Abstract
An adaptive multi-scale method based on the combination generalized morphological filter (CGMF) is presented for de-noising of the output signal from a MEMS gyroscope. A variational mode decomposition is employed to decompose the original signal into multi-scale modes. After choosing a length selection for the structure element (SE), the adaptive multi-scale CGMF method reduces the noise corresponding to the different modes, after which a reconstruction of the de-noised signal is obtained. From an analysis of the effect of de-noising, the main advantages of the present method are that it: (i) effectively overcomes deficiencies arising from data deviation compared with conventional morphological filters (MFs); (ii) effectively targets the different components of noise and provides efficacy in de-noising, not only primarily eliminating noise but also smoothing the waveform; and (iii) solves the problem of SE-length selection for a MF and produces feasible formulae of indicators such as the power spectral entropy and root mean square error for mode evaluations. Compared with the other current signal processing methods, the method proposed owns a simpler construction with a reasonable complexity, and it can offer better noise suppression effect. Experiments demonstrate the applicability and feasibility of the de-noising algorithm.
Highlights
Because of its unique properties, the gyroscope has been widely used in navigation, aviation, aerospace and the national economy, which is one of the key development technologies
We find mode 1 is primary in the gyroscope interference signal
The indicator values for root mean square error (RMSE), power spectral entropy (PSE) and standard deviation (STD) (Table 8) show that this method eliminates the various types of noise more thoroughly than other conventional filters
Summary
Because of its unique properties, the gyroscope has been widely used in navigation, aviation, aerospace and the national economy, which is one of the key development technologies. The resonator fiber optic gyroscope (RFOG) has an improved shot noise limited signal to noise sensitivity for a given size. Dell’Olio et al [3] finished design, fabrication and initial characterization of large-size InGaAsP/InP ring resonators for gyroscope applications Their cavity Q-factor (= 74,000 ± 20%) can realize at least six times larger than the state-of-the-art. To overcome the limitation of the MF in handling measurement noise, in the application to signal de-noising of a gyroscope, we propose an adaptive multi-scale combination generalized morphological filter (CGMF) based on the VMD method. The proposed method overcomes a statistical bias problem of the MF, sets selection criteria for the length choice, and remedies the deficiencies in MF high-intensity noise elimination and the excessive mode eliminations that lead to distortions in VMD analysis
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