학술논문

Wavelet-Based Moment-Matching Techniques for Inertial Sensor Calibration
Document Type
Periodical
Source
IEEE Transactions on Instrumentation and Measurement IEEE Trans. Instrum. Meas. Instrumentation and Measurement, IEEE Transactions on. 69(10):7542-7551 Oct, 2020
Subject
Power, Energy and Industry Applications
Components, Circuits, Devices and Systems
Calibration
Stochastic processes
Electronic mail
Biological system modeling
Economics
Time series analysis
Estimation
Allan variance (AV)
autonomous regression method for AV
generalized method of wavelet moments (GMWM)
inertial measurement unit (IMU)
slope method
stochastic error
Wavelet variance (WV)
Language
ISSN
0018-9456
1557-9662
Abstract
The task of inertial sensor calibration has required the development of various techniques to take into account the sources of measurement error coming from such devices. The calibration of the stochastic errors of these sensors has been the focus of increasing amount of research in which the method of reference has been the so-called “Allan variance (AV) slope method” which, in addition to not having appropriate statistical properties, requires a subjective input which makes it prone to mistakes. To overcome this, recent research has started proposing “automatic” approaches where the parameters of the probabilistic models underlying the error signals are estimated by matching functions of the AV or wavelet variance with their model-implied counterparts. However, given the increased use of such techniques, there has been no study or clear direction for practitioners on which approach is optimal for the purpose of sensor calibration. This article, for the first time, formally defines the class of estimators based on this technique and puts forward theoretical and applied results that, comparing with estimators in this class, suggest the use of the Generalized method of Wavelet moments (GMWM) as an optimal choice. In addition to analytical proofs, experiment-driven Monte Carlo simulations demonstrated the superior performance of this estimator. Further analysis of the error signal from a gyroscope was also provided to further motivate performing such analyses, as real-world observed error signals may show significant deviation from manufacturer-provided error models.