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

    Click :ref:`here <sphx_glr_download_auto_examples_plot_2_7_multicomp_nonstat_instfreq_grpdlay.py>` to download the full example code
.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_plot_2_7_multicomp_nonstat_instfreq_grpdlay.py:


=============================================================================================
Instantatneous Frequency and Group Delay Estimation of a Multi-Component Nonstationary Signal
=============================================================================================

Figure 2.10 from the tutorial.



.. image:: /auto_examples/images/sphx_glr_plot_2_7_multicomp_nonstat_instfreq_grpdlay_001.png
    :class: sphx-glr-single-img





.. code-block:: default


    #  N=128; x1=fmlin(N,0,0.2); x2=fmlin(N,0.3,0.5);
    #  x=x1+x2;
    #  ifr=instfreq(x); subplot(211); plot(ifr);
    #  fn=0:0.01:0.5; gd=sgrpdlay(x,fn);
    #  subplot(212); plot(gd,fn);
    from tftb.generators import fmlin
    from tftb.processing import inst_freq, group_delay
    import matplotlib.pyplot as plt
    import numpy as np

    N = 128
    x1, _ = fmlin(N, 0, 0.2)
    x2, _ = fmlin(N, 0.3, 0.5)
    x = x1 + x2
    ifr = inst_freq(x)[0]
    fn = np.arange(0.51, step=0.01)
    gd = group_delay(x, fn)

    plt.subplot(211)
    plt.plot(ifr)
    plt.xlim(1, N)
    plt.grid(True)
    plt.title('Instantaneous Frequency')
    plt.xlabel('Time')
    plt.ylabel('Normalized Frequency')

    plt.subplot(212)
    plt.plot(gd, fn)
    plt.xlim(1, N)
    plt.grid(True)
    plt.title('Group Delay')
    plt.xlabel('Time')
    plt.ylabel('Normalized Frequency')

    plt.subplots_adjust(hspace=0.5)

    plt.show()


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

   **Total running time of the script:** ( 0 minutes  0.505 seconds)


.. _sphx_glr_download_auto_examples_plot_2_7_multicomp_nonstat_instfreq_grpdlay.py:


.. only :: html

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



  .. container:: sphx-glr-download

     :download:`Download Python source code: plot_2_7_multicomp_nonstat_instfreq_grpdlay.py <plot_2_7_multicomp_nonstat_instfreq_grpdlay.py>`



  .. container:: sphx-glr-download

     :download:`Download Jupyter notebook: plot_2_7_multicomp_nonstat_instfreq_grpdlay.ipynb <plot_2_7_multicomp_nonstat_instfreq_grpdlay.ipynb>`


.. only:: html

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

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