This MP3 comes from Bill Sethares, professor in Electrical Engineering at the University of Wisconsin-Madison: <http://eceserv0.ece.wisc.edu/~sethares/mp3s/Fouriers_Song.mp3> Paul
HUMOUR: Fourier's Song
Started by ●May 2, 2004
Reply by ●May 2, 20042004-05-02
Paul Russell <prussell@sonic.net> writes:> This MP3 comes from Bill Sethares, professor in Electrical Engineering > at the University of Wisconsin-Madison: > > <http://eceserv0.ece.wisc.edu/~sethares/mp3s/Fouriers_Song.mp3>He needs to stay a professor... That's awful! -- % Randy Yates % "So now it's getting late, %% Fuquay-Varina, NC % and those who hesitate %%% 919-577-9882 % got no one..." %%%% <yates@ieee.org> % 'Waterfall', *Face The Music*, ELO http://home.earthlink.net/~yatescr
Reply by ●May 3, 20042004-05-03
Paul Russell wrote:> This MP3 comes from Bill Sethares, professor in Electrical Engineering > at the University of Wisconsin-Madison: > > <http://eceserv0.ece.wisc.edu/~sethares/mp3s/Fouriers_Song.mp3> >See, not a word about periodicity. :-) Bob -- "Things should be described as simply as possible, but no simpler." A. Einstein
Reply by ●May 3, 20042004-05-03
Randy Yates <yates@ieee.org> writes:> Paul Russell <prussell@sonic.net> writes: > > > This MP3 comes from Bill Sethares, professor in Electrical Engineering > > at the University of Wisconsin-Madison: > > > > <http://eceserv0.ece.wisc.edu/~sethares/mp3s/Fouriers_Song.mp3> > > He needs to stay a professor... That's awful!Hey! Bill's a really good professor of EE. :-) You should try some of his Xentonality stuff; that's spaced-out, man! Ciao, Peter K. -- Peter J. Kootsookos "I will ignore all ideas for new works [..], the invention of which has reached its limits and for whose improvement I see no further hope." - Julius Frontinus, c. AD 84
Reply by ●May 4, 20042004-05-04
Reply by ●May 6, 20042004-05-06
On Sun, 02 May 2004 16:24:22 GMT, Paul Russell <prussell@sonic.net> wrote:>This MP3 comes from Bill Sethares, professor in Electrical Engineering >at the University of Wisconsin-Madison: > ><http://eceserv0.ece.wisc.edu/~sethares/mp3s/Fouriers_Song.mp3> > >PaulHi, Prof. Sethares' musical skills exceed 95% of all the currently-popular singers/songwriters. I wish his vocals were a little louder relative to the instrumental part. I had trouble understanding the lyrics. I mean, come on, how often do you hear the phrase "complex exponentials" is a song? (!!) Too bad he didn't have a few lines about whether the DFT inputs have to be periodic, or not. :-) Thanks, [-Rick-]
Reply by ●May 6, 20042004-05-06
Rick Lyons wrote:> On Sun, 02 May 2004 16:24:22 GMT, Paul Russell <prussell@sonic.net> > wrote: > > >>This MP3 comes from Bill Sethares, professor in Electrical Engineering >>at the University of Wisconsin-Madison: >> >><http://eceserv0.ece.wisc.edu/~sethares/mp3s/Fouriers_Song.mp3> >> >>Paul > > > Hi, > > Prof. Sethares' musical skills exceed > 95% of all the currently-popular > singers/songwriters. > > I wish his vocals were a little louder > relative to the instrumental part. I had > trouble understanding the lyrics. > I mean, come on, how often do you hear the > phrase "complex exponentials" is a song? (!!) > > Too bad he didn't have a few lines about whether the > DFT inputs have to be periodic, or not. :-) > > Thanks, > [-Rick-]I'm glad I'm not the only one who had trouble with the lyrics. It might have been an age thing. As for periodic inputs to a DFT, that doesn't really matter. What matters is what the DFT assumes, and that probably depends on how you read the outputs. :-) Jerry -- Engineering is the art of making what you want from things you can get. �����������������������������������������������������������������������
Reply by ●May 6, 20042004-05-06
On Sun, 02 May 2004 16:24:22 GMT, Paul Russell <prussell@sonic.net> wrote:>This MP3 comes from Bill Sethares, professor in Electrical Engineering >at the University of Wisconsin-Madison: > ><http://eceserv0.ece.wisc.edu/~sethares/mp3s/Fouriers_Song.mp3> > >PaulHa ha. I found the lyrics. Here they are. I LOVE IT !!!! Integrate your function times a complex exponential It's really not so hard you can do it with your pencil And when you're done with this calculation You've got a brand new function - the Fourier Transformation What a prism does to sunlight, what the ear does to sound Fourier does to signals, it's the coolest trick around Now filtering is easy, you don't need to convolve All you do is multiply in order to solve. From time into frequency - from frequency to time Every operation in the time domain Has a Fourier analog - that's what I claim Think of a delay, a simple shift in time It becomes a phase rotation - now that's truly sublime! And to differentiate, here's a simple trick Just multiply by J omega, ain't that slick? Integration is the inverse, what you gonna do? Divide instead of multiply - you can do it too. From time into frequency - from frequency to time Let's do some examples... consider a sine It's mapped to a delta, in frequency - not time Now take that same delta as a function of time Mapped into frequency - of course - it's a sine! Sine x on x is handy, let's call it a sinc. Its Fourier Transform is simpler than you think. You get a pulse that's shaped just like a top hat... Squeeze the pulse thin, and the sinc grows fat. Or make the pulse wide, and the sinc grows dense, The uncertainty principle is just common sense. [-Rick-]
Reply by ●May 6, 20042004-05-06
Jerry Avins wrote:> Rick Lyons wrote: > >> On Sun, 02 May 2004 16:24:22 GMT, Paul Russell <prussell@sonic.net> >> wrote: >> >>> <http://eceserv0.ece.wisc.edu/~sethares/mp3s/Fouriers_Song.mp3> >>> >>> Paul >> >> Hi, >> >> Prof. Sethares' musical skills exceed 95% of all the >> currently-popular singers/songwriters. >> >> I wish his vocals were a little louder relative to the instrumental > > > I'm glad I'm not the only one who had trouble with the lyrics. It might > have been an age thing. As for periodic inputs to a DFT, that doesn't > really matter. What matters is what the DFT assumes, and that probably > depends on how you read the outputs. :-) > > JerryHi, I'm also glad to learn it's not my poor english understanding, not this time, at least :-) Wrt 95%, it's a couple of days that I find myself mumbling "tiiiime... frrrrre-quen-cy, frrrrre-quen-cy, tiiiiiiime" That probably means the music is good, or, at least, that I like it :-) -javier
Reply by ●May 6, 20042004-05-06
Lyrics are here: http://eceserv0.ece.wisc.edu/~sethares/mp3s/fourier.html "Rick Lyons" <r.lyons@_BOGUS_ieee.org> wrote in message news:4099acdf.361359765@news.sf.sbcglobal.net...> On Sun, 02 May 2004 16:24:22 GMT, Paul Russell <prussell@sonic.net> > wrote: > > >This MP3 comes from Bill Sethares, professor in Electrical Engineering > >at the University of Wisconsin-Madison: > > > ><http://eceserv0.ece.wisc.edu/~sethares/mp3s/Fouriers_Song.mp3> > > > >Paul > > Hi, > > Prof. Sethares' musical skills exceed > 95% of all the currently-popular > singers/songwriters. > > I wish his vocals were a little louder > relative to the instrumental part. I had > trouble understanding the lyrics. > I mean, come on, how often do you hear the > phrase "complex exponentials" is a song? (!!) > > Too bad he didn't have a few lines about whether the > DFT inputs have to be periodic, or not. :-) > > Thanks, > [-Rick-] > >
