一种改进的经验模态分解消噪阈值函数

new differentiable thresholding function is proposed based on traditional empirical mode decomposition (EMD) thresholding functions. The proposed thresholding function is simple in expression and convenient to calculate. It is continuous and has a high order derivative. The new thresholding function can overcome the discontinuity of EMD hard thresholding functions. It also can overcome the defect that there is a stable dispersion between the denoised EMD coefficients and the original EMD coefficients of soft thresholding functions. The experimental results shows that, compared to the EMD hard and soft thresholding functions, the denoised signal by the proposed thresholding function has higher SNR, lower MSE and clearer visual effect. The Gibbs phenomenon near the singularities of the denoised signal is effectively weakened.