Noise Reduction Method of Underwater Acoustic Signals Based on CEEMDAN, Effort-To-Compress Complexity, Refined Composite Multiscale Dispersion Entropy and Wavelet Threshold Denoising

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.

[1]  Hamed Azami,et al.  Improved multiscale permutation entropy for biomedical signal analysis: Interpretation and application to electroencephalogram recordings , 2015, Biomed. Signal Process. Control..

[2]  Xiao Chen,et al.  A Novel Feature Extraction Method for Ship-Radiated Noise Based on Variational Mode Decomposition and Multi-Scale Permutation Entropy , 2017, Entropy.

[3]  Hamed Azami,et al.  Coarse-Graining Approaches in Univariate Multiscale Sample and Dispersion Entropy , 2018, Entropy.

[4]  Xu Fan,et al.  A combined model based on CEEMDAN and modified flower pollination algorithm for wind speed forecasting , 2017 .

[5]  Tao Yu,et al.  An improved empirical mode decomposition method using second generation wavelets interpolation , 2018, Digit. Signal Process..

[6]  Li Ju,et al.  Medium term electricity load forecasting based on CEEMDAN-permutation entropy and ESN with leaky integrator neurons , 2015 .

[7]  Patrick Flandrin,et al.  A complete ensemble empirical mode decomposition with adaptive noise , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[8]  Zhe Chen,et al.  Feature Extraction of Ship-Radiated Noise Based on Permutation Entropy of the Intrinsic Mode Function with the Highest Energy , 2016, Entropy.

[9]  Jian Xu,et al.  Research of Feature Extraction Method Based on Sparse Reconstruction and Multiscale Dispersion Entropy , 2018, Applied Sciences.

[10]  Wang Wenbo,et al.  Chaotic signal denoising method based on independent component analysis and empirical mode decomposition , 2013 .

[11]  Karthi Balasubramanian,et al.  A new complexity measure for time series analysis and classification , 2013, The European Physical Journal Special Topics.

[12]  Yong Li,et al.  Research of Planetary Gear Fault Diagnosis Based on Permutation Entropy of CEEMDAN and ANFIS , 2018, Sensors.

[13]  Hamed Azami,et al.  Refined Composite Multiscale Dispersion Entropy and its Application to Biomedical Signals , 2016, IEEE Transactions on Biomedical Engineering.

[14]  M. Rosenstein,et al.  A practical method for calculating largest Lyapunov exponents from small data sets , 1993 .

[15]  Pengjian Shang,et al.  Modified generalized multiscale sample entropy and surrogate data analysis for financial time series , 2018 .

[16]  Li Yaan,et al.  Noise Reduction of Ship Signals Based on the Local Projective Algorithm , 2011 .

[17]  Francesco Carlo Morabito,et al.  Multivariate Multi-Scale Permutation Entropy for Complexity Analysis of Alzheimer's Disease EEG , 2012, Entropy.

[18]  Christian Napoli,et al.  IMF mode demixing in EMD for jitter analysis , 2017, J. Comput. Sci..

[19]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[20]  Tomasz Figlus,et al.  Diagnosis of the wear of gears in the gearbox using the wavelet packet transform , 2014 .

[21]  Hamed Azami,et al.  Dispersion entropy for the analysis of resting-state MEG regularity in Alzheimer's disease , 2016, 2016 38th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC).

[22]  Haixin Sun,et al.  Resonance-Based Time-Frequency Manifold for Feature Extraction of Ship-Radiated Noise , 2018, Sensors.

[23]  Xiao Chen,et al.  Research on Ship-Radiated Noise Denoising Using Secondary Variational Mode Decomposition and Correlation Coefficient , 2017, Sensors.

[24]  Pengjian Shang,et al.  Fractional empirical mode decomposition energy entropy based on segmentation and its application to the electrocardiograph signal , 2018, Nonlinear Dynamics.

[25]  Hamed Azami,et al.  Amplitude- and Fluctuation-Based Dispersion Entropy , 2018, Entropy.

[26]  Karthi Balasubramanian,et al.  Aging and cardiovascular complexity: effect of the length of RR tachograms , 2016, PeerJ.

[27]  Mohamed Elhoseny,et al.  Emotion recognition using empirical mode decomposition and approximation entropy , 2018, Comput. Electr. Eng..

[28]  Hong Yang,et al.  A New Underwater Acoustic Signal Denoising Technique Based on CEEMDAN, Mutual Information, Permutation Entropy, and Wavelet Threshold Denoising , 2018, Entropy.

[29]  Norden E. Huang,et al.  Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method , 2009, Adv. Data Sci. Adapt. Anal..

[30]  B. Pompe,et al.  Permutation entropy: a natural complexity measure for time series. , 2002, Physical review letters.

[31]  Xiao Chen,et al.  Denoising and Feature Extraction Algorithms Using NPE Combined with VMD and Their Applications in Ship-Radiated Noise , 2017, Symmetry.

[32]  Dan Wu,et al.  Research on Fault Feature Extraction Method of Rolling Bearing Based on NMD and Wavelet Threshold Denoising , 2018 .

[33]  Yanfei Li,et al.  Comparison of two new intelligent wind speed forecasting approaches based on Wavelet Packet Decomposition, Complete Ensemble Empirical Mode Decomposition with Adaptive Noise and Artificial Neural Networks , 2018 .

[34]  Hamed Azami,et al.  Multiscale dispersion entropy for the regional analysis of resting-state magnetoencephalogram complexity in Alzheimer's disease , 2017, 2017 39th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC).

[35]  Songyun Xie,et al.  Improved GP algorithm for the analysis of sleep stages based on grey model , 2017 .

[36]  Yang Hong,et al.  Noise reduction method of ship radiated noise with ensemble empirical mode decomposition of adaptive noise , 2016 .

[37]  Karthi Balasubramanian,et al.  Dynamical complexity of short and noisy time series , 2016, The European Physical Journal Special Topics.

[38]  Hamed Azami,et al.  Dispersion Entropy: A Measure for Time-Series Analysis , 2016, IEEE Signal Processing Letters.