.. GENERATED FROM PYTHON SOURCE LINES 35-41

.. code-block:: Python

    ma = np.empty(len(w), dtype=np.double)
    ma[0] = (w[0] + w[1]) / 3
    for i in range(1, len(w)-1):
        ma[i] = (w[i-1] + w[i] + w[i+1]) / 3
    ma[-1] = (w[-2] + w[-1]) / 3








.. GENERATED FROM PYTHON SOURCE LINES 42-45

Plot moving average time series
-------------------------------


.. GENERATED FROM PYTHON SOURCE LINES 45-58

.. code-block:: Python


    fig = go.Figure()
    trace = go.Scatter(x=time, y=ma, mode="lines+markers")
    fig.add_trace(trace)
    fig.update_layout(xaxis=dict(title="Time (sec)"), yaxis=dict(title="x"))

    if not os.path.exists("figures"):
        os.mkdir("figures")

    fig.write_html("figures/movingAverage.html")
    fig.write_image("figures/movingAverage.png")

    fig





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.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.109 seconds)


.. _sphx_glr_download_auto_examples_01_temporalTimeSeriesAnalysis_plot_movingAverageExample.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_movingAverageExample.ipynb <plot_movingAverageExample.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_movingAverageExample.py <plot_movingAverageExample.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_movingAverageExample.zip <plot_movingAverageExample.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_