Relevant modes selection method based on Spearman correlation coefficient for laser signal denoising using empirical mode decomposition

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• 作者：Yabo Duan ; Chengtian Song
• 关键词：Signal denoising ; Empirical mode decomposition ; Thresholding ; Spearman correlation coefficient ; Laser ranging
• 刊名：Optical Review
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：23
• 期：6
• 页码：936-949
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Optics, Lasers, Photonics, Optical Devices; Atomic, Molecular, Optical and Plasma Physics; Quantum Optics; Microwaves, RF and Optical Engineering;
• 出版者：Springer Japan
• ISSN：1349-9432
• 卷排序：23

文摘

Empirical mode decomposition (EMD) is a recently proposed nonlinear and nonstationary laser signal denoising method. A noisy signal is broken down using EMD into oscillatory components that are called intrinsic mode functions (IMFs). Thresholding-based denoising and correlation-based partial reconstruction of IMFs are the two main research directions for EMD-based denoising. Similar to other decomposition-based denoising approaches, EMD-based denoising methods require a reliable threshold to determine which IMFs are noise components and which IMFs are noise-free components. In this work, we propose a new approach in which each IMF is first denoised using EMD interval thresholding (EMD-IT), and then a robust thresholding process based on Spearman correlation coefficient is used for relevant modes selection. The proposed method tackles the problem using a thresholding-based denoising approach coupled with partial reconstruction of the relevant IMFs. Other traditional denoising methods, including correlation-based EMD partial reconstruction (EMD-Correlation), discrete Fourier transform and wavelet-based methods, are investigated to provide a comparison with the proposed technique. Simulation and test results demonstrate the superior performance of the proposed method when compared with the other methods.