[music-dsp] the original reference for Nyquist-Shannon theorem

Does anyone know what is the original published source for the Nyquist-Shannon theorem? Dr Victor Lazzarini Dean of Arts, Celtic Studies and Philosophy, Maynooth University, Maynooth, Co Kildare, Ireland Tel: 00 353 7086936 Fax: 00 353 1 7086952 -- dupswapdrop -- the mus

Re: [music-dsp] the original reference for Nyquist-Shannon theorem

According to the german Wikipedia, Shannon published it here: Proc. IRE. Vol. 37, No. 1, 1949 And Nyqvist published his theorem here: Harry Nyquist : Certain Topics in Telegraph Transmission Theory. In: Transactions of the American Institute of Electr

Re: [music-dsp] the original reference for Nyquist-Shannon theorem

http://web.stanford.edu/class/ee104/shannonpaper.pdf is a reprint from 1949 2015-06-19 14:00 GMT+02:00 STEFFAN DIEDRICHSEN : > According to the german Wikipedia, Shannon published it here: > Proc. IRE. Vol. 37, No. 1, 1949 > > And Nyqvist published his theorem here: > Harry Nyquist

Re: [music-dsp] the original reference for Nyquist-Shannon theorem

Fantastic, thanks Uli & Steffan. Dr Victor Lazzarini Dean of Arts, Celtic Studies and Philosophy, Maynooth University, Maynooth, Co Kildare, Ireland Tel: 00 353 7086936 Fax: 00 353 1 7086952 > On 19 Jun 2015, at 13:03, Uli Brueggemann wrote: > > http://web.stanford.edu/

Re: [music-dsp] FPGA or SHARC Programmer wanted

I've contemplated several times trying out FPGA for physical modeling of instruments. I'd love to know how people are using FPGAs within the more traditional signal processing realm. They are become increasingly common in some hardware, specifically RME uses it for signal processing (powers their o

Re: [music-dsp] FPGA or SHARC Programmer wanted

OK, I will bite first. I should point out that I am a SHARC partisan with many, many designs behind me. That said, I have also worked with FPGAs. Modern DSPs such as the SHARC have become increasingly more powerful. Moore's law has applied to them as well as their more general purpose cousi

Re: [music-dsp] FPGA or SHARC Programmer wanted

Modules are on our roadmap for fall release. Al Clark www.danvillesignal.com On 6/19/2015 9:16 AM, Niels Dettenbach (Syndicat.com) wrote: -BEGIN PGP SIGNED MESSAGE- Hash: SHA256 Am 19. Juni 2015 15:57:56 MESZ, schrieb Al Clark : Sometimes a mixed approach is a better idea. You can i

Re: [music-dsp] Sampling theorem extension

Upon a little bit more thinking I came to the conclusion that the expressed in the earlier post (quoted below) idea should work. Indeed, the windowed signal y(t) can be represented as a series of windowed monomials, by simply windowing each of the terms of its Taylor series separately. If the

Re: [music-dsp] Sampling theorem extension

On 2015-06-12, Ethan Duni wrote: Thanks for expanding on that, this is quite interesting stuff. However, if I'm following this correctly, it seems to me that the problem of multiplication of distributions means that the whole basic set-up of the sampling theorem needs to be reworked to make se

Re: [music-dsp] Sampling theorem extension

>Now that I read up on it... Actually no. Every tempered distribution has a >Fourier transform, and if that's compactly supported, the original distribution >can be reconstructed via the usual Shannon-Whittaker sinc interpolation >formula. That also goes for polynomials and sine modulated polynomia

Re: [music-dsp] Sampling theorem extension

On 2015-06-19, Ethan Duni wrote: I guess what we lose is the model of sampling as multiplication by a stream of delta functions, but that is more of a pedagogical convenience than a basic requirement to begin with. In fact even that survives fully. In the local integration framework that the

Re: [music-dsp] Sampling theorem extension

>Of course some funky global, dual shit happens then: you >actually need all of the samples from -inf to +inf in order to >define any polynomial, and no finitely supported in time subset will suffice. Right, this is what I was getting at with the convergence line of thinking. We theoretically need

Re: [music-dsp] Sampling theorem extension

On 6/19/15 5:03 PM, Sampo Syreeni wrote: On 2015-06-19, Ethan Duni wrote: I guess what we lose is the model of sampling as multiplication by a stream of delta functions, but that is more of a pedagogical convenience than a basic requirement to begin with. pedagogical convenience, schmedagogi

Re: [music-dsp] Sampling theorem extension

On 2015-06-19, Ethan Duni wrote: We theoretically need all samples from -inf to +inf in the regular sampling theorem as well, [...] Not exactly. If you take the typical sampling formula, with equidistant samples, you need them all. But in theory pretty much any numerable number of samples fr

Re: [music-dsp] Sampling theorem extension

On 2015-06-19, robert bristow-johnson wrote: i thought that, because of my misuse of the Dirac delta (from a mathematician's POV, but not from an EE's POV), i didn't think that the "model of sampling as multiplication by a stream of delta functions" was a living organism in the first place. i

[music-dsp] A brief history of Reverb

Sean Costello of Valhalla DSP recently presented at the Seattle chapter of AES with some interesting info on Reverberation. https://valhalladsp.wordpress.com/2015/06/19/slides-from-my-aes-reverb-presentation/ Doesn't tell you *how* to do it (there are many ways), but it's an interesting story.

Re: [music-dsp] Sampling theorem extension

On 6/19/15 7:22 PM, Sampo Syreeni wrote: Nota bene, this is not EE stuff per se. This is heady math stuff, used to formalize what you EEs wanted to do all along. It's the kind of collaboration where us math freaks provide the rubber...and then you EE folks can finally fuck your sister in peace

Re: [music-dsp] Sampling theorem extension

>Not exactly. If you take the typical sampling formula, with equidistant samples, you need them all. Yeah, that's what we're discussing isn't it? >But in theory pretty much any numerable number of samples from any compact interval will do. Sure, but that's not going to help us with figuring out

Re: [music-dsp] Sampling theorem extension

On 2015-06-19, Ethan Duni wrote: Not exactly. If you take the typical sampling formula, with equidistant samples, you need them all. Yeah, that's what we're discussing isn't it? Are we? You can approximate any L_2 bandlimited function arbitrarily closely with a finite number of samples. I d

[music-dsp] [ot] math vs. EE

On 2015-06-19, robert bristow-johnson wrote: we EEs are fucking our sisters when we say that there *is* a function that is zero almost everywhere, yet has an integral of 1. (but when we take the rubber off, we find out that it's a "distribution", not a "function" in the normal sense that one m

Re: [music-dsp] the original reference for Nyquist-Shannon theorem

On Jun 19, 2015, at 4:53 AM, Victor Lazzarini wrote: > Does anyone know what is the original published source for the > Nyquist-Shannon theorem? > > Dr Victor Lazzarini > Dean of Arts, Celtic Studies and Philosophy, > Maynooth University, > Maynooth, Co Kildare, Ireland