View Full Version : Re: Deriving displacement data from acceleration data ??

12-18-1995, 12:27 AM
>Dear Biomch-L,
>Are there any studies which compare displacement/deformation data derived
>directly (eg. displacement transducer) with data derived indirectly via
>double integration of acceleration data (eg. with accelerometer) ?
I no of no formal studies but we have look at this over the years in terms
of our single joint studies. The short answer is that you cant get there
from here. You cant get a good estimate of position from acceleration and
you cant even get all that good an estimate of velocity. This is based on
the assumption that you use the usual 12 bit A/D converters and instruments
good enough but not a lot better.

The reason, as best as I can figure it out, is that you only have +/- 1/2
bit accuracy in your definition of zero and this is a bias, not a random
error. Integrating it out gives you significant errors over several
hundred integration steps which is usually a minimum number that one uses.
Accelerometer signals look great and are much better than second derivates
of angle but if you want to see what happens when you crank up the
resolution from 12 to 16 bits, take a look at our paper "Electromechanical
delay: an experimental artifact.", Corcos et al, J. Electromyography and
Kinesiology, 2:59-68, 1992.

I played with the idea of asking to get the accelerometers off of the
ballistic missiles they were destroying for START a few years ago figuring
if they can use them to compute trajectories over a few thousand miles,
they might work for a 60 degree elbow movement but decided it was probably
more trouble than it was worth.

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