I'm trying to figure out the structure of this equation. So, to calculate the power density at the receiver we would use the following formula:
PDr = PDs/ 4 pi R^2
To remove compound errors, we need to account for all the variables over a given distance. Thus, for every meter, we need to account for additional sources of loss (ASL):
PDr = (PDs /4 pi R^2) - ASL
Thus, we can wrap this up in a function and use a lookup table to calculate the losses over a location in 3D space as so:
PDr = f(PDs, distance)
So, rewriting to solve for distance, the formula is:
Distance = f (PDr, PDs)
and the function has a lookup table for the specific loss over a 3D area. We could also use a rough trilateration first to determine which elements of the lookup table to include. This would be useful in a satellite scenario where the atmosphere is in one direction and space in the other, as these vectors will have different associated losses.
Anyone see any problems so far?