There are 2 messages in this thread.
You are currently looking at messages 1 to .
Is this discussion worth a thumbs up?
On Wed, 11 Jan 2006 16:44:48 -0500, Stan Pawlukiewicz <s...@spam.mitre.org> wrote: >robert bristow-johnson wrote: > >(big snip) > >s" that the data >> passed to it is one period of a discrete, infinite, and periodic >> sequence of numbers that has period length of N. >> >> i fail to see this as a misuse of the language to make a point and to >> say "The DFT is not a living creature so it cannot make assumptions..." >> fails to refute the point i make about the inherent periodic extension >> of data made by the DFT. >> >You really don't make the point either. I've read the periodic >extension perspective in Brigham's FFT book, but I have never seen it in >in any book that talks about Sturm Louville boundary value problems. >There is nothing that makes the periodic extension principle more >fundamental than the filter bank perspective,the orthogonal >decomposition perspective, or the sampling of the Z transform on the >unit circle perspective. It might make circular convolution a bit more >intuitive but it really just confuses the hell of people when you >present the overlap add method of filtering, and is kind of tangential >when you start talking about statistical spectral estimation. I'm late coming into this one because I just haven't had time to keep up with all the posts flying by. Has anybody argued the windowing perspective yet? i.e., the "periodicity" is only a consequence of the rectangular window inherent with the DFT? This is how we heated the discussion up years ago... ;) One of these days we can do a DFT on the last twenty years of comp.dsp posts to see the average period of how often this topic comes up. ;) It seems to be pretty regular... Eric Jacobsen Minister of Algorithms, Intel Corp. My opinions may not be Intel's opinions. http://www.ericjacobsen.org______________________________
in article t...@4ax.com, Eric Jacobsen at e...@ieee.org wrote on 01/11/2006 19:17: > Has anybody argued the windowing perspective yet? i.e., the > "periodicity" is only a consequence of the rectangular window inherent > with the DFT? ooooo! (aim taken...) Blam! Blam! Blam! Blam! :-) -- r b-j r...@audioimagination.com "Imagination is more important than knowledge."______________________________