KVR Audio

xcomp · Post by **xcomp** » Thu Jun 30, 2005 3:33 am

Yeah . . . I've forgotten a lot of this stuff since college . . . your definition of orthogonality looks familiar . . . Thanks a lot for your explanations! I feel like I should print out this thread and have a closer look!

Rusty Shackleford · Post by **Rusty Shackleford** » Thu Jun 30, 2005 5:04 am

Weird... just noticed that my earlier post got eaten by the board

PA · Post by PA » Thu Jun 30, 2005 5:52 am

Ben,

Can you cancel this thread urgently, these guys are getting dangerously insane ?

By the way rbet, you may be looking at how to program this stuff. I am pretty sure you can find lots of resources on the web for programs which actually perform all kinds of fast Fourier Transform, including versions which are best suited for audio. Check TobbyBear site for such links.

Cheers,

PA

Space Boy · Post by **Space Boy** » Thu Jun 30, 2005 6:43 am

rbet wrote:Is there a mathematical proof of the statement that any wave can be considered as a superposition of a number of sine waves? I have seen a few graphical examples, but I'd just like to see it presented mathematically. Thanks.

That's just what a FFT is doing. Take any random signal and FFT it, what you get is a spectrum of all the frequencies, their amplitudes and relative phases. FFT is implementing the Discrete Fourier Transform. This is well documented. Just Google FFT.

proletkult · Post by **proletkult** » Thu Jun 30, 2005 8:35 am

xcomp wrote:Can any of you suggest a good book that explains the Fourier transform & other music-related math-intensive issues (eg, sampling theorem), but written for musicians? Rusty Shackleford -- I suspect that the books you suggested may be too advanced for me right now . . . it's been a few years since calculus & linear algebra. . . . maybe I'll understand them in another year or so, after some brushing up. BTW, I've read the Computer Music Tutorial, but the discussions didn't go into enough depth for me.

I'd also like to get a book like that as I've been reading this thread thinking Kvr has a new foreign language section!

xcomp · Post by **xcomp** » Thu Jun 30, 2005 1:18 pm

PA wrote:Ben, . . . these guys are getting dangerously insane . . .

Probably true . . .

nuffink · Post by **nuffink** » Thu Jun 30, 2005 1:24 pm

xcomp wrote:Can any of you suggest a good book that explains the Fourier transform & other music-related math-intensive issues (eg, sampling theorem), but written for musicians? Rusty Shackleford -- I suspect that the books you suggested may be too advanced for me right now . . . it's been a few years since calculus & linear algebra. . . . maybe I'll understand them in another year or so, after some brushing up. BTW, I've read the Computer Music Tutorial, but the discussions didn't go into enough depth for me.

BORES.

Math proof of common knowledge?