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.. only:: html

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        :ref:`Go to the end <sphx_glr_download_examples_maximizestopbandattenuation.py>`
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.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_maximizestopbandattenuation.py:


==============================
Maximize stopband attenuation.
==============================

Often one wants to maximize the stopband attenuation of a filter subject to a given passband ripple and filter order.
This can be done by minimizing the approximation error in the stopband subject to a constraint on the passband ripple.
This example shows how to do this.

.. GENERATED FROM PYTHON SOURCE LINES 10-17

.. code-block:: Python


    from mplsignal import freqz_fir

    from fird.constraint import PiecewiseLinearConstraint
    from fird.designer import FIRDesigner
    from fird.objective import PiecewiseLinearObjective








.. GENERATED FROM PYTHON SOURCE LINES 18-20

Create a constraint for the passband ripple of maximum 0.01 and an objective to minimize the approximation error in the stopband.
First, design a filter minimizing the approximation error using a filter order of 30.

.. GENERATED FROM PYTHON SOURCE LINES 20-26

.. code-block:: Python

    c = PiecewiseLinearConstraint([0, 0.3], [1, 1], [0.01])
    o = PiecewiseLinearObjective([0.5, 1], [0, 0])
    d = FIRDesigner(31, o, c)
    d.solve()
    h30 = d.get_impulse_response()
    freqz_fir(h30).show()



.. image-sg:: /examples/images/sphx_glr_maximizestopbandattenuation_001.png
   :alt: maximizestopbandattenuation
   :srcset: /examples/images/sphx_glr_maximizestopbandattenuation_001.png
   :class: sphx-glr-single-img






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