Re: [music-dsp] DFT by Simultaneous Equations

2014-07-09 Thread robert bristow-johnson
there is actually a way to compute an N-point DFT of real input efficiently using an N/2-point complex input DFT. but sometimes it's easier just to zero the imaginary parts of the N input samples and send it to an N-point complex DFT. when i get back, i'll show you. gotta go now. also, it

Re: [music-dsp] DFT by Simultaneous Equations

2014-07-09 Thread Charles Z Henry
On Wed, Jul 9, 2014 at 6:58 AM, Filipe Pereira wrote: > The first half of Smith's book is about real DFT and only after does he get > into complex DFT. I have also been told that there are 2 N-point real and > imaginary parts of the frequency domain, and the imaginary one is > disregarded. This la

Re: [music-dsp] DFT by Simultaneous Equations

2014-07-09 Thread Theo Verelst
Filipe Pereira wrote: ... equaliser, where you can visually compare a reference track/sound file with the track/sound file you're working on and equalise yours in order to visually match the frequency content of the reference one. And why would you want to do that ? I was writing about DFT and

Re: [music-dsp] DFT by Simultaneous Equations

2014-07-09 Thread Filipe Pereira
The first half of Smith's book is about real DFT and only after does he get into complex DFT. I have also been told that there are 2 N-point real and imaginary parts of the frequency domain, and the imaginary one is disregarded. This last information appears in several texts you all recommended me

Re: [music-dsp] DFT by Simultaneous Equations

2014-07-09 Thread Aengus Martin
If you are looking for free online resources- Julius O Smith's text on the DFT is good and very self-contained: https://ccrma.stanford.edu/~jos/st/ Probably not as formal, mathematically, as some of the other suggestions, but it may be a good starting point. Cheers, Aengus. On Wed, Jul 9, 20

Re: [music-dsp] DFT by Simultaneous Equations

2014-07-09 Thread STEFFAN DIEDRICHSEN
A fast, superficial reading gave me the impression , that the book doesn’t distcint between complex input DFT and real input DFT. Maybe it’s somewhere hidden or in-between . But with real input DFTs, there’s an Euler identity, which means, that the upper half of the DFT result is symmetrical to

Re: [music-dsp] DFT by Simultaneous Equations

2014-07-08 Thread zhiguang e zhang
Hello, I have found the National Instruments pages quite helpful: http://zone.ni.com/reference/en-XX/help/372416B-01/svtconcepts/fft_funda/ http://www.ni.com/white-paper/3342/en/ alpha.science.unitn.it/~bassi/Signal/NInotes/an041.pdf regards, Eric Z On Jul 8, 2014, at 11:45 AM, Bjorn Roche

Re: [music-dsp] DFT by Simultaneous Equations

2014-07-08 Thread Bjorn Roche
I have to agree with Charles. That book is useful because it's available free online, but there are other resources. At the risk of taking you away from the theory, you might find this blog post I wrote a while ago useful. It's on frequency detection, but many of the same concepts apply and it com

Re: [music-dsp] DFT by Simultaneous Equations

2014-07-08 Thread Charles Z Henry
On Tue, Jul 8, 2014 at 9:47 AM, Filipe Pereira wrote: > Am I misreading something or is there a mistake in this explanation? Should > it be 2 groups of N equations - N for the real and N for the imaginary part > of the frequency domain? It would be a dis-service to your education to answer such

[music-dsp] DFT by Simultaneous Equations

2014-07-08 Thread Filipe Pereira
Hi everyone, My name's Filipe, I'm a student at SAE Institute in London and I'm currently working on my final dissertation for my Audio Engineering degree. I'm doing a comparative equaliser, where you can visually compare a reference track/sound file with the track/sound file you're working on and