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Re: Deriving displacement data from acceleration data ??

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  • Re: Deriving displacement data from acceleration data ??

    >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.

    __________________________________________________ _________________
    | Gerry Gottlieb (617) 353-8984 beauty |
    | NeuroMuscular Research Center 353-9757 is |
    | Boston University fax 353-5737 truth |
    | 44 Cummington St. etc, etc. |
    | Boston MA 02215 /\ http://nmrc.bu.edu/MCL/glg.html |
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