Discrete-time Fourier Transform - Relationship To The Z-transform

Relationship To The Z-transform

The DTFT is a special case of the Z-transform. The bilateral Z-transform is defined as:

So the special case is . Since, it is the evaluation of the Z-transform around the unit circle in the complex plane.

Read more about this topic:  Discrete-time Fourier Transform

Famous quotes containing the words relationship to the, relationship to and/or relationship:

    ... the Wall became a magnet for citizens of every generation, class, race, and relationship to the war perhaps because it is the only great public monument that allows the anesthetized holes in the heart to fill with a truly national grief.
    Adrienne Rich (b. 1929)

    Artists have a double relationship towards nature: they are her master and her slave at the same time. They are her slave in so far as they must work with means of this world so as to be understood; her master in so far as they subject these means to their higher goals and make them subservient to them.
    Johann Wolfgang Von Goethe (1749–1832)

    When any relationship is characterized by difference, particularly a disparity in power, there remains a tendency to model it on the parent-child-relationship. Even protectiveness and benevolence toward the poor, toward minorities, and especially toward women have involved equating them with children.
    Mary Catherine Bateson (20th century)