Abstract
Purpose
The purpose of this study is to show the effectiveness of a physiological signal denoising approach called EMDDWT-CLS.
Methods
This paper presents a new approach for signal denoising based on empirical mode decomposition (EMD), discrete wavelet transform (DWT) thresholding, and constrained least squares (CLS). In particular, the noisy signal is decomposed by empirical mode decomposition (EMD) to obtain intrinsic mode functions (IMFs) plus a residue. Then, each IMF is denoised by using the discrete wavelet transform (DWT) thresholding technique. Finally, the denoised signal is recovered by performing a weighted summation of the denoised IMFs except the residue. The weights are determined by estimating a constrained least squares coefficients; where, the sum of the coefficients is constrained to unity. We used human ECG and EEG signals, and also two EEG signals from left and right cortex of two healthy adult rats.
Results
The 36 experimental results show that the proposed EMD-DWT-CLS provides higher signal-to-noise ratio (SNR) and lower mean of squared errors (MSE) than the classical EMD-DWT model.
Conclusions
Based on comparison with classical EMDDWT model used in the literature, the proposed approach was found to be effective in human and animal physiological signals denoising.
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References
Jose J, Prahladan A, Nair MS. Speckle reduction and contrast enhancement of ultrasound images using anisotropic diffusion with Jensen Shannon divergence operator. Biomed Eng Lett. 2013; 3(2):87–94.
Biradar N, Dewal ML, Rohit MK. A novel hybrid homomorphic fuzzy filter for speckle noise reduction. Biomed Eng Lett. 2014; 4(2):176–85.
Park J, Kang JB, Chang JH, Yoo Y. Speckle reduction techniques in medical ultrasound imaging. Biomed Eng Lett. 2014; 4(1):32–40.
Osadebey M, Bouguila N, Arnold D, the ADNI. Optimal selection of regularization parameter in total variation method for reducing noise in magnetic resonance images of the brain. Biomed Eng Lett. 2014; 4(1):80–92.
Biradar N, Dewal ML, Rohit MK. Comparative analysis of despeckling filters for continuous wave Doppler images. Biomed Eng Lett. 2015; 5(1):33–44.
Lahmiri D, Boukadoum M. Biomedical image denoising using variational mode decomposition. Conf Proc IEEE T Biomed Circuits Syst. 2014; 1:340–3.
Lahmiri S. Image denoising in bidimensional empirical mode decomposition domain: The role of Student probability distribution function. IET Healthc Tech Lett. Submitted.
Ahirwal MK, Kumar A, Singh GK. Analysis and testing of PSO variants through application in EEG/ERP adaptive filtering approach. Biomed Eng Lett. 2012; 2(3):186–97.
Ge S, Han M, Hong X. A Fully automatic ocular artifact removal from EEG based on fourth-order tensor method. Biomed Eng Lett. 2014; 4(1):55–63.
Lahmiri S. A Comparative study of ECG signal denoising by wavelet thresholding in empirical and variational mode decomposition domains. IET Healthc Tech Lett. 2014; 1(3):104–9.
McSharry PE, Clifford GD, Terassenko L, Smith LA. A dynamical model for generating synthetic electrocardiogram signals. IEEE T Biomed Eng. 2003; 50(3):289–94.
Huang NE, Shen Z, Long SR, Wu MC, Shih HH, Zheng Q, Yen NC, Tung CC, Liu HH. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc Royal Soc London. 1998; doi:10.1098/rspa.1998.0193.
Daubechies I. Ten lectures on wavelets. SIAM. 1998; doi:10.1137/1.9781611970104.
Alfaouri M, Daqrouq K. ECG signal denoising by wavelet transform thresholding. Am J Appl Sci. 2008; 5(3):276–81.
Poornachandra S. Wavelet-based denoising using subband dependent threshold for ECG signals. Digit Signal Process. 2008; 18(1):49–55.
Stein CM. Estimation of the mean of a multivariate normal distribution. Ann Stat. 1981; 9(6):1135–51.
Donoho DL, Johnstone IM. Adapting to unknown smoothness via wavelet shrinkage. J Am Stat Assoc. 1995; 90(432):1200–24.
Luisier F, Blu T, Unser M. A new SURE approach to image denoising: interscale orthonormal wavelet thresholding. IEEE T Image Process. 2007, 16(3):593–606.
De Pierro AR, Wei M. Some new properties of the equality constrained and weighted least squares problem. Linear Algebra Appl. 2000; 320(1–3):145–65.
Judge GG, Takayama T. Inequality restrictions in regression analysis. J Am Stat Assoc. 1966; 61(313):166–81.
Liew CK. Inequality constrained least-squares estimation. J Am Stat Assoc. 1976; 71(355):746–51.
Gill PE, Murray W, Wright MH. Practical Optimization. London Academic Press; 1981.
Swartz center for computational neuroscience. http://sccn.ucsd.edu. Accessed 15 Sept 2014.
Breitung J. The local power of some unit root tests for panel data. In: Baltagi BH, editor. Advances in econometrics, vol. 15: Nonstationary panels, panel cointegration, and dynamic panels. Amsterdam JAI; 2000. pp. 161–78. Panel Cointegration, and Dynamic Panels. Amsterdam: JAI Press, 2000; 15: 161–78.
Phillips PCB, Perron P. Testing for a unit root in time series regression. Biometrika, 1988; 75(2):335–46.
Dickey DA, Fuller WA. Distribution of the estimators for autoregressive time series with a unit root. J Am Stat Assoc. 1979; 74(366):427–31.
Luisier F, Blu T, Unser M. Image denoising in mixed poisson-Gaussian noise. IEEE T Image Process. 2011, 20(3):696–708.
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Lahmiri, S., Boukadoum, M. A weighted bio-signal denoising approach using empirical mode decomposition. Biomed. Eng. Lett. 5, 131–139 (2015). https://doi.org/10.1007/s13534-015-0182-2
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DOI: https://doi.org/10.1007/s13534-015-0182-2