.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/plot_1_3_1_chirp_spectrum.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        Click :ref:`here <sphx_glr_download_auto_examples_plot_1_3_1_chirp_spectrum.py>`
        to download the full example code

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

.. _sphx_glr_auto_examples_plot_1_3_1_chirp_spectrum.py:


==================================
Energy Spectral Density of a Chirp
==================================

Construct a chirp and plot its `energy spectral density
<https://en.wikipedia.org/wiki/Spectral_density#Energy_spectral_density>`_.

Figure 1.2 from the tutorial.

.. GENERATED FROM PYTHON SOURCE LINES 19-38



.. image-sg:: /auto_examples/images/sphx_glr_plot_1_3_1_chirp_spectrum_001.png
   :alt: Spectrum
   :srcset: /auto_examples/images/sphx_glr_plot_1_3_1_chirp_spectrum_001.png
   :class: sphx-glr-single-img





.. code-block:: default


    from tftb.generators import fmlin
    import matplotlib.pyplot as plt
    import numpy as np

    n_points = 128
    fmin, fmax = 0.0, 0.5
    signal, _ = fmlin(n_points, fmin, fmax)

    # Plot the energy spectrum of the chirp

    dsp1 = np.fft.fftshift(np.abs(np.fft.fft(signal)) ** 2)
    plt.plot(np.arange(-64, 64, dtype=float) / 128.0, dsp1)
    plt.xlim(-0.5, 0.5)
    plt.title('Spectrum')
    plt.ylabel('Squared modulus')
    plt.xlabel('Normalized Frequency')
    plt.grid()
    plt.show()


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

   **Total running time of the script:** ( 0 minutes  0.131 seconds)


.. _sphx_glr_download_auto_examples_plot_1_3_1_chirp_spectrum.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_1_3_1_chirp_spectrum.py <plot_1_3_1_chirp_spectrum.py>`

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

      :download:`Download Jupyter notebook: plot_1_3_1_chirp_spectrum.ipynb <plot_1_3_1_chirp_spectrum.ipynb>`


.. only:: html

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

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