.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "intro/scipy/summary-exercises/auto_examples/plot_optimize_lidar_data_fit.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_intro_scipy_summary-exercises_auto_examples_plot_optimize_lidar_data_fit.py>`
        to download the full example code.

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

.. _sphx_glr_intro_scipy_summary-exercises_auto_examples_plot_optimize_lidar_data_fit.py:


The lidar system, data and fit (1 of 2 datasets)
================================================

Generate a chart of the data fitted by Gaussian curve

.. GENERATED FROM PYTHON SOURCE LINES 7-35



.. image-sg:: /intro/scipy/summary-exercises/auto_examples/images/sphx_glr_plot_optimize_lidar_data_fit_001.png
   :alt: plot optimize lidar data fit
   :srcset: /intro/scipy/summary-exercises/auto_examples/images/sphx_glr_plot_optimize_lidar_data_fit_001.png
   :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    [ 2.70363341 27.82020743 15.47924562  3.05636228]






|

.. code-block:: Python


    import numpy as np
    import matplotlib.pyplot as plt
    import scipy as sp


    def model(t, coeffs):
        return coeffs[0] + coeffs[1] * np.exp(-(((t - coeffs[2]) / coeffs[3]) ** 2))


    def residuals(coeffs, y, t):
        return y - model(t, coeffs)


    waveform_1 = np.load("waveform_1.npy")
    t = np.arange(len(waveform_1))

    x0 = np.array([3, 30, 15, 1], dtype=float)
    x, flag = sp.optimize.leastsq(residuals, x0, args=(waveform_1, t))

    print(x)

    fig, ax = plt.subplots(figsize=(8, 6))
    plt.plot(t, waveform_1, t, model(t, x))
    plt.xlabel("Time [ns]")
    plt.ylabel("Amplitude [bins]")
    plt.legend(["Waveform", "Model"])
    plt.show()


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

   **Total running time of the script:** (0 minutes 0.275 seconds)


.. _sphx_glr_download_intro_scipy_summary-exercises_auto_examples_plot_optimize_lidar_data_fit.py:

.. only:: html

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

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

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

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

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

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

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


.. only:: html

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

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