[music-dsp] Name of delay-free loop technique
martin.eisenberg at udo.edu
Mon Jun 8 18:01:38 EDT 2009
Vadim Zavalishin wrote:
> Except that you have introduced a different time scale, where
> t_end=infinity occurs before y[n] (or at the same time).
I thought of this as happening outside true time. A matter of
taste, I guess.
>> Do you know any analog devices, besides perhaps
>> oscillators, that routinely operate that way? Have you
>> generally found it sufficient to solve the system as if linear
>> and then saturate the result?
> Of course generally it's not sufficient.
I have a feeling you've answered a different question than I
intended -- have you mostly been satisfied with the cheap
> Instantaneously unstable cases
> will correspond to the horizontally-reverted graph of
> g*tanh(x-ky), where the graph's steepness (derivative) must
> exceed 1, in which case the system "wants" to go into the
> opposite direction of the intersection of the h(y)=y-s and the
> nonlinearity's tangent line (I think).
I can't quite picture it. Tangent line where -- at the steepest
point? And by "in the opposite direction of", do you mean "away
from" the intersection? I'd guess you do because that
interpretation does make the selection unique; namely, the
solution jumps from one outside branch of the multivalued inverse
function to the other as soon as the input enters the latter's
support. Is that what you're saying?
More information about the music-dsp