.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/plot_4_1_1_pwv_atoms.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        Click :ref:`here <sphx_glr_download_auto_examples_plot_4_1_1_pwv_atoms.py>`
        to download the full example code

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

.. _sphx_glr_auto_examples_plot_4_1_1_pwv_atoms.py:


==================================================
Pseudo Wigner-Ville Distribution of Gaussian Atoms
==================================================

This example shows the Pseudo Wigner-Ville distribution of four Gaussian atoms
located at the corners of a rectangle in the time-frequency plane. The
`PseudoWignerVilleDistribution` class uses frequency smoothing, which
attenuates the interferences oscillating along the time axis.

Figure 4.5 from the tutorial.

.. GENERATED FROM PYTHON SOURCE LINES 21-35



.. image-sg:: /auto_examples/images/sphx_glr_plot_4_1_1_pwv_atoms_001.png
   :alt: PSEUDO WINGER-VILLE, Signal in time
   :srcset: /auto_examples/images/sphx_glr_plot_4_1_1_pwv_atoms_001.png
   :class: sphx-glr-single-img


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

 .. code-block:: none

    /home/docs/checkouts/readthedocs.org/user_builds/tftb/envs/stable/lib/python3.7/site-packages/matplotlib/contour.py:1180: ComplexWarning: Casting complex values to real discards the imaginary part
      self.levels = np.asarray(levels_arg).astype(np.float64)






|

.. code-block:: default


    import numpy as np
    from tftb.generators import atoms
    from tftb.processing import PseudoWignerVilleDistribution

    x = np.array([[32, .15, 20, 1],
                 [96, .15, 20, 1],
                 [32, .35, 20, 1],
                 [96, .35, 20, 1]])
    g = atoms(128, x)
    t = np.linspace(0, 1, 128)
    spec = PseudoWignerVilleDistribution(g, timestamps=t)
    spec.run()
    spec.plot(kind="contour", scale="log", show_tf=True)


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

   **Total running time of the script:** ( 0 minutes  0.338 seconds)


.. _sphx_glr_download_auto_examples_plot_4_1_1_pwv_atoms.py:

.. only:: html

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


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

      :download:`Download Python source code: plot_4_1_1_pwv_atoms.py <plot_4_1_1_pwv_atoms.py>`

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

      :download:`Download Jupyter notebook: plot_4_1_1_pwv_atoms.ipynb <plot_4_1_1_pwv_atoms.ipynb>`


.. only:: html

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

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