I am working on a problem in robot tracking, where our main position sensor will be unavailable for up to a second due to its low frequency. That's why we would need to track its 2D-movements (x&y-axes) during these intervals using an accelerometer. I think the right term for this process is called dead reckoning. In case I lack additional sensors, I probably have to take the double integral of the acceleration...
What I am looking for, is a way to estimate the needed sensor-accuracy to achieve a defined tracking accuracy (say 10mm). Does maybe a closed form expression exist? Or is there any general work on this topic? (I couldn't find anything) The only method of doing this that I can think of would be simulating a test trajectory for the sensors and calculate the accuracy. But that would require to run a simulation of every possible sensor candidate...