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)

    Most childhood problems don’t result from “bad” parenting, but are the inevitable result of the growing that parents and children do together. The point isn’t to head off these problems or find ways around them, but rather to work through them together and in doing so to develop a relationship of mutual trust to rely on when the next problem comes along.
    Fred Rogers (20th century)