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 and/or relationship:

    Women, because of their colonial relationship to men, have to fight for their own independence. This fight for our own independence will lead to the growth and development of the revolutionary movement in this country. Only the independent woman can be truly effective in the larger revolutionary struggle.
    Women’s Liberation Workshop, Students for a Democratic Society, Radical political/social activist organization. “Liberation of Women,” in New Left Notes (July 10, 1967)

    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)