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A new digital algorithm for the velocity translation vector

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Abstract

The error of the conventional sculling correction algorithm under maneuvers is analyzed through Taylor series expansion; a generalized error equation is presented. Using frequency-series sculling algorithms in the digital algorithm for the velocity translation vector will cause the accuracy of the digital algorithm under maneuvers to decrease by one order in iteration time interval. Some New sculling algorithms are developed and evaluated, which are as accurate as frequency-series sculling algorithms under vibrations, and are at least one order more accurate than frequency-series algorithms under maneuvers. Several new digital algorithms are constructed with the presented sculling algorithms for the velocity translation vector, which avoids the loss in accuracy of velocity translation vector under maneuvers. Simulations agree well with the analytical results.

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Authors and Affiliations

  1. College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha, 410073, China

    Min Song & WenQi Wu

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  1. Min Song
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  2. WenQi Wu
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Correspondence to Min Song.

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Song, M., Wu, W. A new digital algorithm for the velocity translation vector. Sci. China Inf. Sci. 56, 1–13 (2013). https://doi.org/10.1007/s11432-012-4758-5

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  • DOI: https://doi.org/10.1007/s11432-012-4758-5

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