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

    Click :ref:`here <sphx_glr_download_auto_examples_plot_3_4_2_morlet_scalogram_dirac_impulse.py>` to download the full example code
.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_plot_3_4_2_morlet_scalogram_dirac_impulse.py:


===================================
Morlet Scalogram of a Dirac Impulse
===================================

This example plots the scalogram of a Dirac impulse functions. This shows the
behaviour of the scalograms as the scale (or inversely, the frequency) changes.
it is well localized for small scales (large frequencies), and less localized
as the scale increases (as the frequency decreases).

Figure 3.19 from the tutorial.



.. image:: /auto_examples/images/sphx_glr_plot_3_4_2_morlet_scalogram_dirac_impulse_001.png
    :class: sphx-glr-single-img





.. code-block:: default


    from tftb.generators import anapulse
    from tftb.processing import Scalogram
    import numpy as np
    import matplotlib.pyplot as plt

    sig1 = anapulse(128)
    tfr, t, f, _ = Scalogram(sig1, waveparams=6, fmin=0.05, fmax=0.45,
                             n_voices=128).run()
    tfr = np.abs(tfr) ** 2
    threshold = np.amax(tfr) * 0.05
    tfr[tfr <= threshold] = 0.0
    t, f = np.meshgrid(t, f)
    plt.contour(t, f, tfr, 20)
    plt.grid()
    plt.title('Morlet Scalogram of a Dirac Impluse')
    plt.xlabel('Time')
    plt.ylabel('Normalized Frequency')
    plt.show()


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

   **Total running time of the script:** ( 0 minutes  0.205 seconds)


.. _sphx_glr_download_auto_examples_plot_3_4_2_morlet_scalogram_dirac_impulse.py:


.. only :: html

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



  .. container:: sphx-glr-download

     :download:`Download Python source code: plot_3_4_2_morlet_scalogram_dirac_impulse.py <plot_3_4_2_morlet_scalogram_dirac_impulse.py>`



  .. container:: sphx-glr-download

     :download:`Download Jupyter notebook: plot_3_4_2_morlet_scalogram_dirac_impulse.ipynb <plot_3_4_2_morlet_scalogram_dirac_impulse.ipynb>`


.. only:: html

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

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