Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread Xue Wen
Given that you know how many sinusoids there are (let it be 5) and that they're clean and well-sampled, most of the time you need only 15 samples to determine each of them (one sample for each unknown parameter, that is) with certainty up to polarities and 2pi phase shifts. It's affected by limited

Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread Xue Wen
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Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread Theo Verelst
Charles Z Henry wrote: What I mean is that the interpolation of DFT values gives you values at the in-between frequencies. You have to be careful about presumptions of the kind in the main theory to begin with. *if* you sampled properly, *and* either it is given you have certain sinusoid

Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread Emanuel Landeholm
> > You have to be careful about presumptions of the kind in the main theory > to begin with. *if* you sampled properly, *and* either it is given you have > certain sinusoidal components, or your sample row and analysis length is > long enough (probably seconds for high q audio), there's only one c

Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread Charles Z Henry
On Tue, Mar 11, 2014 at 5:52 PM, robert bristow-johnson wrote: > On 3/11/14 5:18 PM, Charles Z Henry wrote: > ... > >> Information from every non-harmonic frequency is not lost: it is >> simply distributed into every harmonic frequency. The task is then to >> recover the frequency amplitude and p

Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread Sampo Syreeni
On 2014-03-12, Emanuel Landeholm wrote: The intepolation filter only needs to be infinitely long if you need infinite precision. In practice, any dsp filter is windowed to a finite length. There is a relationship between the length of the window and the uncertainty of the frequency. Yes. And

Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread robert bristow-johnson
On 3/11/14 5:18 PM, Charles Z Henry wrote: ... Information from every non-harmonic frequency is not lost: it is simply distributed into every harmonic frequency. The task is then to recover the frequency amplitude and phase of a series of sinusoids that best-fit the data. Good news: it's just a

Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread Charles Z Henry
On Tue, Mar 11, 2014 at 12:11 PM, Theo Verelst wrote: > > > In this time where DSP and FFTs are become cheaper and cheaper per operation, > I think it is interesting to know what is reasonable to expect from a sampled > (digital) signal processing operator w.r.t. a familiar and often important

Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread Ethan Duni
> In the mathematical sense, we could take a Fourier Integral of these signals neatly added together, > and the outcome would be 3 "spikes" at the respective frequencies, with the proper amplitude. No, you get *6* spikes, since these are real-valued signals. So there are components at both the pos

Re: [music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread robert bristow-johnson
On 3/11/14 1:11 PM, Theo Verelst wrote: I suppose I'm pleading for a bit more clearness about what various types of (useful) filters do, and suggest there's a clear link with the mathematical and EE realm where frequency recognition should be completely possible, to any accuracy, until the *rea

[music-dsp] The Uncertainties in Frequency Recognition

2014-03-11 Thread Theo Verelst
In this time where DSP and FFTs are become cheaper and cheaper per operation, I think it is interesting to know what is reasonable to expect from a sampled (digital) signal processing operator w.r.t. a familiar and often important concept: frequency detection, or maybe you can call it spectra

Re: [music-dsp] dsPIC33 boards for Audio DSP work.

2014-03-11 Thread Alberto di Bene
On 3/10/2014 8:14 PM, Joe Farrish wrote: /Alberto, Concerning your ST recommendation can you describe what the programing IDE,// //language used, and other things to make them operational for audio use? Joe./ Joe, I am developing on the M4F chip an SDR (Software Defined Radio) applica