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

    Click :ref:`here <sphx_glr_download_auto_examples_plot_4_1_1_wv_real_signal.py>` to download the full example code
.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_plot_4_1_1_wv_real_signal.py:


================================================================================
Sampling Effects on the Wigner-Ville Distribution of a Real Valued Gaussian Atom
================================================================================

This example shows the Wigner-Ville distribution of a real valued Gaussian
atom. If a signal is sampled at the Nyquist rate, the WVD is affected by
spectral aliasing and many additional interferences. To fix this, either the
signal may be oversampled, or an analytical signal may be used.

Figure 4.6 from the tutorial.



.. image:: /auto_examples/images/sphx_glr_plot_4_1_1_wv_real_signal_001.png
    :class: sphx-glr-single-img





.. code-block:: default


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

    x = np.array([[32, .15, 20, 1],
                 [96, .32, 20, 1]])
    g = atoms(128, x)
    spec = WignerVilleDistribution(np.real(g))
    spec.run()
    spec.plot(kind="contour", show_tf=True, scale="log")


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

   **Total running time of the script:** ( 0 minutes  0.553 seconds)


.. _sphx_glr_download_auto_examples_plot_4_1_1_wv_real_signal.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_wv_real_signal.py <plot_4_1_1_wv_real_signal.py>`



  .. container:: sphx-glr-download

     :download:`Download Jupyter notebook: plot_4_1_1_wv_real_signal.ipynb <plot_4_1_1_wv_real_signal.ipynb>`


.. only:: html

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

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