Abstract

In order to suppress the random shift error of laser gyro and improve the practical precision of inertial navigation system, an improved gyro filtering method is proposed by combining the complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN) and principal component analysis (PCA). Firstly, the gyro signal is decomposed by CEEMDAN, and the noise energy of each intrinsic mode function (IMF) is estimated according to the distribution model of noise energy. Then, on basis of noise energy, the principal component analysis is used to remove the noise IMF to achieve the final denoising of gyro signal. In the proposed method, CEEMD can improve the mode mixing and denoising effect of gyro signal. Moreover, PCA is used to decompose each IMF. According to the noise energy, the noise of each IMF is removed adaptively to avoid the selection of noise IMF and better retain the useful information of the signal. The proposed method is completely dependent on the characteristics of gyro signal and has good adaptability and strong denoising ability. Furthermore, the filtered effect of different methods is analyzed by overlapping Allan variance. The experimental results show that the proposed method can suppress the gyro random drift more efficiently, and the effect of removing noise is better than EMD threshold method and EMD correlation coefficient method.

Highlights

  • Laser gyroscope is a new generation of inertial measurement element

  • The results show that the proposed method can suppress the gyro random drift more effectively than the existing empirical mode decomposition (EMD) noise reduction methods

  • The laser gyro signal denoising algorithm based on CEEMDAN and principal component analysis (PCA) proposed in this paper are as follows: Conduct CEEMDAN on the gyro signal x(t), and set its intrinsic modal function as intrinsic mode function (IMF) (k = 1,2 ⋯, K), and the remainder as R(t); Let ε(V ) = ε(IMF ), and calculate the energy ε(W ) (k ≥ 2) of the noise contained in IMF according to Eq (13)

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Summary

Introduction

Laser gyroscope is a new generation of inertial measurement element. Compared with traditional mechanical gyroscope, it has many outstanding advantages and has been widely used in many fields [1]. The wavelet denoising method was proposed and the wavelet coefficients were optimized through sparse redundancy representation [5], but the appropriate threshold value and wavelet basis function is difficult to be LASER GYRO SIGNAL FILTERING BY COMBINING CEEMDAN AND PRINCIPAL COMPONENT ANALYSIS. In reference [12], EMD algorithm with traditional time series modeling filtering method was used to compensate the error of gyroscope. In order to overcome the influence of EMD mode mixing and noise IMF selection on denoising, a gyro signal denoising method combining CEEMDAN and principal component analysis (PCA) is proposed in this paper. This method uses CEEMD instead of EMD to achieve almost perfect signal reconstruction. The results show that the proposed method can suppress the gyro random drift more effectively than the existing EMD noise reduction methods

CEEMDAN
Principal component analysis
Gyro signal denoising based on PCA and CEEMDAN
Principal component selection for IMF denoising at each layer
Principal component selection of IMF1
De-noising steps of gyro signal based on CEEMDAN and PCA
Experiment 1
Direct comparison of denoising gyro signals
Comparison of overlapping Allan variance of denoising gyro signal
Experiment 2
Method
Findings
Conclusion

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