DoUDive2:3-Dimentional positioning of the diver underwater using sonar trilateration seems like a great idea, but it is way too expensive for me. However, I am interested in sonar devices such as Neverlost, Eye Sea, and XIOS which provide bearings back to the boat. They are still expensive, but I have read some interesting threads that describe their operation. see: http://www.scubaboard.com/t26321.html If you keep the batteries charged and dry, they beat dead reckoning.
Chris
Ahh! Now you have something! You have solved the last variable. IF you can obtain a bearing (in either a boresight LOS, or Magnetic) from the "box" to the boat AND receive the boat's GPS position, AND obtain the point-point diver-boat distance (sonic transponder), you have everything you need. You can now provide the exact 3D position of the diver with surprizing accuracy. The unit has all the variables it needs to calculate the exact coordinates. It can now do anything a normal GPS can do as well - log position, times, depth, ect....
No need for differential here. Differential would be hard to do with the boat anyway. You don't know its exact position with better accuracy than GPS, so there will be no benefit. You could use a very similar method, but for the point-point calculations - as I said above, get an angle and the distance, everything else is elementary.
Most differential GPS systems are post-processed now anyway
You da man!
(It doesn't take much to get an Engineer like me excited - I work with Inertial and GPS stuff at my "normal" job
James