Abstract

Owing to the problems that imperfect decomposition process of empirical mode decomposition (EMD) denoising algorithm and poor self-adaptability, it will be extremely difficult to reduce the noise of signal. In this paper, a noise reduction method of underwater acoustic signal denoising based on complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN), effort-to-compress complexity (ETC), refined composite multiscale dispersion entropy (RCMDE) and wavelet threshold denoising is proposed. Firstly, the original signal is decomposed into several IMFs by CEEMDAN and noise IMFs can be identified according to the ETC of IMFs. Then, calculating the RCMDE of remaining IMFs, these IMFs are divided into three kinds of IMFs by RCMDE, namely noise-dominant IMFs, real signal-dominant IMFs, real IMFs. Finally, noise IMFs are removed, wavelet soft threshold denoising is applied to noise-dominant IMFs and real signal-dominant IMFs. The denoised signal can be obtained by combining the real IMFs with the denoised IMFs after wavelet soft threshold denoising. Chaotic signals with different signal-to-noise ratio (SNR) are used for denoising experiments by comparing with EMD_MSE_WSTD and EEMD_DE_WSTD, it shows that the proposed algorithm has higher SNR and smaller root mean square error (RMSE). In order to further verify the effectiveness of the proposed method, which is applied to noise reduction of real underwater acoustic signals. The results show that the denoised underwater acoustic signals not only eliminate noise interference also restore the topological structure of the chaotic attractors more clearly, which lays a foundation for the further processing of underwater acoustic signals.

Highlights

  • The underwater acoustic signals processing is one of the most active subjects in modern information fields [1,2]

  • In order to solve the problem that inaccurate discrimination of IMFs because of imperfect decomposition process of empirical mode decomposition (EMD) denoising algorithm and poor self-adaptability, a noise reduction method of underwater acoustic signal denoising based on CEEMDAN, combining effort-to-compress complexity (ETC), refined composite multiscale dispersion entropy (RCMDE) and wavelet threshold denoising is proposed

  • The innovations and conclusions of the proposed denoising method are as follows: (1) CEEMDAN, as an adaptive decomposition algorithm based on ensemble empirical mode decomposition (EEMD), is introduced for underwater acoustic signal denoising. which has great development potential in the field of non-linear signal processing

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Summary

Introduction

The underwater acoustic signals processing is one of the most active subjects in modern information fields [1,2]. Empirical Mode Decomposition (EMD) is proposed by Huang [8], it is an adaptive decomposition method for processing some non-linear and non-stationary signals. Compared with other multiscale methods, RCMDE has the advantages of better stability, faster calculation speed, stronger stability and higher recognition rate and so forth It is more suitable for researching and processing the non-linear and non-stationary signal. In view of the advantages of CEEMDAN and RCMDE in non-linear dynamics, they are applied to non-linear chaotic signals and actual underwater acoustic signals and proposed a noise reduction algorithm combined with ETC and wavelet threshold denoising. (4) Through qualitative and quantitative analysis to denoised signal, the noise reduction effect of the proposed algorithm is verified by comparing with EMD_MSE_WSTD and EEMD_DE_WSTD IMFs. (3) The proposed algorithm is respectively applied to Chens model and actual underwater acoustic signals. (4) Through qualitative and quantitative analysis to denoised signal, the noise reduction effect of the proposed algorithm is verified by comparing with EMD_MSE_WSTD and EEMD_DE_WSTD

Basic Theory
CEEMDAN
Refined
Mean value and standard
Wavelet Threshold Denoising
The Proposed Noise Reduction Algorithm
Evaluation Method of Chaotic Time Series
Correlation Dimension
Lyapunov Exponent
The Chaotic Signal Denoising Experiment
Thetime-domain time-domain space ofof
The time-domain attractors of of
Conclusions
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