[gregsadetsky]

When this topic comes up, I'm always happy to share this incredible lecture from many many years ago about sensor fusion and dead reckoning and how you _cannot_ integrate acceleration twice:

https://www.youtube.com/watch?v=C7JQ7Rpwn2k&t=1401s (the whole video is incredible, but this timestamp is the magical bit)

[pezezin]

12 years ago I had to write the firmware for an IMU. It took me some real effort to convince my bosses that double integration was, for all practical purposes, impossible. I wish I had known about this video back then...

IMU are very useful to known your orientation though. Even an inaccurate IMU is useful to provide an initial estimate to feed vision-based algorithms.

[hahahaa]

So you tend to need additional data or assumptions to constrain the double integral?

[pezezin]

You don't double integrate, period. You essentially have three options:

1) An absolute positioning system like GPS.

2) A visual positioning system like fiducial markers or SLAM.

3) Something that can measure linear speed and then you integrate the speed only once. Easy to do on vehicles, but even the most accurate system will quickly drift.