4.6 Article

A Hybrid Algorithm for Noise Suppression of MEMS Accelerometer Based on the Improved VMD and TFPF

Journal

MICROMACHINES
Volume 13, Issue 6, Pages -

Publisher

MDPI
DOI: 10.3390/mi13060891

Keywords

High-G MEMS accelerometer (HGMA); multi-objective particle swarm optimization (MOPSO); variational modal decomposition; time-frequency peak filtering; denoising

Funding

  1. National Natural Science Foundation of China [51705477]
  2. Technology Field Fund of Basic Strengthening Plan of China [2021-JCJQ-JJ-0315]
  3. Pre-Research Field Foundation of Equipment Development Department of China [80917010501]
  4. Fundamental Research Program of Shanxi Province [20210302123020, 20210302123062]
  5. Key Research and Development (R&D) Projects of Shanxi Province [201903D111004]
  6. Aeronautical Science Foundation of China [2019080U0002]
  7. Fund for Shanxi 1331 Project Key Subjects Construction
  8. Shanxi province key laboratory of quantum sensing and precision measurement [201905D121001]

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The improved VMD and TFPF hybrid denoising algorithm, which combines variational modal decomposition (VMD) and time-frequency peak filtering (TFPF), is proposed for denoising the output signal of the High-G MEMS accelerometer. This method can accurately extract information-dominated intrinsic mode functions (IMFs) and noise-dominated IMFs, and select appropriate denoising methods based on their characteristics. By comparing the denoising results of different algorithms in the time and frequency domains, it is demonstrated that the improved VMD and TFPF denoising method has smaller signal distortion and stronger denoising ability.
High-G MEMS accelerometer (HGMA) is a new type of sensor; it has been widely used in high precision measurement and control fields. Inevitably, the accelerometer output signal contains random noise caused by the accelerometer itself, the hardware circuit and other aspects. In order to denoise the HGMA's output signal to improve the measurement accuracy, the improved VMD and TFPF hybrid denoising algorithm is proposed, which combines variational modal decomposition (VMD) and time-frequency peak filtering (TFPF). Firstly, VMD was optimized by the multi-objective particle swarm optimization (MOPSO), then the best decomposition parameters [k(best), a(best)] could be obtained, in which the permutation entropy (PE) and fuzzy entropy (FE) were selected for MOPSO as fitness functions. Secondly, the accelerometer voltage output signals were decomposed by the improved VMD, then some intrinsic mode functions (IMFs) were achieved. Thirdly, sample entropy (SE) was introduced to classify those IMFs into information-dominated IMFs or noise-dominated IMFs. Then, the short-window TFPF was selected for denoising information-dominated IMFs, while the long-window TFPF was selected for denoising noise-dominated IMFs, which can make denoising more targeted. After reconstruction, we obtained the accelerometer denoising signal. The denoising results of different denoising algorithms in the time and frequency domains were compared, and SNR and RMSE were taken as denoising indicators. The improved VMD and TFPF denoising method has a smaller signal distortion and stronger denoising ability, so it can be adopted to denoise the output signal of the High-G MEMS accelerometer to improve its accuracy.

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