energygate

the question

Is Griffin's RG-LRU sqrt(1-a^2) input scale the unique unit-energy scaling, and what does that white-noise orthonormality cost at DC?

what came out

sqrt(1-a^2) is the unique scale giving unit impulse energy, so RG-LRU holds stationary variance at exactly 1 on white input while the convex gate leaks 2a(1-a) per step to a (1-a)/(1+a) collapse (0.0005 at a=0.999). The price is a DC power gain (1+a)/(1-a) that diverges -- measured 19, 199, 1999.

→ read the code and re-run it