[music-dsp] Article: antialiased sine waveform syncing

[george bezerianos]

On Tue, Jun 9, 2009 at 12:55 PM, Vadim
Zavalishin<vadim.zavalishin at native-instruments.de> wrote:
>> yes, i gathered that too.  and since the BLIT is BL, any LTI  operation
>> you do to it will result in an output that is likewize BL.
>
> What's difficult for me to intuitively understand there, is that convolution
> with BLIT in the discrete-time domain doesn't guarantee the "correct
> bandlimitness". In fact one can consider any discrete-time signal as
> "technically bandlimited", since after going through the DAC the sound will
> be definitely bandlimited. What is important is whether the "technically
> bandlimited" signal is identical to what we expect. E.g. an aliasing
> sawtooth sound at the speaker output is still bandlimited, however it is
> bandlimited in an undesired way, that's why we complain.
>
> In this respect I personally fail to see how "correctly" the signals
> produced by BLOO will be bandlimited, as it seems to me that the method
> should introduce certain artifacts. Ideally I'd like to see a comparison of
> an ideal continuous-time spectrum against a spectrum restored from the
> discrete time signal.
>

I'm not sure why you fail to understand this considering it's convolution.
As for how to remove artifacts and approximate the continuous-time case
read my response to RBJ's post. If you need a specific formula, there's not one
at the moment unfortunately, as this involves me completing the theory
and i dont have really the time right now.

Seriously. Read my post please.

L8r,

George Bezerianos

> Regards,
> Vadim
>
> --
> Vadim Zavalishin
> Senior Software Developer | R&D
>
> Tel +49-30-611035-0
> Fax +49-30-611035-2600
>
> NATIVE INSTRUMENTS GmbH
> Schlesische Str. 28
> 10997 Berlin, Germany
> http://www.native-instruments.com
>
> Registergericht: Amtsgericht Charlottenburg
> Registernummer: HRB 72458
> UST.-ID.-Nr. DE 20 374 7747
> Geschaeftsfuehrung: Daniel Haver (CEO), Mate Galic
>
> --
> dupswapdrop -- the music-dsp mailing list and website: subscription info,
> FAQ, source code archive, list archive, book reviews, dsp links
> http://music.columbia.edu/cmc/music-dsp
> http://music.columbia.edu/mailman/listinfo/music-dsp
>