alpha-N equations?

[Mike Morrin]

Just wondering about alpha-N injection systems (ones that meter fuel just
from throttle position and RPM, without measuring either MAP or MAF).

In general, air_volume = f(TPS, RPM).

Is it necessary to keep a 3D map, or can it be reduced to a 2D lookup and a
calculation to correct for the other parameter?

I think that the relationship between TPS and air flow is likely to be
highly non-linear, so the question reduces to whether at a constant
throttle position, there is an easy relationship between RPM and air volume?

How about if it is assumed that one knows the function VE(RPM) for the
engine at WOT?

Just playing with ideas.

Mike