Numerical double integration of acceleration measurements in noise. Thong, Y. K., Woolfson, M. S., Crowe, J. A., Hayes-Gill, B. R., & Jones, D. A. Measurement, 36:73--92, 2004.
Numerical double integration of acceleration measurements in noise [link]Paper  doi  abstract   bibtex   
In several applications one or more accelerometers are used to estimate position, which is derived by double integration of the acceleration measurements. An experimental method to calibrate the positional errors due to noise for an accelerometer has already been developed. In this paper, a theoretical formalism for this calibration method is derived, which is based on modelling the acceleration measurements as filtered noise. The effects of numerical integration are included in the model. Two accelerometers, with different noise ratings, are chosen for study. It is found that the theoretical model gives good quantitative agreement between theory and experiment for the variation of positional errors with integration time. The causes of the discrepancies between the theoretical and experimentally found results are discussed and suggestions are made for further research.
@Article{Thong2004,
  Title                    = {Numerical double integration of acceleration measurements in noise},
  Author                   = {Thong, Y. K. and Woolfson, M. S. and Crowe, J. A. and Hayes-Gill, B. R. and Jones, D. A.},
  Journal                  = {Measurement},
  Year                     = {2004},
  Pages                    = {73--92},
  Volume                   = {36},

  Abstract                 = {In several applications one or more accelerometers are used to estimate position, which is derived by double integration of the acceleration measurements. An experimental method to calibrate the positional errors due to noise for an accelerometer has already been developed. In this paper, a theoretical formalism for this calibration method is derived, which is based on modelling the acceleration measurements as filtered noise. The effects of numerical integration are included in the model. Two accelerometers, with different noise ratings, are chosen for study. It is found that the theoretical model gives good quantitative agreement between theory and experiment for the variation of positional errors with integration time. The causes of the discrepancies between the theoretical and experimentally found results are discussed and suggestions are made for further research.},
  Doi                      = {DOI: 10.1016/j.measurement.2004.04.005},
  ISSN                     = {0263-2241},
  Keywords                 = {Accelerometers, integration drift},
  Timestamp                = {2010.04.01},
  Url                      = {http://www.sciencedirect.com/science/article/B6V42-4CPDPPS-2/2/6c030e611b0af9ba575075981566e8ac}
}

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