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:

    Film music should have the same relationship to the film drama that somebody’s piano playing in my living room has to the book I am reading.
    Igor Stravinsky (1882–1971)

    Every relationship that does not raise us up pulls us down, and vice versa; this is why men usually sink down somewhat when they take wives while women are usually somewhat raised up. Overly spiritual men require marriage every bit as much as they resist it as bitter medicine.
    Friedrich Nietzsche (1844–1900)