Since this on-line book became part of a published printed book (in Sept. of 2003), its content is now frozen. Any material for a second edition will accumulate at a new URL, to be listed on the JOS Pubs Page.
Book version:
Smith, Julius O. Mathematics of the Discrete Fourier Transform (DFT), W3K Publishing, http://www.w3k.org/books/, 2003, ISBN 0-9745607-0-7.
Web version:
Smith, J.O. Mathematics of the Discrete Fourier Transform (DFT), http://www-ccrma.stanford.edu/~jos/mdft/, 2003, ISBN 0-9745607-0-7.
Specific page citation:
Smith, J.O. "Fourier Theorems for the DFT", in Mathematics of the Discrete Fourier Transform (DFT), http://www-ccrma.stanford.edu/~jos/mdft/Fourier_Theorems_DFT.html, 2003.
Raw HTML example:
Smith, J.O. Mathematics of the Discrete Fourier Transform (DFT), <A HREF="http://www-ccrma.stanford.edu/~jos/mdft/"> <tt>http://www-ccrma.stanford.edu/~jos/mdft/</tt></A>, 2003, ISBN 0-9745607-0-7.
BibTeX example (assuming \usepackage{html} in LaTeX):
@BOOK{MDFT, AUTHOR = "Julius O. Smith", TITLE = "Mathematics of the Discrete Fourier Transform (DFT)", PUBLISHER = "W3K Publishing", ADDRESS = "\htmladdnormallink{http://www.w3k.org/books/}{http://www.w3k.org/books/}", YEAR = 2003, ISBN = "0-9745607-0-7" }where the \htmladdnormallink{} macro is defined in the LaTeX input-file html.sty, distributed with LaTeX2HTML.
While the contents of this Web document are now frozen to stay matched to the printed book version, the hypertext links are not. All content pages on this website are periodically recompiled to fix broken links and add better ones. The first copyright date at the bottom of each HTML page (for the content itself) is the date of the printed book version, while the second is the date of last recompilation.
Electronic copies of this entire HTML document may be freely made for on-line, non-commercial usage (e.g., to maximize local access speed, guarantee future availability in exactly the current form, and the like). In such copies, relative URLs pointing outside the current document should be converted to absolute URLs. Other changes may be made only with the permission of the author. Please do not remove the existing absolute links at the bottom of each HTML page which point back to the original location of the document. Also, remember that the hypertext links are updated and improved from time to time.
Obtaining hardcopies