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Combined noise reduction and DOA estimation algorithm for MEMS vector hydrophone based on variational mode decomposition

Zhenzhen Shang (Taiyuan University, Taiyuan, China)
Libo Yang (Taiyuan University, Taiyuan, China)
Wendong Zhang (Key Laboratory of Instrumentation Science and Dynamic Measurement, North University of China, Taiyuan, China)
Guojun Zhang (North University of China, Taiyuan, China, and)
Xiaoyong Zhang (North University of China, Taiyuan, China, and)
Hairong Kou (Taiyuan University, Taiyuan, China)
Junbing Shi (Taiyuan University, Taiyuan, China)
Xin Xue (Taiyuan University, Taiyuan, China)

Sensor Review

ISSN: 0260-2288

Article publication date: 11 April 2023

Issue publication date: 1 May 2023




This paper aims to solve the problem that strong noise interference seriously affects the direction of arrival (DOA) estimation in complex underwater acoustic environment. In this paper, a combined noise reduction algorithm and micro-electro-mechanical system (MEMS) vector hydrophone DOA estimation algorithm based on singular value decomposition (SVD), variational mode decomposition (VMD) and wavelet threshold denoising (WTD) is proposed.


Firstly, the parameters of VMD are determined by SVD, and the VMD method can decompose the signal into multiple intrinsic mode functions (IMFs). Secondly, the effective IMF component is determined according to the correlation coefficient criterion and the IMF less than the threshold is processed by WTD. Then, reconstruction is carried out to achieve the purpose of denoising and calibration baseline drift. Finally, DOA estimation is achieved by the combined directional algorithm of preprocessed signal.


Simulation and field experiments results show that the algorithm has good noise reduction and baseline drift correction effects for nonstationary underwater signals, and high-precision azimuth estimation is realized.


This research provides the basis for MEMS hydrophone detection and positioning and has great engineering significance in underwater detection system.



This work was supported by National Innovation and Entrepreneurship Training Program for College Students of Shanxi Province: 20221311; Science and Technology Innovation Plan for colleges and universities in Shanxi Province: 2022L575, 2022L577; Science and Technology Innovation Project of Shanxi Higher Education Institution: 2020L0718; Teaching Reform and Innovation Project of Education Department of Shanxi Province: J20221195; Teaching Reform and Innovation Project of Taiyuan University: jg202205; The Natural Youth Science Foundation of Shanxi province: 202103021223005.

Ethics statements and conflict of interest: The authors declared that they have no conflicts of interest to this work. The author declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.


Shang, Z., Yang, L., Zhang, W., Zhang, G., Zhang, X., Kou, H., Shi, J. and Xue, X. (2023), "Combined noise reduction and DOA estimation algorithm for MEMS vector hydrophone based on variational mode decomposition", Sensor Review, Vol. 43 No. 2, pp. 99-107.



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