Abstract

Owing to the complexity of the ocean background noise, underwater acoustic signal denoising is one of the hotspot problems in the field of underwater acoustic signal processing. In this paper, we propose a new technique for underwater acoustic signal denoising based on complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN), mutual information (MI), permutation entropy (PE), and wavelet threshold denoising. CEEMDAN is an improved algorithm of empirical mode decomposition (EMD) and ensemble EMD (EEMD). First, CEEMDAN is employed to decompose noisy signals into many intrinsic mode functions (IMFs). IMFs can be divided into three parts: noise IMFs, noise-dominant IMFs, and real IMFs. Then, the noise IMFs can be identified on the basis of MIs of adjacent IMFs; the other two parts of IMFs can be distinguished based on the values of PE. Finally, noise IMFs were removed, and wavelet threshold denoising is applied to noise-dominant IMFs; we can obtain the final denoised signal by combining real IMFs and denoised noise-dominant IMFs. Simulation experiments were conducted by using simulated data, chaotic signals, and real underwater acoustic signals; the proposed denoising technique performs better than other existing denoising techniques, which is beneficial to the feature extraction of underwater acoustic signal.

Highlights

  • With the development of ocean scientific technology, the use and protection of the oceans have attracted more extensive attention

  • Four kinds of signals with different signal-to-noise ratio (SNR) are denoised by empirical mode decomposition (EMD)-mutual information (MI), ensemble EMD (EEMD)-MI, CEEMDAN-MI, CEEMDAN-MI-permutation entropy (PE), and wavelet soft-threshold denoising (WSTD)

  • To improve the denoising effect of underwater acoustic signal, a new denoising method is proposed based on CEEMDAN, MI, PE, and WSTD

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Summary

Introduction

With the development of ocean scientific technology, the use and protection of the oceans have attracted more extensive attention. In a previous paper [13], a new health degradation monitoring and early fault diagnosis for rolling bearing signal is proposed using CEEMDAN and improved multi-scale entropy In another past paper [14], a fault diagnosis algorithm for planetary gear is put forward based on CEEMDAN, PE, and an adaptive neuro-fuzzy inference system. This paper is organized as follows: Section 2 is the basic methods of CEEMDAN, MI, PE, and wavelet threshold denoising; in Section 3, the underwater acoustic signal denoising technique is presented; in Sections 4–6, the proposed denoising algorithm is applied to simulated data, chaotic signals, and real underwater acoustic signals respectively; Section 7 is the conclusion

CEEMDAN
Wavelet Threshold Denoising
Denoising Algorithm for Underwater Acoustic Signal
CEEMDAN for Simulation Signal
Identifying Noise IMFs
Identifying Noise-Dominant IMFs
Denoising for Noise-Dominant IMFs and Reconstruction
Wavelet Denoising
Comparison of Denoising Effect
Denoising for Chaotic Signal
10. Lorenz
Denoising for Underwater Acoustic Signal
Conclusions
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