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Open AccessArticle

Sparse ECG Denoising with Generalized Minimax Concave Penalty

1
Shandong Provincial Key Laboratory of Computer Networks, Shandong Computer Science Center (National Supercomputer Center in Jinan), Qilu University of Technology (Shandong Academy of Sciences), Jinan 250014, China
2
School of Computer Science and Technology, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
*
Authors to whom correspondence should be addressed.
Sensors 2019, 19(7), 1718; https://doi.org/10.3390/s19071718
Received: 12 March 2019 / Revised: 3 April 2019 / Accepted: 8 April 2019 / Published: 10 April 2019
(This article belongs to the Special Issue Machine Learning for Sensing and Healthcare)
The electrocardiogram (ECG) is an important diagnostic tool for cardiovascular diseases. However, ECG signals are susceptible to noise, which may degenerate waveform and cause misdiagnosis. In this paper, the ECG noise reduction techniques based on sparse recovery are investigated. A novel sparse ECG denoising framework combining low-pass filtering and sparsity recovery is proposed. Two sparsity recovery algorithms are developed based on the traditional 1 -norm penalty and the novel generalized minimax concave (GMC) penalty, respectively. Compared with the 1 -norm penalty, the non-differentiable non-convex GMC penalty has the potential to strongly promote sparsity while maintaining the convexity of the cost function. Moreover, the GMC punishes large values less severely than 1 -norm, which is utilized to overcome the drawback of underestimating the high-amplitude components for the 1 -norm penalty. The proposed methods are evaluated on ECG signals from the MIT-BIH Arrhythmia database. The results show that underestimating problem is overcome by the proposed GMC-based method. The GMC-based method shows significant improvement with respect to the average of output signal-to-noise ratio improvement ( S N R i m p ), the average of root mean square error (RMSE) and the percent root mean square difference (PRD) over almost any given SNR compared with the classical methods, thus providing promising approaches for ECG denoising. View Full-Text
Keywords: ECG denoising; sparse recovery; Generalized Minimax Concave Penalty (GMC); 1-norm ECG denoising; sparse recovery; Generalized Minimax Concave Penalty (GMC); 1-norm
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Jin, Z.; Dong, A.; Shu, M.; Wang, Y. Sparse ECG Denoising with Generalized Minimax Concave Penalty. Sensors 2019, 19, 1718.

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