Gearhead wrote:
I suppose they do, but in general modelling means simplifying. You can neglect some of the more subtle factors of your equations or simply not be aware of them, which then makes your model differ from reality. For instance, with the newtonian force model you cannot explain why bath water swirls around the drain (clockwise on the northern hemisphere and the other way over here) but if you take the Coriolis acceleration into account it is all too clear.
One way to avoid having to figure out all the small things is to not model, but rather work with statistical data of how sound gets changed. Profiling amps work that way as far as I understand the thing.
I think you're right about the statistical models. I think they have a kind of generalised model inside the profiling amp (seeing that it doesn't know what kind of amp it is profiling) then taking the input, which it gets from your guitar and the output, which it get's via the mic or line-out, it works out, empirically, some numbers which represents the transformation from the one to the other. This is a well established way of making a model of something if you need numbers, which for making noise is fine. The big hassle with such systems are to find a mathematical description that:
1. allows enough degrees of freedom to match the output to the input
2. to do 1. whilst staying fairly well-behaved in regions not covered by the input.
If this sounds weird think of it like this:
you are profiling your own amp. You set it for a very overdriven tone but roll your guitar back so that it is clean. Now you play some quiet chords and such and the profiler matches that input up to the output. Fine. Now you switch to the profiler and turn your guitar up to 100%. What happens? In this case you would like your guitar sound to not be TOO zany but the model doesn't have much knowledge of what should happen, but it should make a more distorted tone i.e. it should behave like you'd expect hence ''well-behaved''.
Doing a good profile of an amp shoudn't involve any playing really. The profiler should be able to inject signals into your amp all by itself and build up a complete empirical model of all (most) expected inputs. I think it does this anyway (when its playing those crazy space sounds). However, given the number of different amp designs and such, I'd be highly surprised if it can model any one amp well over its entire range of sounds, even with generous input info. It will excel at covering a smaller set of range of sounds per amp, because it is easier to model a small domain than a complete one.