.. 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.



.. image:: /auto_examples/images/sphx_glr_plot_4_1_1_pwv_atoms_001.png
    :class: sphx-glr-single-img


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

 Out:

 .. code-block:: none

    /home/docs/checkouts/readthedocs.org/user_builds/tftb/envs/latest/lib/python3.7/site-packages/matplotlib/contour.py:1197: 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  0.655 seconds)


.. _sphx_glr_download_auto_examples_plot_4_1_1_pwv_atoms.py:


.. only :: html

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



  .. container:: sphx-glr-download

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



  .. container:: sphx-glr-download

     :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>`_