Modeling with Noises for Inertial Sensors:

K. Wang, S. Xiong, and Y. Li

Abstract:	ARMA-modeling the inertial sensor’s colored noise must determine the AR parameters, the MA parameters, as well as the variance of the measurement white noise when the order of the ARMA model is estimated. Due to the existence of the MA items, the Yule-Walker equation constructed by the colored noise’s autocovariances starts from the order higher than the order of MA or AR model, which prevents from further improvement of the ARMA-modeling accuracy. In this paper, the ARMA model is approximated to a high-order AR model. Since there are no MA items in the approximated AR model, the Yule-Walker equation can be constructed from the 1st-order of the colored noise’s autocovariances, which is beneficial to improving the estimation accuracy of the white noise variance. This method can also be used to estimate the AR parameters accurately. Simulations and experiment validate the effectiveness of the method. The length of the colored noise used in the ARMA modeling is also determined quantitatively.
Published in:	Proceedings of IEEE/ION PLANS 2012 April 24 - 26, 2012 Myrtle Beach Marriott Resort & Spa Myrtle Beach, South Carolina
Pages:	625 - 632
Cite this article:	Wang, K., Xiong, S., Li, Y., "Modeling with Noises for Inertial Sensors:," Proceedings of IEEE/ION PLANS 2012, Myrtle Beach, South Carolina , April 2012, pp. 625-632. https://doi.org/10.1109/PLANS.2012.6236937
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