The Fourier Transform is defined as
(1) |
(2) |
(3) |
(4) |
(5) |
(6) |
The discrete Fourier transform is a special case of the z-Transform.
See also Fast Fourier Transform, Fourier Transform, Hartley Transform, Winograd Transform, z-Transform
References
Arfken, G. ``Discrete Orthogonality--Discrete Fourier Transform.'' §14.6 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 787-792, 1985.
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Fourier Transform of Discretely Sampled Data.'' §12.1 in Numerical Recipes in C: The Art of Scientific Computing. Cambridge, England: Cambridge University Press, pp. 494-498, 1989.
© 1996-9 Eric W. Weisstein